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The displacement of a particle of mass 2...

The displacement of a particle of mass 2kg moving in a straight line varies with times as `x = (2t^(3)+2)m`. Impulse of the force acting on the particle over a time interval between t = 0 and t = 1 s is

A

`10N - s`

B

`12 N - s`

C

`8 N - s`

D

`6 N - s`

Text Solution

Verified by Experts

The correct Answer is:
B
`S = 2t^3 + 2 , " " V = (ds)/(dt) = 6t^2`
`implies a = (dV)/(dt) = 12t implies F = ma = 24 t, " " I = int Fdt = int_(0)^1 24t dt = [12 t^2]_(0)^(1) = 12 N - s` .
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