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

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v/(gμ)

gμ/V

g/V

V/g

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detailed solution

Correct option is A

Friction is the retarding force for the block F=ma=μmgRetardation a=μgFrom first equation to motion v=u−at⇒0=V−μg×t⇒t=Vμg

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