A 15 kg crate starts at rest at the top of a 60.0° incline. The coefficients of friction are μ_s = 0.40 and μ_k = 0.30. The crate is connected to a hanging 8.0 kg box by an ideal rope and pulley. 

(a) As the crate slides down the incline, what is the tension in the rope? 

(b) How long does it take the crate to slide 2.00 m down the incline? 

(c) To push the crate back up the incline at constant speed, with what force should you push on the crate (parallel to the incline)? 

(d) What is the smallest mass that you could substitute for the 8.0 kg box to keep the crate from sliding down the incline?