Consider the heaviest box that you can push at constant speed across a level floor, where the coefficient of kinetic friction is 0.50, and estimate the maximum horizontal force that you can apply to the box. A box sits on a ramp that is inclined at an angle of 60 above the horizontal. The coefficient of kinetic friction between the box and the ramp is 0.50. If you apply the same magnitude force, now parallel to the ramp, that you applied to the box on the floor, what is the heaviest box (in pounds) that you can push up the ramp at constant speed? (In both cases assume you can give enough extra push to get the box started moving.)

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Consider the heaviest box that you can push at constant speed
across a level floor, where the coefficient of kinetic friction is 0.50,
and estimate the maximum horizontal force that you can apply to the
box. A box sits on a ramp that is inclined at an angle of 60 above
the horizontal. The coefficient of kinetic friction between the box and
the ramp is 0.50. If you apply the same magnitude force, now parallel
to the ramp, that you applied to the box on the floor, what is the heaviest
box (in pounds) that you can push up the ramp at constant speed?
(In both cases assume you can give enough extra push to get the box
started moving.)

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