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A factory worker pushes a 25.0 kg crate ...

A factory worker pushes a 25.0 kg crate downward at an angle of `30^(@)` below the horizontal a distance of 6.0 m along a level floor.
(a) What magnitude of force must the worker apply to move the crate at constant velocity, if the coefficient of kinetic friction between the crate and floor is 0.3 ?
(b) How much work is done on the crate by this force when the crate is pushed a distance of 6.0 m?
(c) How much work is done on the crate by friction during this displacement ?
(d) How much work is done by the normal force and by gracity ?
(e) What is the total work done on the crate ? Take `g=10m//s^(2)`

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