A Bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is 1/4 th of its value at the surface of the planet. If the escape velocity from the planet is v esc = 
, then the value of N is (ignore energy loss due to atmosphere)
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(2)
Sol When it reaches its maximum height, its acceleration due to the planet's gravity is 1/4 th of its value
at the surface of the planet.
r = 2R
By conservation of mechanical energy
⇒ 
v esc = 
N = 2
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