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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A boy standing at one end of a floating raft that is stationary relative to the shore walks to the opposite end of the raft, away from the shore. As a consequence, the raft (a) remains stationary, (b) moves away from the shore, or (c) moves toward the shore. (Hint: Use conservation of momentum.)

To determine
The motion of the raft with respect to the motion of the boy.

Explanation

According to the conservation of momentum, the initial momentum of the system is equal to the final velocity of the system.

The conservation of momentum is given by,

m1u1+m2u2=m1v1+m2v2

  • m1 is the mass of boy
  • m2 is the mass of raft
  • u1 is the initial velocity of boy
  • u2 is the initial velocity of raft
  • v1 is the final velocity of boy
  • v2 is the final velocity of raft

Rearranging the equation gives the final velocity of the raft as,

v2=m1u<

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