Glossary of Physics Formulas

Size: px
Start display at page:

Download "Glossary of Physics Formulas"

Transcription

1 Glossary of Physics Formulas 1. Kinematic relations in 1-D at constant velocity Mechanics, velocity, position x - x o = v (t -t o ) or x - x o = v t x o is the position at time = t o (this is the beginning time and it can often be set to zero; hence the second equation shown). x is the position at time t v is the constant velocity 2. Kinematic relations x o is the position at t = 0 in 1-D at constant x - x o = v o t +½ a t 2 x is the position at time = t acceleration v o is the velocity at t = 0 (initial velocity) Mechanics, velocity, position, acceleration a is the constant acceleration 3. Distance covered during braking d =distance for braking to a complete stop. v o is the velocity before the brakes are applied. Mechanics, velocity, position, deceleration d = a is the absolute value of the deceleration. 4. (Ax, Ay) and (Bx, By) are the C=(Ax+Bx, Ay+By) Vector sum and components of the two vectors magnitude and A and B. velocities, momenta C = 5. Projectile range Mechanics, 2-D motion, gravity R= sin (2θ) v is the velocity of the projectile at the beginning (see figure below). g is the acceleration due to gravity (on Earth = 9.8m/s 2 ). θ is the angle (above the horizontal) at which the projectile is fired. 6. Speed of impact for a free-falling object free fall, accelerated motion, gravity v= v is the downward speed just before impact on the ground (in meters/seconds). g is the constant acceleration due to gravity = 9.8 m/s 2. h is the original height (in meters). Notice: Formula assumes that air resistance can be neglected.

2 7. Time of impact for a freefalling object t is the time of the impact on the ground (in seconds). g is the constant acceleration due to gravity = 9.8 m/s 2. h is the original height (in meters). free fall, accelerated motion, gravity t= Notice: Formula assumes that air resistance can be neglected. 8. p is the momentum of an object of mass m and velocity v. Momentum p= mv Notice: Momentum is a vector quantity, requiring magnitude AND direction. 9. J is the impulse delivered by an average force F that has Impulse been applied for a time equal to t. J = F t 10. Work Mechanics, energy, forces, newton s laws of motion, gravity, normal force, weight W = F d 11. Potential energy PE = mgh 12. Kinetic energy KE = ½ mv Total mechanical energy E tot = KE+PE= constant 14. Work-Energy theorem W= ΔKE W is the work done on an object (in Joules). F is the applied force (in Newtons). d is the distance (along F) the object moves (in meters). Notice: The amount of work depends also on the cosine of the angle between the direction of the force and the direction of motion. If this angle is zero, you get the work as indicated by the formula on the left. But if this angle is 90 then the work done is zero. PE is the potential energy due to the height of an object above the ground (in Joules). m is the mass. g is 9.8m/s 2 (near the surface of the Earth). h is the height above the ground. KE is the kinetic energy due to the motion of an object (in Joules). m is the mass. v is the speed of the object. One assumes that no energy losses occur such as heat (as a result of friction, for example). W is the work done on an object, in Joules (assuming no losses such as those produced by friction). Δ KE means change in the kinetic energy. Thus work sets things into motion.

3 15. Weight Mechanics, Newton s second law, gravity w= 16. Centripetal force circular motion, gravity, tension F c = w is the weight of an object (in Newtons). m is the mass of the object (in kilograms). g is the constant acceleration due to gravity = 9.8 m/s 2. Notice: Our weight is often associated with the pull of gravity. But more correctly it is the reaction (equal and opposite the pull of gravity) of the floor against our feet. F c is the force in Newtons, m is the mass in Kg, v is the speed (in meters/seconds) around the circle, R is the radius of the circle (in meters). Notice: The direction of the force is toward the center of the circle. 17. F is the NET force acting on an object of mass m. Newton s second law a is the acceleration that results from the action of the force. Mechanics, Newton s second law, gravity F= a= F/m 18. Static and kinetic friction Newton s laws of motion, gravity, normal force, weight F f = F f = Notice: This is one of the most important formulas in Physics. It tells us that whenever we observe an accelerated motion, there must be some unbalanced force acting on the object. It is important to realize that both acceleration and force are vector quantities. So there is acceleration (hence a force) even if an object changes direction, even if the speed is constant. F f is the force of friction (in Newtons). μ s and μ k are the coefficient for static and kinetic friction, numbers that depend only on the materials rubbing each other. They have no unit. F n is the normal force (in Newtons). Notice: The direction of the friction force is always opposite to the direction of motion.

4 19. Hooke s Law F = Newton s laws of motion, gravity, weight F is the force exerted by a spring. k is the spring constant (tells us how stiff the spring is). xo is the position of the free end of the spring (when no mass is attached to it). x is the position of the free end of the spring (when the mass is attached to it). Notice: The direction of the force is always opposite to the direction of the stretching, hence the minus sign in the formula. 20. Angular momentum Newton s laws of motion, gravity, rotational motion L = mvr 21. Torque Newton s laws of motion, rotational motion T = 22. Moment of Inertia Newton s laws of motion, rotational motion For a point mass m, rotating around a point at a distance R from the center I =mr 2 L is the angular momentum measured in Js. m is the mass of the rotating object. v is the rotational speed. R is the radius of rotation. Notice: In the absence of torques, angular momenta are conserved quantities. T is the torque, measured in unit of N m, and F is the force acting perpendicular to the radius R of rotation. Notice: The torque also depends on the sin of the angle of the force and the radius of rotation. So if this angle is zero, the torque is also zero, and it is maximum when the angle is 90. I is the equivalent of mass for rotational motion. It corresponds to rotational inertia, the same as mass corresponds to linear inertia. I is measured in kgm The unit of power is Watts = Joules/seconds. Power energy, work P =energy/time Or work/time A more powerful machine is one that does the same amount of work, but in a shorter amount of time. 24. Law of Universal Gravitation F is the force of attraction between two masses m and M whose centers are separated by the distance d. G is a universal constant equal to planetary motion, mass F = G 6.67 Nm 2 /kg 2 Notice: F is always attractive. This is Isaac Newton s greatest masterpiece.

