A crate of mass 150.0 kg lies at rest on a horizontal storage room floor. The coefficient of static friction between the crate and the floor is 0.70, and the coefficient of kinetic friction is 0.35. (You may assume g = 10.0 m/s2). a) Suppose someone pulls on a horizontal rope attached to the crate. They slowly increase the tension in the rope. Draw a free body diagram of the system. b) Suppose someone pulls on a horizontal rope attached to the crate with a force of 200 N. Does the crate remain at rest or start moving? If it moves does it have constant speed or continue to accelerate? If it accelerates, what is its acceleration? Under these conditions what is the frictional force on the crate? c) Answer part (b) again if the pull on the rope is 1000 N. d) What force on the rope is needed to start the crate sliding?