Two identical carts on a horizontal

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two identical carts on a horizontal, nearly frictionless track collide and stick together. Cart P moves to the right at 2 m/s2\,\text{m/s} just before impact, while cart Q is at rest. Which of the following best describes the kinetic energy of the two-cart system immediately after the collision compared with the kinetic energy immediately before the collision? (a) It is the same because kinetic energy is conserved in any collision on a frictionless surface. (b) It is one-half as large because some kinetic energy is transformed into other forms during the collision. (c) It is greater by a factor of two because the total mass doubles while the speed remains the same. (d) It is one-fourth as large because the speed of the carts is halved during the collision.

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