5 25. Orbital and escape speed planetary motion, mass, circular motion v orb = v esc = v orb is the orbital speed of a satellite around a mass M at a distance d from the center of that mass. v esc is the escape speed of a satellite around a mass M at a distance d from the center of that mass. G is a universal constant (see 24). 26. T is the period of oscillation of the pendulum (full Period of a pendulum swing). T =2π L is the length of the pendulum. Mechanics, g is the acceleration due to gravity. 27. T C is the temperature in degrees Celsius. Temperature scales T F is the temperature in degrees Fahrenheit. T C = (T F - 32) thermometers, hot and cold T F = T C + 32 Notice: The value of 9/5 in the second equation is multiplied only by T C, hence there is no parenthesis. 28. Specific heat for homogeneous phases Q = mc ΔT 29. Q = ml f Latent heat of melting (fusion) and vaporization Q = ml v 30. Linear expansion of solids ΔL = L α ΔT 31. Volume expansion of a liquid ΔV = V β ΔT Q is the heat in Joules added or subtracted to a system (isolated) of mass m (in Kg). c is a specific heat constant (for water c= 4186 J/Kg C). ΔT is the change in temperature in degrees Celsius. Q is the heat in Joules added or subtracted to a system undergoing a phase change (at the melting and vaporization temperatures). m is the mass of the material (in Kg). L f (or L v ) are constants for that material. ΔL is the change in length (in meters) of an object due to the addition or removal of heat. L is the original length of the object. α is the coefficient of linear expansion, which depends on the material. ΔT is the change in temperature in degrees Celsius. ΔV is the change in volume (in m 3, liter, gallons, etc.) of a liquid due to the addition or removal of heat. V (in m 3, liter, gallons, etc.) is the original volume of the liquid. β is the coefficient of volume expansion, which depends on the material. ΔT is the change in temperature in degrees Celsius.

6 32. First law of thermo ΔE is the increase in internal energy of a system. ΔQ is the heat added to the system. ΔW is the work done by the system. ΔE = ΔQ ΔW 33. Ideal Gas Law pressure PV = nrt Special cases: (when T is constant) P 1 V 1 = P 2 V 2 (when V is constant) P 1 / T 1 = P 2 /T 2 (when P is constant) V 1 / T 1 = V 2 /T Density Fluid, thermo ρ = m/v 35. Pressure Fluid, thermo P = F/A P is the pressure of the gas (in Pascals). V is the volume of the gas (in m 3 ). n is the number of moles of gas (1 mole= 6.02x10 23 molecules or atoms). R is a constant = T is the gas temperature (in Kelvin). ρ is the density of a material (pronounced rho, in Kg/m 3 ). m is the mass of the material (in Kg). V is the volume of the material (in m 3 ). P is the pressure ( in N/m 2 =Pascals). F is the force (in N). A is the area (in m 2 ). 36. P depth is the pressure ( in N/m 2 =Pascals) at a depth y (in m). at a depth in Pressure a fluid P depth = P surface + ρ g y P surface is the pressure at the surface. ρ is the density of the fluid (in Kg/m 3 ). g is 9.8m/s 2. Fluid y is the depth below the surface. 37. F B is the buoyant force, in Newtons, felt by an object Archimedes Principle immersed in a fluid. (It is directed upwards.) (buoyant force) F B =m fluid g m fluid is the mass of the fluid that is displaced by the object g is 9.8m/s 2. Fluid 38. This equation applies to two sections, A and B, of a tube where Bernoulli s Equation a fluid is steadily flowing Fluid, fluid flow P A +½ρ(v A ) 2 +ρgh A = P B +½ρ(v B ) 2 +ρgh B P A and P B are the pressures at sections A and B. v A and v B are the speed of the flow at sections A and B. h A and h B are the heights at sections A and B. g is 9.8m/s 2 and ρ is the density of the fluid.

7 39. v is the speed of the wave (in m/s). Speed of a traveling wave f is the frequency of oscillation (in sec v = f λ = Hertz). λ is the wavelength (in m). Wave motion, sound, light 40. Coulomb s Law Electricity F = k F is the force of attraction or repulsion, in Newtons, between two charges Q 1 and Q 2. (The unit of charge is called a Coulomb.) k is a constant approximately equal to 9 x10 9. d is the distance (in m) between the charges. 41. Electric field E is the electric field AT A POINT, AT A DISTANCE d FROM A CHARGE Q. k is a constant approximately equal to 9 x10 9. Electricity E= k 42. Electric field direction Electricity E is always directed AWAY from positive charges and INTO negative ones. (see 40) 43. V is the electric potential (in Volts) at a distance d (in m) Electric potential away from a charge Q (in Coulombs). V = k k is a constant approximately equal to 9 x10 9. Electricity 44. Ohm s Law Electricity V=RI or I=V/R V is the voltage (in Volts) measured between two points in a circuit. I is the DC current flowing between those points (in Amperes or Amps). R is the resistance (in Ohms, symbol: Ω) between the two points.

