A cylinder of 10 ,kg is sliding in a plane with an initial velocity of 10 ,m/s . If coefficient of f

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5.Work, Energy, Power and Collision

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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

$10$

Solution

(d) Kinetic energy of the cylinder will go against friction

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

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

Standard 11

Physics

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