Two carts on a frictionless track are traveling directly toward each other. The first cart has mass m, and speed v,, the second cart has mass m, = (½)m, and speed v, = 2v,. If they collide head-on and stick together, what can you say about the total momentum and total kinetic energy of the two-cart system? Ignore friction and air resistance. ("final" refers to after the collision and "initial" refers to before the collision.) O The final momentum equals the initial momentum and the final kinetic energy equals the initial kinetic energy. O The final momentum is zero and the final kinetic energy is zero. O The final momentum is zero and the final kinetic energy equals half the initial kinetic energy O The final momentum equals half the initial momentum and the final kinetic energy equals half the initial kinetic energy. O The final momentum is zero and the final kinetic energy equals the initial kinetic energy.

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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Two carts on a frictionless track are traveling directly toward each other. The first cart has mass m, and speed v, the second cart has mass m, = (½)m, and speed v, = 2v,. If they collide head-on and stick together, what
can you say about the total momentum and total kinetic energy of the two-cart system? Ignore friction and air resistance. ("final" refers to after the collision and "initial" refers to before the collision.)
O The final momentum equals the initial momentum and the final kinetic energy equals the initial kinetic energy.
O The final momentum is zero and the final kinetic energy is zero.
O The final momentum is zero and the final kinetic energy equals half the initial kinetic energy
O The final momentum equals half the initial momentum and the final kinetic energy equals half the initial kinetic energy.
O The final momentum is zero and the final kinetic energy equals the initial kinetic energy.
Transcribed Image Text:Two carts on a frictionless track are traveling directly toward each other. The first cart has mass m, and speed v, the second cart has mass m, = (½)m, and speed v, = 2v,. If they collide head-on and stick together, what can you say about the total momentum and total kinetic energy of the two-cart system? Ignore friction and air resistance. ("final" refers to after the collision and "initial" refers to before the collision.) O The final momentum equals the initial momentum and the final kinetic energy equals the initial kinetic energy. O The final momentum is zero and the final kinetic energy is zero. O The final momentum is zero and the final kinetic energy equals half the initial kinetic energy O The final momentum equals half the initial momentum and the final kinetic energy equals half the initial kinetic energy. O The final momentum is zero and the final kinetic energy equals the initial kinetic energy.
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