A certain solid uniform ball reaches a maximum height h0 whenit rolls up a hill

Question

A certain solid uniform ball reaches a maximum height h0 whenit rolls up a hill without slipping. What maximum height (interms of h0) will it reach if you (a) double its diameter, (b) double its mass, (c) double both diameter and mass, (d) double its angular speed at the bottom of the bill? A certain solid uniform ball reaches a maximum height h0 whenit rolls up a hill without slipping. What maximum height (interms of h0) will it reach if you (a) double its diameter, (b) double its mass, (c) double both diameter and mass, (d) double its angular speed at the bottom of the bill?

Explanation / Answer

A certain solid uniform ball reaches a maximum height h0 whenit rolls up a hill without slipping. What maximum height (interms of h0) will it reach if you (a) double its diameter,

(b) double its mass,

(c) double both diameter and mass,

(d) double its angular speed at the bottom of the bill?

total kinetic energy of a rollingbody=1/2MV2[1+K2/R2]
so
A)
no change
B) no change
C)no change
D)no change

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