A body is projected up with a velocity equal to 9 G M 8 R , where M is the mass of the earth and R is the radius of the earth. The maximum distance it reaches from the centre of the earth is

Question

A body is projected up with a velocity equal to 9 G M 8 R , where M is the mass of the earth and R is the radius of the earth. The maximum distance it reaches from the centre of the earth is, 10 R 9, 16 R 7, 10 R 3, 9 R 8

MARKS App · Accepted Answer

Let us assume that the maximum distance of the body from the centre of the earth is h . Applying the conservation of mechanical energy, we get 1 2 m 9 G M 8 R 2 - G M m R = - G M m h - 7 16 G M m R = - G M m h ⇒ h = 16 R 7

Search any question & find its solution

Looking for more such questions to practice?