8 45. Magnitude of the magnetic force on a moving charge Electricity and magnetism F= qvb sin φ F is the force felt by the charge (in N). v is the charge speed (in m/s). B is the strength of the magnetic field (in Teslas) in which the charge q (in Coulombs) finds itself to travel. φ is the angle between the vector v and the vector B. Notice: The direction of F is perpendicular to both v and B according to the so-called right hand rule. 46. Magnitude of the magnetic F is the force felt by the charge (in N). B is the strength of the magnetic field (in Teslas) in force on a segment of a wire the vicinity of the segment of wire L (in m) is located. carrying current F= BIL sin φ φ is the angle between the direction of I and the vector B. Electricity and magnetism 47. B is the magnetic field (in Teslas). Magnetic field near a straight B= I is the current (in Amps). wire carrying current μ o is a constant equal to 4π R is the distance (in m, from the wire) where the magnetic field is measured. Electricity and magnetism Notice: The direction of B is circular around the wire. 48. B is the magnetic field (in Teslas) at the Magnetic field at the center of a B= center of the loop. circular loop of wire carrying I is the current (in Amps). current μ o is a constant equal to 4π R is the RADIUS (in m) of the loop. Electricity and magnetism Notice: The direction of B is as shown in the figure.

9 49. Transformer Electricity and magnetism The index 1 refers to the primary and the index 2 refers to the secondary of the transformer. V is the voltage. I is the current. N is the number of turns. 50. Reflection at a mirror Wave propagation, acoustics, optics θ i is the incident angle made by a beam (of light or sound) relative to the normal line. θ R is the angle of reflection still relative to the normal line (see figure). θ i = θ R 51. Index of refraction n is the index of refraction of a transparent material. c is the speed of light as measured in vacuum n = (c= 3 m/s). Optics v is the speed of light inside that material (always less than c). 52. n i sin θ i = n r sin θ n r i and n r are the indexes of refraction of the Snell s Law incident and refracted materials. Optics θ i is the incident angle made by a beam relative to the normal line. θ r is the angle of refraction still relative to the normal line (see figure). 53. E is the energy of an individual photon (in Joules). Energy of a photon f is the frequency of that photon (in Hertz). E= h f h is Planck s constant whose value is Modern Physics

10 54. λ is the wavelength associated with an object (in m). Matter waves h is Planck s constant whose value is λ= h/mv. m is the mass of the object (in Kg). Modern Physics v is its speed (in m/s). Name 55. Percentage formula Formula % difference = Laboratory methods 100

Physical Quantities, Symbols and Units

Physical Quantities, Symbols and Units Table 1 below indicates the physical quantities required for numerical calculations that are included in the Access 3 Physics units and the Intermediate 1 Physics units and course together with the SI

More information

Chapter 6 Work and Energy

Chapter 6 Work and Energy Chapter 6 WORK AND ENERGY PREVIEW Work is the scalar product of the force acting on an object and the displacement through which it acts. When work is done on or by a system, the energy of that system

More information

PHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true?

PHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true? 1. Which one of the following statements concerning kinetic energy is true? A) Kinetic energy can be measured in watts. B) Kinetic energy is always equal to the potential energy. C) Kinetic energy is always

More information

Chapter 6. Work and Energy

Chapter 6. Work and Energy Chapter 6 Work and Energy The concept of forces acting on a mass (one object) is intimately related to the concept of ENERGY production or storage. A mass accelerated to a non-zero speed carries energy

More information

FORCES AND MOTION UNIT TEST. Multiple Choice: Draw a Circle Completely around the ONE BEST answer.

FORCES AND MOTION UNIT TEST. Multiple Choice: Draw a Circle Completely around the ONE BEST answer. FORCES AND MOTION UNIT TEST Multiple Choice: Draw a Circle Completely around the ONE BEST answer. 1. A force acting on an object does no work if a. a machine is used to move the object. b. the force is

More information

PHY231 Section 1, Form B March 22, 2012

PHY231 Section 1, Form B March 22, 2012 1. A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate

More information

Chapter 13, example problems: x (cm) 10.0

Chapter 13, example problems: x (cm) 10.0 Chapter 13, example problems: (13.04) Reading Fig. 13-30 (reproduced on the right): (a) Frequency f = 1/ T = 1/ (16s) = 0.0625 Hz. (since the figure shows that T/2 is 8 s.) (b) The amplitude is 10 cm.

More information

Physics 2AB Notes - 2012. Heating and Cooling. The kinetic energy of a substance defines its temperature.

Physics 2AB Notes - 2012. Heating and Cooling. The kinetic energy of a substance defines its temperature. Physics 2AB Notes - 2012 Heating and Cooling Kinetic Theory All matter is made up of tiny, minute particles. These particles are in constant motion. The kinetic energy of a substance defines its temperature.

More information

Physics 9e/Cutnell. correlated to the. College Board AP Physics 1 Course Objectives

Physics 9e/Cutnell. correlated to the. College Board AP Physics 1 Course Objectives Physics 9e/Cutnell correlated to the College Board AP Physics 1 Course Objectives Big Idea 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. Enduring

More information

Gravitational Potential Energy

Gravitational Potential Energy Gravitational Potential Energy Consider a ball falling from a height of y 0 =h to the floor at height y=0. A net force of gravity has been acting on the ball as it drops. So the total work done on the

More information

IGCSE REVISION QUESTIONS

IGCSE REVISION QUESTIONS IGCSE REVISION QUESTIONS These questions are based on the EdExcel IGCSE Physics (4420) specification. The specification is broken up into seven sections: 1.) Forces and motion 2.) Electricity 3.) Waves

More information

Practice final for Basic Physics spring 2005 answers on the last page Name: Date:

Practice final for Basic Physics spring 2005 answers on the last page Name: Date: Practice final for Basic Physics spring 2005 answers on the last page Name: Date: 1. A 12 ohm resistor and a 24 ohm resistor are connected in series in a circuit with a 6.0 volt battery. Assuming negligible

More information

7. Kinetic Energy and Work

7. Kinetic Energy and Work Kinetic Energy: 7. Kinetic Energy and Work The kinetic energy of a moving object: k = 1 2 mv 2 Kinetic energy is proportional to the square of the velocity. If the velocity of an object doubles, the kinetic

More information

BHS Freshman Physics Review. Chapter 2 Linear Motion Physics is the oldest science (astronomy) and the foundation for every other science.

