A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed v0. It encounters an inclined plane at angle $\theta$ and climbs upward. Assuming that it rolls without slipping, how far up the sphere will travel?

Question

A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed v₀. It encounters an inclined plane at angle $\theta$ and climbs upward. Assuming that it rolls without slipping, how far up the sphere will travel?

${{v_0^2} \over {2g\sin \theta }}$

${{7v_0^2} \over {10g\sin \theta }}$

${2 \over 5}{{v_0^2} \over {g\sin \theta }}$

${{v_0^2} \over {5g\sin \theta }}$

Solution

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