An 85 kg man tries to pull himself up the face of a boulder using a rope hooked to a tree above it. The face of the boulder created a 50.0° angle with the horizontal. If the coefficient of friction between his shoes and the boulder is 0.350, will he make it up if he pulls with 550. N of force? Remember his shoes will try to slip backwards when considering friction.

Consider the 52.0-kg mountain climber shown below. (a) Find the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. (b) What is the minimum coefficient of friction between her shoes and the cliff?

A small box is held in place against a rough wall by someone pushing on it with a force directed upward at an angle of 260 above the horizontal.  The coefficient of static and kinetic friction between the box and the wall are 0.40 and 0.30, respectively.   The box slides down unless the applied force has a magnitude of 13 N.  What is the mass of the box?

A large box of mass 11.4 kg sits on a ramp that makes an angle of 30.1 degrees with the horizontal. The surface of the ramp is rough and the coefficients of static and kinetic friction are given as 0.56 and 0,38, respectively. We exert a force up the ramp (parallel to the ramp surface) so that the box does not move. Calculate the maximum and the minimum magnitude of the force we can exert so that the box does not move. Enter the difference between the maximum and the minimum force values here: Fmax-Fmin (in Newtons). On your paper, show all the forces on free-body diagrams, clearly show your work, your derivation and calculations. Make sure to include your physics-based reasoning.