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A factory worker pushes a 32.0 kg crate a distance of 4.9 m along a level floor at constant velocity by pushing downward at an angle of 32 ∘ below the horizontal. The coefficient of kinetic friction between the crate and floor is 0.25.

What magnitude of force must the worker apply to move the crate at constant velocity?

How much work is done on the crate by this force when the crate is pushed a distance of 4.9 m ?

How much work is done on the crate by friction during this displacement?

What is the total work done on the crate?

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