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 $
