A boy can jump to a height h from ground on earth . What should be the radius of a sphere of density δ such that on jumping on it, he escapes out of the gravitational field of the sphere?
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While jumping he converts his initial kineticenergy to potentialenergy
Now this velocity has to be equal to escapevelocity on the sphere
By comparing both the velocities we get Radius(Rs)=√3gh4πGδ
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