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A solid sphere rolls down two different ...

A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. (a) Will it reach the bottom with the same speed in each case? (b) Will it take longer to roll down one plane than the other? (c) If so, which one and why?

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(a) Yes, (b) Yes, (c) the plane with smaller inclination (`because a α sin θ`)
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