Multiple Choice Identify the choice that best completes the statement or answers the question.
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1 Physics Prerequisite Problems for Engineering Bridge Camosun College Instructor: Dr. Julie Alexander The material covered in this test is from any first year calculus based physics course. You should be able to do these problems before starting Physics 210 or 295. You should review Chapters 1-5 University Physics by Young and Freedman if this material looks foreign to you. Answers are on the last page and full solutions are on my website Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The density of an object is defined as: a. the volume occupied by each unit of mass. b. the amount of mass for each unit of volume. c. the weight of each unit of volume. d. the amount of the substance that has unit volume and unit mass. e. the amount of the substance that contains as many particles as 12 grams of the carbon-12 isotope. 2. The term occurs in Bernoulli's equation in Chapter 15, with being the density of a fluid and its speed. The dimensions of this term are a. M 1 L 5 T 2 b. MLT 2 c. ML 1 T 2 d. M 1 L 9 T 2 e. M 1 L 3 T 2 3. The equation for the change of position of a train starting at x = 0 m is given by. The dimensions of b are a. T 3 b. LT 3 c. LT 2 d. LT 1 e. L 1 T 1 4. Which quantity can be converted from the English system to the metric system by the conversion factor? a. feet per second b. feet per hour c. miles per second d. miles per hour e. miles per minute
2 5. The position of a particle moving along the x axis is given by x = 6.0t 2 1.0t 3, where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? a. 24 m b. 12 m c. 32 m d. 16 m e. 2.0 m 6. The velocity of a particle moving along the x axis is given for t > 0 by v x = (32.0t 2.00t 3 ) m/s, where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in the positive x direction? a m/s 2 b. zero c. 128 m/s 2 d m/s 2 e m/s 2 7. The position of a particle as it moves along the x axis is given by x = 15e 2t m, where t is in s. What is the acceleration of the particle at t = 1 s? a. 22 m/s b. 60 m/s c. 8.1 m/s d. 15 m/s e. 35 m/s 8. A particle starts from rest at x i = 0 and moves for 10 s with an acceleration of +2.0 cm/s 2. For the next 20 s, the acceleration of the particle is 1.0 cm/s 2. What is the position of the particle at the end of this motion? a. zero b m c. 1.0 m d m e. 3.0 m 9. A stone is thrown from the top of a building with an initial velocity of 20 m/s downward. The top of the building is 60 m above the ground. How much time elapses between the instant of release and the instant of impact with the ground? a. 2.0 s b. 6.1 s c. 3.5 s d. 1.6 s e. 1.0 s 10. A particle moving along the x-axis has a position given by x = 54t 2.0t 3 m. At the time t = 3.0 s, the speed of the particle is zero. Which statement is correct? a. The particle remains at rest after t = 3.0 s. b. The particle no longer accelerates after t = 3.0 s. c. The particle can be found at positions x < 0 m only when t < 0 s. d. All of the above are correct. e. None of the above is correct.
3 11. The position of an object at equal time intervals is shown below: Which graph below correctly represents position versus time for this object? a. c. e. b. d. 12. The graph below shows the velocity versus time graph for a ball. Which explanation best fits the motion of the ball as shown by the graph? a. The ball is falling, is caught, and is thrown down with greater velocity. b. The ball is rolling, stops, and then continues rolling. c. The ball is rising, hits the ceiling, and falls down. d. The ball is falling, hits the floor, and bounces up. e. The ball is rising, is caught, and then is thrown down. Instructions: On occasion, the notation = [A, will be a shorthand notation for. 13. If = [15, 80 ] and, what is the magnitude of? a. 15 b. 35 c. 32 d. 5.0 e If and, what is the direction of the vector? a. 49 b. 41 c. 90 d. +49 e. +21
4 15. A vector,, when added to the vector yields a resultant vector which is in the positive y direction and has a magnitude equal to that of. What is the magnitude of? a. 3.2 b. 6.3 c. 9.5 d. 18 e The three forces shown act on a particle. What is the magnitude of the resultant of these three forces? a N b N c N d N e. 105 N 17. A rock is projected from the edge of the top of a building with an initial velocity of 12.2 m/s at an angle of 53 above the horizontal. The rock strikes the ground a horizontal distance of 25 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How tall is the building? a m b m c m d m e m 18. If M = 6.0 kg, what is the tension in string 1? a. 39 N b. 34 N c. 29 N d. 44 N e. 51 N
5 19. You have a machine which can accelerate pucks on frictionless ice. Starting from rest, the puck travels a distance x in time t when force F is applied. If force 3F is applied, the distance the puck travels in time t is a. x. b. (3/2)x. c. 3x. d. (9/2)x. e. 9x. 20. A 2.0-kg block sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the block has a speed of 4.0 m/s as it passes through the equilibrium position, what is its speed when it is 20 cm from the equilibrium position? a. 2.6 m/s b. 3.1 m/s c. 3.5 m/s d. 1.9 m/s e. 2.3 m/s 21. A 2.0-kg block slides down a fixed, rough curved track. The block has a speed of 5.0 m/s after its height above a horizontal surface has decreased by 1.8 m. Assume the block starts from rest. How much work is done on the block by the force of friction during this descent? a. 14 J b. 12 J c. 10 J d. 16 J e. 25 J 22. The block shown is released from rest when the spring is stretched a distance d. If k = 50 N/m, m = 0.50 kg, d = 10 cm, and the coefficient of kinetic friction between the block and the horizontal surface is equal to 0.25, determine the speed of the block when it first passes through the position for which the spring is unstretched. a. 92 cm/s b. 61 cm/s c. 71 cm/s d. 82 cm/s e. 53 cm/s 23. A small lead sphere of mass m is hung from a spring of spring constant k. The gravitational potential energy of the system equals zero at the equilibrium position of the spring before the weight is attached. The total mechanical energy of the system when the mass is hanging at rest is a. kx 2. b. kx 2. c. 0. d. + kx 2. e. +kx 2.
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