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A ball moves over a fixed track as shown...


A ball moves over a fixed track as shown in the figure. From A to B the ball rolls without slipping. If surface BC is frictionless and `K_(A),K_(B)` and `K_(C)` are kinetic energies of the ball at A, B and C respectively then
(a). `h_(A)gth_(C),K_(B)gtK_(C)`
(b). `h_(A)gth_(C),K_(C)gtK_(A)`
(c). `h_(A)=h_(C),K_(B)=K_(C)`
(d). `h_(A)lth_(C),K_(B)gtK_(C)`

A

`h_(A)gth_(C),K_(B)gtK_(C)`

B

`h_(A)lth_(C),K_(C)gtK_(A)`

C

`h_(A)=h_(C),K_(B)=K_(C)`

D

`h_(A)lth_(C),K_(B)gtK_(C)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Since no work is being done in done in the proces, the sum of kinetic energy, translational kinetic energy, rotational kinetic energy and potential energy will be constant.
`KE_(A)+mgh_(A)=KE_(B)=KE_(C)+mgh_(C)`
`KE_(B)gtKE_(A)` and `KE_(B)gtKE_(C)`
now if `h_(C)gth_(A)`, then `KE_(A)+KE_(C)`
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