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Block sliding down an inclined plane

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A block slides down an incline (see the fig. in the attachment). As it moves from point A to point B, which are 6.6 m apart force F acts on the block, with magnitude 3.3 N and directed down the incline. The magnitude of the frictional force acting on the block is 6.1 N. If the kinetic energy of the block increases by 28 J between A and B, how much work is done on the block by the gravitational force as the block moves from A to B?

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Solution Preview

Please see the attached file.

The diagram shows various forces acting on the block.

mg = weight of the block acting vertically downwards which is resolved into components mgcosθ perpendicular to the inclined plane and mgsinθ parallel to the inclined plane.

F = Applied force parallel to the inclined plane (down the plane) = 3.3 N

f = Frictional force parallel to the inclined plane (up the plane) = 6.1 N

Let the ...

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