Laws Of Motion Question 261

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 [MP PMT 1993]

Options:

A) Proportional to $ t^{2} $

B) A constant

C) Proportional to t

D) Inversely proportional to t

Show Answer

Answer:

Correct Answer: C

Solution:

$ \vec{F}=\frac{d\vec{p}}{dt} $ = $ \frac{d}{dt}(a+bt^{2})=2bt $

i.e. $ F\propto t $



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