A factory worker pushes a 30.1 kg crate a distance of 4.80 m along a level floor by pushing downward at an angle of 32.0 degree below the horizontal. The coefficient of kinetic friction between the crate and floor is 0.260.

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

b.) How much work is done on the crate by the worker's pushing force when the crate is pushed a distance of 4.80 m ?

c.) How much work is done on the crate by the force of friction during this displacement?

d.) How much work is done by the normal force?

e.) How much work is done by gravity?

f.) What is the total work done on the crate?