A factory worker pushes a 30.0kg crate a distance of 4.4 m along a level floor at constant velocity by pushing downward at an angle of 31 below the horizontal. The coefficient of kinetic friction between the crate and floor is 0.24.
1- What magnitude of force must the worker apply to move the crate at constant velocity?
2- How much work is done on the crate by this force when the crate is pushed a distance of 4.4m?
3- How much work is done on the crate by friction during this displacement?
4- How much work is done by the normal force?
5- How much work is done by gravity?
6- What is the total work done on the crate?