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+bt2 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 t2

C) Inversely proportional to t

D) Proportional to t

Show Answer

Answer:

Correct Answer: D

Solution:

F=dpdt=¯ddt(a+bt2)=2bt \ F∝t

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