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Kentucky Governor's Cup Practice Test

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If a constant force acts on a body, the rate of change of its momentum is proportional to the force. If the force doubles, what happens to the rate of momentum change?
Correct Answer:
Doubles
Explanation:
The rate at which momentum changes is exactly equal to the applied force. This is Newton’s second law in momentum form: dp/dt = F. If the force doubles, the rate of momentum change doubles as well, so momentum increases twice as fast. Since dp/dt is directly proportional to F for a constant force, there’s a one-to-one increase with force, not just a vague increase, a halt, or a reduction.

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