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Find the maximum height attained by a bo...

Find the maximum height attained by a body projected with a speed `v=v_(e)//2`. Where `v_(e )=` escape velocity of any object at earth's surface.

Text Solution

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`DeltaKE+DeltaPE=0`
`implies-(1)/(2)mv^(2)+GMm((1)/(R )-(1)/(R+h))=0`
Put `v=(v_(e ))/(2)=sqrt((GM)/(2R))`
`:.h=R//3`
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