A cylinder of 10 kg is sliding in a plane

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A cylinder of $10 \,kg$ is sliding in a plane with an initial velocity of $10 \,m/s$. If the coefficient of friction between the surface and cylinder is $0.5$ then before stopping, it will cover. $(g = 10\,\,m/{s^2})$ ........ $m$

A

$2.5$

B

$5$

C

$7.5$

D

$10$

A cylinder of $10 \,kg$ is sliding in a plane with an initial velocity of $10 \,m/s$. If the coefficient of friction between the surface and cylinder is $0.5$ then before stopping, it will cover. $(g = 10\,\,m/{s^2})$ ........ $m$

Kinetic energy of the cylinder will go against friction

$\therefore \frac{1}{2}m{v^2}$=$\mu \;mgs$

 $⇒$ $s = \frac{{{u^2}}}{{2\mu \;g}} = \frac{{{{(10)}^2}}}{{2 \times (0.5) \times 10}} = 10\,m$