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 $
