SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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1 Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) The graph in the figure shows the x component of the acceleration of a 2.4-kg object as a function of time (in ms). 1) (a) At what time(s) does the x component of the net force on the object reach its maximum magnitude, and what is that maximum magnitude? (b) What is the x component of the net force on the object at time t = 0.0 ms and at t = 4.0 ms? 2) The figure shows a graph of the acceleration of a 125-g object as a function of the net force acting on it. What is the acceleration at points A and B? 2) 1

2 3) The graph in the figure shows the net force acting on a 3.0-kg object as a function of time. 3) (a) What is the acceleration of this object at time t = 2.0 s? (b) Draw, to scale, a graph of the acceleration of this object as a function of time over the range t = 0.00 s to t = 7.0 s. 4) A construction worker pulls a box of tools on a smooth horizontal floor with a force of 100 N in a direction of 37.0 above the horizontal. The mass of the box and the tools is 40.0 kg. (a) Draw a free-body diagram for the box. (b) Calculate the acceleration of the box. (c) How hard does the floor push up on the box? 4) 5) A box of mass 50 kg is at rest on a horizontal frictionless surface. A constant horizontal force F then acts on the box and accelerates it to the right. It is observed that it takes the box 6.9 seconds to travel 28 meters. What is the magnitude of the force? 5) 6) A block lies on a horizontal frictionless surface. A horizontal force of 100 N is applied to the block giving rise to an acceleration of 3.0 m/s2. (a) Determine the mass of the block. (b) Calculate the distance the block will travel if the force is applied for 10 s. (c) Calculate the speed of the block after the force has been applied for 10 s. 6) 7) A 50.0-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is and the coefficient of kinetic friction is What is the friction force on the box if (a) a horizontal 140-N push is applied to it? (b) a horizontal 175-N push is applied to it? 7) 2

3 8) A 20.0-N box rests on a 50.0-N box on a perfectly smooth horizontal floor. When a horizontal 15.0-N pull to the right is exerted on the lower box (see figure), both boxes move together. Find the magnitude and direction of the net external force on the upper box. 8) 9) Two objects are connected by a very light flexible string as shown in the figure, where M = 0.60 kg and m = 0.40 kg. You can ignore friction and the mass of the pulley. 9) (a) Draw free-body diagrams for each object. (b) Calculate the magnitude of the acceleration of each object. (c) Calculate the tension in the string. 3

4 10) Two boxes are connected by a weightless cord running over a very light frictionless pulley as shown in the figure. Box A, of mass 8.0 kg, is initially at rest on the top of the table. The coefficient of kinetic friction between box A and the table is Box B has a mass of 15.0 kg, and the system begins to move just after it is released. 10) (a) Draw the free-body diagrams for each of the boxes, identifying all of the forces acting on each one. (b) Calculate the acceleration of each box. (c) What is the tension in the cord? 11) A person on a sled coasts down a hill and then goes over a slight rise with speed 2.7 m/s. The top of this rise can be modeled as a circle of radius 4.1 m. The sled and occupant have a combined mass of 110 kg. If the coefficient of kinetic friction between the snow and the sled is 0.10, what friction force is exerted on the sled by the snow as the sled goes over the top of the rise? 11) 12) A 600-kg car traveling at 24.5 m/s is going around a curve having a radius of 120 m that is banked at an angle of 20. (a) Is the curve properly banked for the car's speed? (b) What is the minimum coefficient of static friction required between the road and the car's tires so the car does not skid? 12) 13) A block is given a very brief push up a 20.0 frictionless incline to give it an initial speed of 12.0 m/s. (a) How far along the surface of the plane does the block slide before coming to rest? (b) How much time does it take to return to its starting position? 13) 14) Three boxes in contact rest side-by-side on a smooth, horizontal floor. Their masses are 5.0-kg, 3.0-kg, and 2.0-kg, with the 3.0-kg box in the center. A force of 50 N pushes on the 5.0-kg box, which pushes against the other two boxes. (a) Draw the free-body diagrams for each of the boxes. (b) What magnitude force does the 3.0-kg box exert on the 5.0-kg box? (c) What magnitude force does the 3.0-kg box exert on the 2.0-kg box? 14) 15) A Ferris wheel has diameter of 10 m and makes one revolution in 8.0 seconds. A person weighing 670 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (that is, the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion? 15) 4

