A man pulls a crate of mass 71.0 kg across a level floor. He pulls with a force

Question

A man pulls a crate of mass 71.0 kg across a level floor. He pulls with a force of 186.0 N at an angle of 31.0? above the horizontal. When the crate is moving, the frictional force between the floor and the crate has a magnitude of 130.0 N. If the crate starts from rest, how fast will it be moving after the man has pulled it a distance of 1.90 m

A man pulls a crate of mass 71.0 kg across a level floor. He pulls with a force of 186.0 N at an angle of 31.0? above the horizontal. When the crate is moving, the frictional force between the floor and the crate has a magnitude of 130.0 N. If the crate starts from rest, how fast will it be moving after the man has pulled it a distance of 1.90 m

Explanation / Answer

Horizontal force = Fcos31 = 186Xcos31 = 159.4N Force due to friction = -130 N Net force = 29.4N Acceleration a = 29.4/71 = 0.414 m/s^2 S = 1.9 m V^2 = U^2 + 2as as U=0 V= (2as)^0.5 = (2X0.414X1.9)^0.5 = 1.25m/s

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