Impulsive Friction

MediumPhysElo Quiz #8

49.Impulsive Friction

+10

A block of mass

m

rests on a horizontal floor. The coefficient of kinetic friction between the block and the floor is

\mu

. A hammer strikes the block, delivering an extremely brief, total impulse of magnitude

J

whose direction is an angle

\theta

below the horizontal. Assume the duration of the strike is so small that the impulse delivered by gravity during the strike is negligible, and the floor perfectly supports the block. What is the speed of the block immediately after the strike? (Assume the block slides as a result of the strike.)

\frac{J}{m} \cos \theta

\frac{J}{m} (\cos \theta - \mu \sin \theta)

\frac{J}{m} (\cos \theta + \mu \sin \theta)

\frac{J}{m} (\cos \theta - \mu)

\frac{J}{m} (\sin \theta - \mu \cos \theta)

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