BHS Freshman Physics Review. Chapter 2 Linear Motion Physics is the oldest science (astronomy) and the foundation for every other science. BHS Freshman Physics Review Chapter 2 Linear Motion Physics is the oldest science (astronomy) and the foundation for every other science. Galileo (1564-1642): 1 st true scientist and 1 st person to use

More information

The rate of change of velocity with respect to time. The average rate of change of distance/displacement with respect to time.

The rate of change of velocity with respect to time. The average rate of change of distance/displacement with respect to time. H2 PHYSICS DEFINITIONS LIST Scalar Vector Term Displacement, s Speed Velocity, v Acceleration, a Average speed/velocity Instantaneous Velocity Newton s First Law Newton s Second Law Newton s Third Law

More information

C B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N

C B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a

More information

COMPETENCY GOAL 1: The learner will develop abilities necessary to do and understand scientific inquiry.

COMPETENCY GOAL 1: The learner will develop abilities necessary to do and understand scientific inquiry. North Carolina Standard Course of Study and Grade Level Competencies, Physics I Revised 2004 139 Physics PHYSICS - Grades 9-12 Strands: The strands are: Nature of Science, Science as Inquiry, Science and

More information

Sample Questions for the AP Physics 1 Exam

Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Multiple-choice Questions Note: To simplify calculations, you may use g 5 10 m/s 2 in all problems. Directions: Each

More information

Physics 1A Lecture 10C

Physics 1A Lecture 10C Physics 1A Lecture 10C "If you neglect to recharge a battery, it dies. And if you run full speed ahead without stopping for water, you lose momentum to finish the race. --Oprah Winfrey Static Equilibrium

More information

Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel

Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel Name: Lab Day: 1. A concrete block is pulled 7.0 m across a frictionless surface by means of a rope. The tension in the rope is 40 N; and the

More information

(b) Explain how the principle of conservation of momentum is a natural consequence of Newton s laws of motion. [3]

(b) Explain how the principle of conservation of momentum is a natural consequence of Newton s laws of motion. [3] Physics A Unit: G484: The Newtonian World 1(a) State Newton s second law of motion. The resultant force on an object is proportional to the rate of change of momentum of the object In part (a) the candidate

More information

PS-6.2 Explain the factors that determine potential and kinetic energy and the transformation of one to the other.

PS-6.2 Explain the factors that determine potential and kinetic energy and the transformation of one to the other. PS-6.1 Explain how the law of conservation of energy applies to the transformation of various forms of energy (including mechanical energy, electrical energy, chemical energy, light energy, sound energy,

More information

Forces. Definition Friction Falling Objects Projectiles Newton s Laws of Motion Momentum Universal Forces Fluid Pressure Hydraulics Buoyancy

Forces. Definition Friction Falling Objects Projectiles Newton s Laws of Motion Momentum Universal Forces Fluid Pressure Hydraulics Buoyancy Forces Definition Friction Falling Objects Projectiles Newton s Laws of Motion Momentum Universal Forces Fluid Pressure Hydraulics Buoyancy Definition of Force Force = a push or pull that causes a change

More information

A2 Physics Notes OCR Unit 4: The Newtonian World

A2 Physics Notes OCR Unit 4: The Newtonian World A2 Physics Notes OCR Unit 4: The Newtonian World Momentum: - An object s linear momentum is defined as the product of its mass and its velocity. Linear momentum is a vector quantity, measured in kgms -1

More information

Force on Moving Charges in a Magnetic Field

Force on Moving Charges in a Magnetic Field [ Assignment View ] [ Eðlisfræði 2, vor 2007 27. Magnetic Field and Magnetic Forces Assignment is due at 2:00am on Wednesday, February 28, 2007 Credit for problems submitted late will decrease to 0% after

More information

Tennessee State University

Tennessee State University Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an F-grade. Other instructions will be given in the Hall. MULTIPLE CHOICE.

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Friday, June 20, 2014 1:15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Friday, June 20, 2014 1:15 to 4:15 p.m. P.S./PHYSICS The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS Friday, June 20, 2014 1:15 to 4:15 p.m., only The possession or use of any communications device

More information

Midterm Solutions. mvr = ω f (I wheel + I bullet ) = ω f 2 MR2 + mr 2 ) ω f = v R. 1 + M 2m

Midterm Solutions. mvr = ω f (I wheel + I bullet ) = ω f 2 MR2 + mr 2 ) ω f = v R. 1 + M 2m Midterm Solutions I) A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel a solid disc) of mass M, radius R, anchored at its center but free to rotate i) Which of

More information

Weight The weight of an object is defined as the gravitational force acting on the object. Unit: Newton (N)

Weight The weight of an object is defined as the gravitational force acting on the object. Unit: Newton (N) Gravitational Field A gravitational field as a region in which an object experiences a force due to gravitational attraction Gravitational Field Strength The gravitational field strength at a point in

More information

Ch 7 Kinetic Energy and Work. Question: 7 Problems: 3, 7, 11, 17, 23, 27, 35, 37, 41, 43