5 16) A 1520-N crate is to be held in place on a ramp that rises at 30.0 above the horizontal (see figure). The massless rope attached to the crate makes a 22.0 angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are µk = and µs = The pulley has no appreciable mass or friction. What is the MAXIMUM weight w that can be used to hold this crate stationary on the ramp? 16) 17) A locomotive is pulling 19 freight cars, each of which is loaded with the same amount of weight. The mass of each freight car (with its load) is 37,000 kg. If the train is accelerating at 0.22 m/s 2 on a level track, what is the tension in the coupling between the second and third cars? (The car nearest the locomotive is counted as the first car, and friction is negligible.) 17) 18) In a ballistics test, a 1.50-g bullet is fired through a 28.0-kg block traveling horizontally toward the bullet. In this test, the bullet takes 11.4 ms to pass through the block as it reverses the block's velocity from 1.75 m/s to the right to 1.20 m/s to the left with constant acceleration. Find the magnitude of the force that the bullet exerts on the block during this ballistics test. 18) 19) A pickup truck is moving at 25 m/s with a toolbox of mass m resting on the bed of the truck 2.5 m behind the cab. Suddenly the brakes are applied, causing the toolbox to slide, and the truck comes to a stop in 4.7 s. The coefficient of kinetic friction between the toolbox and the bed of the truck is After the brakes are applied, how much time elapses before the toolbox strikes the cab? 19) 5

6 20) Two blocks are connected by a string that goes over an ideal pulley as shown in the figure and pulls on block A parallel to the surface of the plane. Block A has a mass of 3.00 kg and can slide along a rough plane inclined 30.0 to the horizontal. The coefficient of static friction between block A and the plane is What mass should block B have in order to start block A sliding up the plane? 20) 6

7 Answer Key Testname: TEST2REVIEW 1) (a) At 3.0 ms, 48 N (b) 12 N, -24 N 2) A: 16 m/s2, B: 4.0 m/s2 3) (a) 2.0 m/s2 (b) The acceleration-time graph looks the same as the force-time graph except on the vertical axis the numbers (starting at 2.0) are replaced by 0.67, 1.3, 2.0, 2.7, 3.3, and ) (a) The box is acted on by the force of gravity which points downward toward the center of the earth. The normal force is directed toward the box perpendicular to the surface of the floor. The pulling force is directed away from the box at an angle 37.0 degrees above the horizontal. (b) 2.00 m/s2 (c) 332 N 5) 59 N 6) (a) 33 kg (b) 150 m (c) 30 m/s 7) (a) 140 N (b) 98.0 N 8) 4.29 N to the right 9) (a) The force of gravity acts downward and tension acts upward on each object. (b) 2.0 m/s2 (c) 4.7 N 10) (a) Box A is acted on by the downward force of gravity, the upward normal force due to the table top, the tension in the string toward the right, and the force of friction due to the table top toward the left. Box B is acted on by the downward force of gravity and the upward tension of the string. (b) 6.1 m/s2 (c) 56 N 11) 88 N 12) (a) No (b) ) (a) 21.5 m (b) 7.16 s 14) (a) The following forces act on the 5.0-kg box: the force due to gravity, normal force, contact force between 5.0-kg mass and 3.0-kg mass, the force of 50 N pushing on the box. The following forces act on the 3.0-kg box: the force due to gravity, normal force, contact force between the 5.0-kg box and the 3.0-kg box, the contact force between the 3.0-kg box and the 2.0-kg box. The following forces act on the 2.0-kg box: the force due to gravity, normal force, contact force between the 3.0-kg box and the 2.0-kg box. (b) 25 N (c) 10 N 15) 460 N 16) 1380 N 17) 140,000 N 18) N 19) 1.4 s 20) 2.54 kg 7

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