Questions
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)
detailed solution
Correct option is C
Kinetic energy = Potential energy12m (kve)2=mgh1+hR⇒12mk22gR=mgh1+hR⇒ h=Rk21−k2Height of Projectile from the earth's surface = hHeight from the centre r=R+h=R+Rk21−k2By solving r=R1−k2.Talk to our academic expert!
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