A rug (mass of 20.0 kg) is sitting on a slope with an angle of 20 degrees. A person (mass of 40.0 kg) wants to slide on the rug and sits on top of it. The person is sliding up hill on top of the rug, and the rug is not sliding on the sloped ramp.  The person and the rug have a kinetic friction coefficient of 0.300, while the rug and the ramp have a static friction coefficient of 0.700. What is the magnitude and direction of acceleration of the person? What is the magnitude of static frictional force between the rug and the ramp? And is static frictional force pointing up hill or down hill? Finally, if you change the angle of the ramp while keeping all of the other quantities the same, what angle would produce the maximum acceleration of the person?

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Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.