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Gravitational potential and potential energy

A projectile is projected with velocity  kve in vertically upward direction from the ground into the space. (ve  is escape velocity and  k < 1). If air resistance is considered to be negligible then the maximum height from the centre of earth to which it can go, will be : (R = radius of earth)


Kinetic energy = Potential energy


Height of Projectile from the earth's surface = h
Height from the centre  r=R+h=R+Rk21k2
By solving  r=R1k2

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