MT2-1 A crane is raising a car with a mass m at a constant speed. As the car moves a height H, how much work is done by the crane on the car? a) +mgH b) -mgH c) No work is done on the car by the crane. MT2-2 A crane is raising a car with a mass m at a constant speed. As the car moves a height H, what is the total work done on the car? a) +mgH b) -mgH c) No total work is done on the car. MT2-3 Block 1 and Block 2 with masses m1 and m2, respectively, are connected by an inextensible massless string, which goes over a frictionless massless pulley as shown. As Block 2 falls a height of h, what is the change in gravitational potential energy of the blocks-Earth system? a) b) c) d) e) -(m1 + m2)gh -m1gh -m2gh (m1 - m2)gh (m2 - m1)gh MT2-4 A block is initially moving on a frictionless surface with a velocity v0 to the right. Then at x = 0, it encounters a relaxed spring, and a rough surface as shown. The block compresses the spring a maximum distance when it momentarily stops. Compare the absolute values of the change in kinetic energy of the block, |ΔKE|, to the change in elastic potential energy of the spring, |ΔPEs|. a) b) c) |ΔKE| = |ΔPEs| |ΔKE| > |ΔPEs| |ΔKE| < |ΔPEs| MT2-5 A block sliding on a horizontal surface with initial speed v0 enters and leaves a rough region. Its mechanical energy changes by ΔE on the rough region. If the same block enters the rough region with a speed 2v0 and leaves the rough region following the same path, what is the mechanical energy change in this case? a) b) c) ΔE 2ΔE ½ΔE MT2-6 A ball with a mass m is initially moving with a speed v. Upon hitting a wall, it reverses the direction and moves at the same speed v. What is the magnitude of the impulse imparted by the wall on the ball? a) b) c) mv 2mv 0 MT2-7 A block of mass m1 moving with a speed v collides elastically with another block of mass m2 (m2 > m1) initially at rest. Compare the kinetic energy of m2 after the collision, KE2f, to the kinetic energy of m1 before the collision, KE1i. a) b) c) KE2f = KE1i KE2f < KE1i KE2f > KE1i MT2-8 Block 1 is moving in the positive x-direction toward initially stationary Block 2 and collides elastically. If both blocks move the the positive x-direction after the collision, compare the speeds of Block 1 and Block 2. a) b) c) Block 1 is faster. Block 2 is faster. Block 1 and Block 2 move at the same speed. MT2-9 A ladder with a weight W and length L is leaning against a frictionless wall on a rough surface, making an angle θ from the horizontal. What is the torque that the weight of the ladder exert on the ladder about the bottom of the ladder? a) WL cosθ 2 WL sin θ b) 2 c) WL sin θ d) WL cosθ
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