Ch 7 Kinetic Energy and Work. Question: 7 Problems: 3, 7, 11, 17, 23, 27, 35, 37, 41, 43 Ch 7 Kinetic Energy and Work Question: 7 Problems: 3, 7, 11, 17, 23, 27, 35, 37, 41, 43 Technical definition of energy a scalar quantity that is associated with that state of one or more objects The state

More information

Physics 201 Homework 8

Physics 201 Homework 8 Physics 201 Homework 8 Feb 27, 2013 1. A ceiling fan is turned on and a net torque of 1.8 N-m is applied to the blades. 8.2 rad/s 2 The blades have a total moment of inertia of 0.22 kg-m 2. What is the

More information

PHYS 211 FINAL FALL 2004 Form A

PHYS 211 FINAL FALL 2004 Form A 1. Two boys with masses of 40 kg and 60 kg are holding onto either end of a 10 m long massless pole which is initially at rest and floating in still water. They pull themselves along the pole toward each

More information

CHAPTER 6 WORK AND ENERGY

CHAPTER 6 WORK AND ENERGY CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS. REASONING AND SOLUTION The work done by F in moving the box through a displacement s is W = ( F cos 0 ) s= Fs. The work done by F is W = ( F cos θ). s From

More information

Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS

Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS 1 P a g e Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS The comparison of any physical quantity with its standard unit is called measurement. Physical Quantities All the quantities in terms of

More information

PHYSICS 149: Lecture 15

PHYSICS 149: Lecture 15 PHYSICS 149: Lecture 15 Chapter 6: Conservation of Energy 6.3 Kinetic Energy 6.4 Gravitational Potential Energy Lecture 15 Purdue University, Physics 149 1 ILQ 1 Mimas orbits Saturn at a distance D. Enceladus

More information

Current Staff Course Unit/ Length. Basic Outline/ Structure. Unit Objectives/ Big Ideas. Properties of Waves A simple wave has a PH: Sound and Light

Current Staff Course Unit/ Length. Basic Outline/ Structure. Unit Objectives/ Big Ideas. Properties of Waves A simple wave has a PH: Sound and Light Current Staff Course Unit/ Length August August September September October Unit Objectives/ Big Ideas Basic Outline/ Structure PS4- Types of Waves Because light can travel through space, it cannot be

More information

State Newton's second law of motion for a particle, defining carefully each term used.

State Newton's second law of motion for a particle, defining carefully each term used. 5 Question 1. [Marks 20] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding

More information

5.2 Rotational Kinematics, Moment of Inertia

5.2 Rotational Kinematics, Moment of Inertia 5 ANGULAR MOTION 5.2 Rotational Kinematics, Moment of Inertia Name: 5.2 Rotational Kinematics, Moment of Inertia 5.2.1 Rotational Kinematics In (translational) kinematics, we started out with the position

More information

1 of 10 11/23/2009 6:37 PM

1 of 10 11/23/2009 6:37 PM hapter 14 Homework Due: 9:00am on Thursday November 19 2009 Note: To understand how points are awarded read your instructor's Grading Policy. [Return to Standard Assignment View] Good Vibes: Introduction

More information

Online Courses for High School Students 1-888-972-6237

Online Courses for High School Students 1-888-972-6237 Online Courses for High School Students 1-888-972-6237 PHYSICS Course Description: This course provides a comprehensive survey of all key areas: physical systems, measurement, kinematics, dynamics, momentum,

More information

PHY121 #8 Midterm I 3.06.2013

PHY121 #8 Midterm I 3.06.2013 PHY11 #8 Midterm I 3.06.013 AP Physics- Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension

More information

Ch 6 Forces. Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79

Ch 6 Forces. Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79 Ch 6 Forces Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79 Friction When is friction present in ordinary life? - car brakes - driving around a turn - walking - rubbing your hands together

More information

Lecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is

Lecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is Lecture 17 Rotational Dynamics Rotational Kinetic Energy Stress and Strain and Springs Cutnell+Johnson: 9.4-9.6, 10.1-10.2 Rotational Dynamics (some more) Last time we saw that the rotational analog of

More information

Physics 200A FINALS Shankar 180mins December 13, 2005 Formulas and figures at the end. Do problems in 4 books as indicated

Physics 200A FINALS Shankar 180mins December 13, 2005 Formulas and figures at the end. Do problems in 4 books as indicated 1 Physics 200A FINALS Shankar 180mins December 13, 2005 Formulas and figures at the end. Do problems in 4 books as indicated I. Book I A camper is trying to boil water. The 55 g aluminum pan has specific

More information

Chapter 13. Gravitation

Chapter 13. Gravitation Chapter 13 Gravitation 13.2 Newton s Law of Gravitation In vector notation: Here m 1 and m 2 are the masses of the particles, r is the distance between them, and G is the gravitational constant. G = 6.67

More information

Physics 41 HW Set 1 Chapter 15

Physics 41 HW Set 1 Chapter 15 Physics 4 HW Set Chapter 5 Serway 8 th OC:, 4, 7 CQ: 4, 8 P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59, 67, 74 OC CQ P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59,

More information

Chapter 24 Physical Pendulum

Chapter 24 Physical Pendulum Chapter 4 Physical Pendulum 4.1 Introduction... 1 4.1.1 Simple Pendulum: Torque Approach... 1 4. Physical Pendulum... 4.3 Worked Examples... 4 Example 4.1 Oscillating Rod... 4 Example 4.3 Torsional Oscillator...

More information

1) 0.33 m/s 2. 2) 2 m/s 2. 3) 6 m/s 2. 4) 18 m/s 2 1) 120 J 2) 40 J 3) 30 J 4) 12 J. 1) unchanged. 2) halved. 3) doubled.

