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Two objects, a sphere and a block of the same mass, are released from rest at the top of an inclined plane. The sphere rolls down the inclined plane without slipping. The block slides down the plane without friction. Which object reaches the bottom of the ramp first?(A) The sphere, because it gains rotational kinetic energy, but the block does not(B) The sphere, because it gains mechanical energy due to the torque exerted on it, but the block does not(C) The block, because it does not lose mechanical energy due to friction, but the sphere does(D) The block, because it does not gain rotational kinetic energy, but the sphere does

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Chapter 12

Practice Test 2

Section 1

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Hi in the given problem theories. Block and us here both are allowed to fall down an inclined plane, a smooth inclined plane at the same angle and same distance and same vertical height I shown here in this figure envelope, inclination, theater height edge for both of them whether it is a block or it is a solid sphere. Now we have to find out of these two which one will reach the ground earlier. S the block will reach the ground without sleeping means it will roll down, it will rotate about its center of mass so while rolling down the incline. Their sphere will have our rotational kinetic energy also and of course, obtained from the initial gravitational potential energy. But as the block does not revolve while sliding down so wall of its gravitational potential energy will be converted into translational kinetic energy only, so it will reach the ground earlier. Hence you can see. Yeah, our option B is correct. Thank you.

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