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The linear momentum p of a body moving i...

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

A

proportional to `t^(2)`

B

a constant

C

proportional to t

D

inversely proportional to t

Text Solution

Verified by Experts

The correct Answer is:
C
`F= (d)/(dt) (mv)= (d)/(dt)(P)`
`therefore F= (d)/(dt) (a+bt^(2))= 2bt`
Thus `F prop t(because 2b " is a constant")`
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