1) 0.33 m/s 2. 2) 2 m/s 2. 3) 6 m/s 2. 4) 18 m/s 2 1) 120 J 2) 40 J 3) 30 J 4) 12 J. 1) unchanged. 2) halved. 3) doubled. Base your answers to questions 1 through 5 on the diagram below which represents a 3.0-kilogram mass being moved at a constant speed by a force of 6.0 Newtons. 4. If the surface were frictionless, the

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Tuesday, June 22, 2010 9:15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Tuesday, June 22, 2010 9:15 a.m. to 12:15 p.m. PS/PHYSICS The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS Tuesday, June 22, 2010 9:15 a.m. to 12:15 p.m., only The answers to all questions in this examination

More information

WORK DONE BY A CONSTANT FORCE

WORK DONE BY A CONSTANT FORCE WORK DONE BY A CONSTANT FORCE The definition of work, W, when a constant force (F) is in the direction of displacement (d) is W = Fd SI unit is the Newton-meter (Nm) = Joule, J If you exert a force of

More information

Physics 172H. Lecture 6 Ball-Spring Model of Solids, Friction. Read

Physics 172H. Lecture 6 Ball-Spring Model of Solids, Friction. Read Physics 172H Lecture 6 Ball-Spring Model of Solids, Friction Read 4.1-4.8 Model of solid: chemical bonds d radial force (N) 0 F linear If atoms don t move too far away from equilibrium, force looks like

More information

Exam 2 Solutions. PHY2054 Spring Prof. P. Kumar Prof. P. Avery March 5, 2008

Exam 2 Solutions. PHY2054 Spring Prof. P. Kumar Prof. P. Avery March 5, 2008 Prof. P. Kumar Prof. P. Avery March 5, 008 Exam Solutions 1. Two cylindrical resistors are made of the same material and have the same resistance. The resistors, R 1 and R, have different radii, r 1 and

More information

Homework 4. problems: 5.61, 5.67, 6.63, 13.21

Homework 4. problems: 5.61, 5.67, 6.63, 13.21 Homework 4 problems: 5.6, 5.67, 6.6,. Problem 5.6 An object of mass M is held in place by an applied force F. and a pulley system as shown in the figure. he pulleys are massless and frictionless. Find

More information

Physics Notes Class 11 CHAPTER 6 WORK, ENERGY AND POWER

Physics Notes Class 11 CHAPTER 6 WORK, ENERGY AND POWER 1 P a g e Work Physics Notes Class 11 CHAPTER 6 WORK, ENERGY AND POWER When a force acts on an object and the object actually moves in the direction of force, then the work is said to be done by the force.

More information

Mechanics 2. Revision Notes

Mechanics 2. Revision Notes Mechanics 2 Revision Notes November 2012 Contents 1 Kinematics 3 Constant acceleration in a vertical plane... 3 Variable acceleration... 5 Using vectors... 6 2 Centres of mass 8 Centre of mass of n particles...

More information

Physics Midterm Review Packet January 2010

Physics Midterm Review Packet January 2010 Physics Midterm Review Packet January 2010 This Packet is a Study Guide, not a replacement for studying from your notes, tests, quizzes, and textbook. Midterm Date: Thursday, January 28 th 8:15-10:15 Room:

More information

DIPLOMA IN ENGINEERING I YEAR I SEMESTER ENGINEERING PHYSICS - I

DIPLOMA IN ENGINEERING I YEAR I SEMESTER ENGINEERING PHYSICS - I GOVERNMENT OF TAMILNADU DIRECTORATE OF TECHNICAL EDUCATION DIPLOMA IN ENGINEERING I YEAR SEMESTER SYSTEM L - SCHEME 2011-2012 I SEMESTER ENGINEERING PHYSICS - I CURRICULUM DEVELOPMENT CENTER STATE BOARD

More information

IMPORTANT NOTE ABOUT WEBASSIGN:

IMPORTANT NOTE ABOUT WEBASSIGN: Week 8 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Wednesday, June 17, 2015 1:15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS. Wednesday, June 17, 2015 1:15 to 4:15 p.m. P.S./PHYSICS The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION PHYSICAL SETTING PHYSICS Wednesday, June 17, 2015 1:15 to 4:15 p.m., only The possession or use of any communications

More information

Basic Concepts of Thermodynamics

Basic Concepts of Thermodynamics Basic Concepts of Thermodynamics Every science has its own unique vocabulary associated with it. recise definition of basic concepts forms a sound foundation for development of a science and prevents possible

More information

VIII. Magnetic Fields - Worked Examples

VIII. Magnetic Fields - Worked Examples MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.0 Spring 003 VIII. Magnetic Fields - Worked Examples Example : Rolling rod A rod with a mass m and a radius R is mounted on two parallel rails

More information

Physical Quantities and Units

Physical Quantities and Units Physical Quantities and Units 1 Revision Objectives This chapter will explain the SI system of units used for measuring physical quantities and will distinguish between vector and scalar quantities. You

More information

charge is detonated, causing the smaller glider with mass M, to move off to the right at 5 m/s. What is the

charge is detonated, causing the smaller glider with mass M, to move off to the right at 5 m/s. What is the This test covers momentum, impulse, conservation of momentum, elastic collisions, inelastic collisions, perfectly inelastic collisions, 2-D collisions, and center-of-mass, with some problems requiring

More information

PHYSICAL QUANTITIES AND UNITS

PHYSICAL QUANTITIES AND UNITS 1 PHYSICAL QUANTITIES AND UNITS Introduction Physics is the study of matter, its motion and the interaction between matter. Physics involves analysis of physical quantities, the interaction between them

