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On a rough horizontal surface, a block of mass m is at rest. It suddenly receives a horizontal linear impulse J. How long it will continue to be in motion? Take g as the acceleration due to gravity and μ is the coefficient of kinetic friction.

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a

J2μmg

b

J22μm2g

c

Jμmg

d

2Jμmg

answer is C.

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Detailed Solution

Fxt=Jhere F=μmgμmgt=J , t=Jμmg

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On a rough horizontal surface, a block of mass m is at rest. It suddenly receives a horizontal linear impulse J. How long it will continue to be in motion? Take g as the acceleration due to gravity and μ is the coefficient of kinetic friction.