The rate of change of momentum of a body falling freely under gravity is equal to its:
Correct answer: D. Weight
- A. Impulse
- B. Kinetic energy
- C. Power
- D. Weight
Explanation
Option D is correct. The rate of change of momentum of a body falling freely under gravity is equal to its weight. When an object is in free fall, the force of gravity is the only force acting on it, which can be expressed as its weight (mass * gravity). Therefore, according to Newton's second law, the rate of change of momentum (dp/dt) is equal to the gravitational force, synonymous with weight in this context.Why the other options are incorrect:Impulse: Although impulse is related to the change in momentum, it is not the rate of change of momentum; it is the product of force and the time during which the force acts.Kinetic Energy: Kinetic energy quantifies an object's energy due to motion but is not directly linked to the momentum change rate.Power: Power measures the rate of doing work, not the rate of change of momentum.
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