More information

Lecture 07: Work and Kinetic Energy. Physics 2210 Fall Semester 2014

Lecture 07: Work and Kinetic Energy. Physics 2210 Fall Semester 2014 Lecture 07: Work and Kinetic Energy Physics 2210 Fall Semester 2014 Announcements Schedule next few weeks: 9/08 Unit 3 9/10 Unit 4 9/15 Unit 5 (guest lecturer) 9/17 Unit 6 (guest lecturer) 9/22 Unit 7,

More information

There are three different properties associated with the mass of an object:

There are three different properties associated with the mass of an object: Mechanics Notes II Forces, Inertia and Motion The mathematics of calculus, which enables us to work with instantaneous rates of change, provides a language to describe motion. Our perception of force is

More information

Work, Energy and Power Practice Test 1

Work, Energy and Power Practice Test 1 Name: ate: 1. How much work is required to lift a 2-kilogram mass to a height of 10 meters?. 5 joules. 20 joules. 100 joules. 200 joules 5. ar and car of equal mass travel up a hill. ar moves up the hill

More information

Solution: (a) For a positively charged particle, the direction of the force is that predicted by the right hand rule. These are:

Solution: (a) For a positively charged particle, the direction of the force is that predicted by the right hand rule. These are: Problem 1. (a) Find the direction of the force on a proton (a positively charged particle) moving through the magnetic fields as shown in the figure. (b) Repeat part (a), assuming the moving particle is

More information

Physics 9 Fall 2009 Homework 2 - Solutions

Physics 9 Fall 2009 Homework 2 - Solutions Physics 9 Fall 009 Homework - s 1. Chapter 7 - Exercise 5. An electric dipole is formed from ±1.0 nc charges spread.0 mm apart. The dipole is at the origin, oriented along the y axis. What is the electric

More information

= Ps cos 0 = (150 N)(7.0 m) = J F N. s cos 180 = µ k

= Ps cos 0 = (150 N)(7.0 m) = J F N. s cos 180 = µ k Week 5 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions o these problems, various details have been changed, so that the answers will come out dierently. The method to ind the solution

More information

9. The kinetic energy of the moving object is (1) 5 J (3) 15 J (2) 10 J (4) 50 J

9. The kinetic energy of the moving object is (1) 5 J (3) 15 J (2) 10 J (4) 50 J 1. If the kinetic energy of an object is 16 joules when its speed is 4.0 meters per second, then the mass of the objects is (1) 0.5 kg (3) 8.0 kg (2) 2.0 kg (4) 19.6 kg Base your answers to questions 9

More information

SAT Subject Physics Formula Reference

SAT Subject Physics Formula Reference This guide is a compilation of about fifty of the most important physicsformulastoknow for the SAT Subject test in physics. (Note that formulas are not given on the test.) Each formula row contains a description

More information

Answer the following questions by marking the BEST answer choice on the answer sheet

Answer the following questions by marking the BEST answer choice on the answer sheet Answer the following questions by marking the BEST answer choice on the answer sheet 1. What is the average speed of a car that travels a total distance of 320 meters in 2.6 minutes? a. 2.1 m/s b. 120

More information

b. Velocity tells you both speed and direction of an object s movement. Velocity is the change in position divided by the change in time.

b. Velocity tells you both speed and direction of an object s movement. Velocity is the change in position divided by the change in time. I. What is Motion? a. Motion - is when an object changes place or position. To properly describe motion, you need to use the following: 1. Start and end position? 2. Movement relative to what? 3. How far

More information

circular motion & gravitation physics 111N

circular motion & gravitation physics 111N circular motion & gravitation physics 111N uniform circular motion an object moving around a circle at a constant rate must have an acceleration always perpendicular to the velocity (else the speed would

More information

Physics Notes Class 11 CHAPTER 5 LAWS OF MOTION

Physics Notes Class 11 CHAPTER 5 LAWS OF MOTION 1 P a g e Inertia Physics Notes Class 11 CHAPTER 5 LAWS OF MOTION The property of an object by virtue of which it cannot change its state of rest or of uniform motion along a straight line its own, is

More information

CH-205: Fluid Dynamics

CH-205: Fluid Dynamics CH-05: Fluid Dynamics nd Year, B.Tech. & Integrated Dual Degree (Chemical Engineering) Solutions of Mid Semester Examination Data Given: Density of water, ρ = 1000 kg/m 3, gravitational acceleration, g

More information

8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential

8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential 8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential energy, e.g. a ball in your hand has more potential energy

More information

NEWTON S LAWS OF MOTION

NEWTON S LAWS OF MOTION NEWTON S LAWS OF MOTION Background: Aristotle believed that the natural state of motion for objects on the earth was one of rest. In other words, objects needed a force to be kept in motion. Galileo studied

More information

Rotational inertia (moment of inertia)

Rotational inertia (moment of inertia) Rotational inertia (moment of inertia) Define rotational inertia (moment of inertia) to be I = Σ m i r i 2 or r i : the perpendicular distance between m i and the given rotation axis m 1 m 2 x 1 x 2 Moment

More information

Newton s Laws of Motion

Newton s Laws of Motion Section 3.2 Newton s Laws of Motion Objectives Analyze relationships between forces and motion Calculate the effects of forces on objects Identify force pairs between objects New Vocabulary Newton s first

More information

A1. An object of mass m is projected vertically from the surface of a planet of radius R p and mass M p with an initial speed v i.

