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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

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
`p = a+ bt^(2)`
`rArr F = (dp)/(dt) = 2bt " "i.e., F prop t`
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