If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body is (a) constant (b) directly proportional to time (c) inversely proportional to time (d) directly proportional to square of time

Answer: (b). F ∝ 1/v ⇒ P = Fv is constant. By the work-energy theorem, K = ∫ P dt = Pt (starting from rest). So K ∝ t. So the answer is (b) directly proportional to time.

If the force acting on a body is inversely proportional to its speed… | MHT CET 2026 (15 May, Shift 2)

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If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body is

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Answer: (b)

$F \propto \frac{1}{v} \Rightarrow P = Fv$ is constant.
By the work-energy theorem, $K = \int P\,dt = Pt$ (starting from rest).
So $K \propto t$ .
So the answer is (b) directly proportional to time.

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