A1. An object of mass m is projected vertically from the surface of a planet of radius R p and mass M p with an initial speed v i. OBAFMI AWOLOWO UNIVRSITY, IL-IF, IF, NIGRIA. FACULTY OF SCINC DPARTMNT OF PHYSICS B.Sc. (Physics) Degree xamination PHY GNRAL PHYSICS I TUTORIAL QUSTIONS IN GRAVITATION, FLUIDS AND OSCILLATIONS SCTION

More information

Physics 11 Assignment KEY Dynamics Chapters 4 & 5

Physics 11 Assignment KEY Dynamics Chapters 4 & 5 Physics Assignment KEY Dynamics Chapters 4 & 5 ote: for all dynamics problem-solving questions, draw appropriate free body diagrams and use the aforementioned problem-solving method.. Define the following

More information

Temperature Scales. temperature scales Celsius Fahrenheit Kelvin

Temperature Scales. temperature scales Celsius Fahrenheit Kelvin Ch. 10-11 Concept Ch. 10 #1, 3, 7, 8, 9, 11 Ch11, # 3, 6, 11 Problems Ch10 # 3, 5, 11, 17, 21, 24, 25, 29, 33, 37, 39, 43, 47, 59 Problems: CH 11 # 1, 2, 3a, 4, 5, 6, 9, 13, 15, 22, 25, 27, 28, 35 Temperature

More information

The content is based on the National Science Teachers Association (NSTA) standards and is aligned with state standards.

The content is based on the National Science Teachers Association (NSTA) standards and is aligned with state standards. Literacy Advantage Physical Science Physical Science Literacy Advantage offers a tightly focused curriculum designed to address fundamental concepts such as the nature and structure of matter, the characteristics

More information

Chapter 22 Magnetism

Chapter 22 Magnetism 22.6 Electric Current, Magnetic Fields, and Ampere s Law Chapter 22 Magnetism 22.1 The Magnetic Field 22.2 The Magnetic Force on Moving Charges 22.3 The Motion of Charged particles in a Magnetic Field

More information

Chapter 4 Newton s Laws: Explaining Motion

Chapter 4 Newton s Laws: Explaining Motion Chapter 4 Newton s s Laws: Explaining Motion Newton s Laws of Motion The concepts of force, mass, and weight play critical roles. A Brief History! Where do our ideas and theories about motion come from?!

More information

XX. Introductory Physics, High School

XX. Introductory Physics, High School XX. Introductory Physics, High School High School Introductory Physics Test The spring 2014 high school Introductory Physics test was based on learning standards in the Introductory Physics content strand

More information

Name Period Chapter 10 Study Guide

Name Period Chapter 10 Study Guide Name _ Period Chapter 10 Study Guide Modified True/False Indicate whether the statement is true or false. 1. Unbalanced forces do not change an object s motion. 2. Friction depends on the types of surfaces

More information

Solution Derivations for Capa #11

Solution Derivations for Capa #11 Solution Derivations for Capa #11 1) A horizontal circular platform (M = 128.1 kg, r = 3.11 m) rotates about a frictionless vertical axle. A student (m = 68.3 kg) walks slowly from the rim of the platform

More information

PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. PHYS 101-4M, Fall 2005 Exam #3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A bicycle wheel rotates uniformly through 2.0 revolutions in

More information

Salem Community College Course Syllabus. Course Title: Physics I. Course Code: PHY 101. Lecture Hours: 2 Laboratory Hours: 4 Credits: 4

Salem Community College Course Syllabus. Course Title: Physics I. Course Code: PHY 101. Lecture Hours: 2 Laboratory Hours: 4 Credits: 4 Salem Community College Course Syllabus Course Title: Physics I Course Code: PHY 101 Lecture Hours: 2 Laboratory Hours: 4 Credits: 4 Course Description: The basic principles of classical physics are explored

More information

Physical Science Chapter 2. Forces

Physical Science Chapter 2. Forces Physical Science Chapter 2 Forces The Nature of Force By definition, a Force is a push or a pull. A Push Or A Pull Just like Velocity & Acceleration Forces have both magnitude and direction components

More information

3 Work, Power and Energy

3 Work, Power and Energy 3 Work, Power and Energy At the end of this section you should be able to: a. describe potential energy as energy due to position and derive potential energy as mgh b. describe kinetic energy as energy

More information

Physics 126 Practice Exam #3 Professor Siegel

Physics 126 Practice Exam #3 Professor Siegel Physics 126 Practice Exam #3 Professor Siegel Name: Lab Day: 1. Which one of the following statements concerning the magnetic force on a charged particle in a magnetic field is true? A) The magnetic force

More information

Lecture 36 (Walker 18.8,18.5-6,)

Lecture 36 (Walker 18.8,18.5-6,) Lecture 36 (Walker 18.8,18.5-6,) Entropy 2 nd Law of Thermodynamics Dec. 11, 2009 Help Session: Today, 3:10-4:00, TH230 Review Session: Monday, 3:10-4:00, TH230 Solutions to practice Lecture 36 final on

More information

physics 111N work & energy

physics 111N work & energy physics 111N work & energy conservation of energy entirely gravitational potential energy kinetic energy turning into gravitational potential energy gravitational potential energy turning into kinetic

More information

KE =? v o. Page 1 of 12

KE =? v o. Page 1 of 12 Page 1 of 12 CTEnergy-1. A mass m is at the end of light (massless) rod of length R, the other end of which has a frictionless pivot so the rod can swing in a vertical plane. The rod is initially horizontal

More information

Chapter 5 Newton s Laws of Motion

Chapter 5 Newton s Laws of Motion Chapter 5 Newton s Laws of Motion Force and Mass Units of Chapter 5 Newton s First Law of Motion Newton s Second Law of Motion Newton s Third Law of Motion The Vector Nature of Forces: Forces in Two Dimensions

More information

Physics 9 Fall 2009 Homework 7 - Solutions

Physics 9 Fall 2009 Homework 7 - Solutions Physics 9 Fall 009 Homework 7 - s 1. Chapter 33 - Exercise 10. At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your answer

More information