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A 10 kg block is resting on the horizontal surface when the force F is applied to it for 7 seconds. The variation of F with time is shown. The coefficients of static and kinetic friction in both 0.50. Find velocity of the block(in m/s) at t = 4 sec.

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answer is 5.

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Detailed Solution

Limiting friction force
$f = μ m g = 0.5 \times 10 \times 10 = 50 N$

Therefore body starts moving at t= 2sec

Momentum attained is

Mv-0=Area under F-t curve (t=2 to t =4)

$\Rightarrow m v = 50 \Rightarrow v = 5 m / s$

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