A solid wooden sphere rolls down two different inclined planes of the same height but of different inclinations. (a) Will it reach the bottom with same speed in each case ? (b) Will it take longer to roll down one inclined plane than other ? Explain.

A solid wooden sphere rolls down two different inclined planes of the

1.	A solid wooden sphere rolls down two different inclined planes of the same height but of different inclinations. (a) Will it reach the bottom with same speed in each case ? (b) Will it take longer to roll down one inclined plane than other ? Explain.
Answer» (a) Yes, because speed at the bottom depends only on height and not on slope. (b) Yes, greater the inclination `(theta)`, smaller will be the time of descent, as `t prop 1//sin theta`.

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A solid wooden sphere rolls down two different inclined planes of the same height but of different inclinations. (a) Will it reach the bottom with same speed in each case ? (b) Will it take longer to roll down one inclined plane than other ? Explain.

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