1.

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.

Answer»

Solution :`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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