> Q. A block $ B$ is pushed momentarily along a horizontal surface with an initial velocity $ v$ . If $ mu $ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time – LIVE ANSWER TODAY

Q. A block $ B$ is pushed momentarily along a horizontal surface with an initial velocity $ v$ . If $ mu $ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time

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A block $ B$ is pushed momentarily along a horizontal surface with an initial velocity $ v$ . If $ mu $ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time

Solution:

Block B will come to rest, if force applied to it will vanish due to frictional force acting between block B and surface, i.e.,

force applied = frictional force

i.e., $ mu mg=ma $

or $ mu mg=mleft( frac{v}{t} right) $

or $ t=frac{v}{mu g} $

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