Compute all parts of given problem:

Problem: A woman is pushing a packing case of mass 20kg up a 37 degree inclined slope. The coefficient of kinetic friction between the case and the slope is mk=0.100 and the coefficient of static friction is ms=0.200(NOTE: use cos(37)=0.8 and sin(37)=0.6).

Part A: If the woman pushes in a direction parallel to the slope, calculate the force she must apply in this direction to keep the case moving at a constant speed.

Part B: Now calculate the minimum force the woman must apply parallel to the slope to keep the case from sliding down the slope (i.e. just to keep it in equilibrium, at rest).

Please show work on how to solve the above problem!