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Maximum Push Using Friction

A block of ma...

Question

A block of mass $1 k g$ starts moving at $t = 0$ with speed $2 m / s$ on rough horizontal surface with coefficient of friction $0.2$ . A horizontal force $F$ is applied in the same direction of velocity which varies with time shown in figure (b). Find the speed of particle at $t = 3 s$ ( $g = 10 m / s^{2})$

1 m / s

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zero

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5 m / s

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2 m / s

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Solution

The correct option is B zero
Friction force = $0.2 \times 1 \times 10 = 2 N$ .
At $t = 2 s$ block comes to rest and then $F <$ friction. So, speed at $t = 3 s$ is zero.
$∴$ (b)

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