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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 t according to the equation `p = a + bt^(2)`, where a and p are positive constant. The net force acting on the body is

A

a constant

B

proportional to `t^(2)`

C

inversely proportional to t

D

proportional to t

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `p = a + bt^(2)`
`(dp)/(dt) = 2bt`
`because" "F = (dp)/(dt)`
`therefore" "F=2bt " or "F prop t`
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