Q. The linear momentum $\rho$ of a body moving in one dimension varies with time according to the equation $\rho = a + bt^{2}$ where $a$ and $b$ are positive constants. The net force acting on the body is

A) A constant
B) Proportional to $t^{2}$
C) Inversely proportional to $t$
D) Proportional to $t$
Explanation

(d) $F = \frac{dp}{dt} = \frac{d}{dt}\left( a + bt^{2} \right) = 2bt\ \therefore F \propto t$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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