Question

# The linear momentum P’ of a moving body in one dimensional frame varies with time as P=x−yt2, where x and y are position constants. The rate of change of momentum is the force that acts on the body. In such a case the force is

A
Proportional to t2
B
Proportional to t
C
Inversely proportional to t2
D
Inversely proportional to t

Solution

## The correct option is A Proportional to tP=x+yt2 f=dpdt dp−2 dpdt=2yt as 2y’ is constant  F∝t

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