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A 100 kg person pushes a box up a ramp at constant speed. The mass of...

A 100 kg person pushes a box up a ramp at constant speed. The mass of the box is 30 kg, the coefficient of kinetic friction between the box and the ramp is 0.2, and the ramp is inclined 25 degrees above the horizontal. The person (new at pushing boxes up ramps) pushes purely in the horizontal direction. HINT: you must draw complete FBDs to receive full credit.

a) Find an expression for the magnitude of the normal force on the box due to the ramp. This answer should be left in variables, not numbers.
b) Find the magnitude of the force on the box due to the person.
c) Each step the person takes requires a force of static friction so that she does not slip. Find the magnitude of the force of static friction on the person due to the ramp.

d) Find the minimum coefficient of static friction between the person's shoes and the ramp, so that this feat is possible.

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