3) A 100 kg crate is sitting on level, rough ground and is being pulled to the right by the 500N tension in a rope that makes an angle of 30 with respect to the horizontal. The box is accelerating to the right with a constant acceleration of 3 m/s 2 . The box slides for a total of 15m along the ground. Answer the following questions.

a) How much work is done by the tension in the rope?

b) How much work is done by the force of gravity?

c) How much work is done by the force of friction? d) Assuming that the crate starts from rest, what is the final velocity of the crate?