Diana is standing on a raft of mass 92.0 kg that is floating on a still lake. Sh

Question

Diana is standing on a raft of mass 92.0 kg that is floating on a still lake. She decides to walk the length of the raft. If Diana's mass is 62 kg and she walks with a velocity of0.81 m/s with respect to the shore, how fast and in what direction does the raft move while Diana is walking? Assume the raft is stationary with respect to the shore before Diana starts walking.

Diana is standing on a raft of mass 92.0 kg that is floating on a still lake. She decides to walk the length of the raft. If Diana's mass is 62 kg and she walks with a velocity of0.81 m/s with respect to the shore, how fast and in what direction does the raft move while Diana is walking? Assume the raft is stationary with respect to the shore before Diana starts walking.

Explanation / Answer

using the centre of mass concepts ,

velocity of centre of mass of this system will not change.

initially = finally

0   = 62 x 0.81 + 92 x v

v = - 0.55 m/s

raft is moving at speed of 0.55 m/s in opposite direction of dianna.

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