1. A 2.00 kg cart (cart #1) moving to the right at 12.0 m/s collides with a 1.20 kg cart (cart #2) moving to
the right at 2.00 m/s. The two carts stick together and move to the right after the collision.
A. What is the initial momentum of cart #1?
B. What is the initial momentum of cart #2 ?
C. What is the total momentum of both carts after the collision?
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Answer:
Momentum is conserved because the net external force on the puck-goalie system is zero.
Conservation of momentum is p1 + p2 = p′1 + p′2 or m1v1 + m2v2 = m1v′1 + m2v′2.
Because the goalie is initially at rest, we know v2=0. Because the goalie catches the puck, the final velocities are equal, or v′1 = v′2 = v′. Thus, the conservation of momentum equation simplifies to m1 v1 = (m1 + m2)v′.
Explanation:
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