A 70-kg man is standing in a 20-kg boat. Thinking he is stepping out onto the dock, the man steps to the right. However, the following will actually happen (ignore the friction of the water or air on the boat or the man):Select one:a.None of the above.b.The boat doesn't move and the man moves to the right.c.The man actually stays still while the boat moves toward the left.d.The man only moves a short distance to the right while the boat moves a larger distance to the left.
Question
A 70-kg man is standing in a 20-kg boat. Thinking he is stepping out onto the dock, the man steps to the right. However, the following will actually happen (ignore the friction of the water or air on the boat or the man):Select one:a.None of the above.b.The boat doesn't move and the man moves to the right.c.The man actually stays still while the boat moves toward the left.d.The man only moves a short distance to the right while the boat moves a larger distance to the left.
Solution
The correct answer is d. The man only moves a short distance to the right while the boat moves a larger distance to the left.
This is due to the law of conservation of momentum. When the man moves to the right, his action exerts a force on the boat, causing it to move to the left. However, because the man's mass is greater than the boat's, the boat moves a larger distance.
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