Question

# A body is projected with velocity v of magnitude √gR  < V < √2gR  at an angle with the radius vector of earth.  If at the highest point the speed of the   body is v/4, the maximum height attained by the body is equal to  R

Solution

## The correct option is B R Where R = radius of earth g = 9.8 m/s2             (Use the appropriate assumptions) Conservation of angular momentum of the body about 'O' yield mv (sin 30)R= mv2(R+h)        ⇒ v2R = v4(R+h)         ⇒ h =R

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