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A crate with a mass of m is on a ramp that is inclined at an angle of 30degree from the horizontal. A force with a magnitude of F directed parallel to the ramp is used to pull the crate with a constant speed up the ramp a distance of d.

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1. What is the work done on the crate by the applied force F?

2. What is the work done on the crate by the gravitational force exerted on the crate by Earth?

3. What is the work done on the crate by the normal force, with a magnitude of Fn, exerted on the crate by the ramp? (Hint: recall that the normal force is perpendicular to the surface of the ramp.)

4. What is the work done on the crate by the frictional force Fk?

5. What is the total force acting on the crate?

6. What is the work done on the crate by the total force?

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