A block slides down a frictionless ramp, while a hollow sphere anda solid ball r

Question

A block slides down a frictionless ramp, while a hollow sphere anda solid ball roll without slipping down a second ramp with the sameheight and slope. Rank the arrival times at the bottom fromshortest to longest.
ball, sphere, block
sphere,ball, block
block,ball, sphere
ball,block, sphere
block,sphere, ball
ball, sphere, block
sphere,ball, block
block,ball, sphere
ball,block, sphere
block,sphere, ball
ball, sphere, block
sphere,ball, block
block,ball, sphere
ball,block, sphere
block,sphere, ball

Explanation / Answer

Moment of inertia of hollow sphere ( 2/ 3 ) M R ^2 is greater than moment of inertia of the soild ball ( 2/ 5) M R ^ 2 So, angular speed of the hollow sphere is less than angularspeed of soild ball So, solid ball reaches the ground first So, answer is ball , hollow sphere , block

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