A box is pulled up a straight ramp that is inclined at above the horizontal
PHYSICS · Multi-part · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics
Problem
A 5.0kg box is pulled up a straight ramp that is inclined at 15∘ above the horizontal. A rope exerts a constant horizontal force F (i.e., the rope is held parallel to the ground, not parallel to the ramp). The coefficient of kinetic friction between the box and the ramp is μk=0.15. The box moves up the ramp at a constant speed.
(a) Resolve the horizontal pulling force F into components that are parallel to and perpendicular to the ramp surface, expressing each component in terms of F and the given angle.
(b) Using Newton’s laws, determine the magnitude of the horizontal force F required to keep the box moving up the ramp at constant speed.
(c) Calculate the magnitude of the normal force exerted by the ramp on the box under these conditions.