Laws Of Motion Question 248

Question: The linear momentum p of a body moving in one dimension varies with time according to the equation $ p=a+bt^{2} $ where a and b are positive constants. The net force acting on the body is[Pb. PET 2002]

Options:

A) A constant

B) Proportional to $ t^{2} $

C) Inversely proportional to t

D) Proportional to t

Show Answer

Answer:

Correct Answer: D

Solution:

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



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