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There are two inclined planes with the s...

There are two inclined planes with the same vertical height, but with different angles of inclination. Two bodies of mass m each are placed at the bottom of the inclined plane. Two external forces of equal magnitude do work in taking the bodies to the top of the inclined plane. Which force does more work?

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The force that does more work is the force that acts on the body placed on the bottom of the inclined plane with lesser angle of inclination. As the angle of inclination is less, the body will travel more distance. The frictional force will be more as the `cos theta` component will be high. Work done is force multiplied by the displacement, and in this case, the distance as well as the frictional force is hight. The force acting on the body, which is at the bottom of the inclined plane with lesser angle of inclination, does more work.
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CENGAGE PHYSICS-WORK, POWER & ENERGY-Exercise 8.1
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