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PhysicsGravitationEnergy & PotentialMedium2 minPYQ_2015
PhysicsMediumnumerical

A bullet is fired vertically upwards with velocityυfrom the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is14thof its value at the surface of the planet. If the escape velocity from the planet isυesc=υN, then the value of N is (ignore energy loss due to atmosphere)

Question diagram: A bullet is fired vertically upwards with velocity υ from th
Answer:
2.00
Solution:


g=g1+hR2=g4
1+hR=2
h=R...(i)
So velocity of particle becomes zero ath=R
Givenvesc=vN
So2GMR=vN...(ii)
Applying conservation of energy
-GMmR+12mv2=-GMm2R+0
On solving
v2=GMR
Sov=GMRputting in equation (ii)
2GMR=vN
ComparingN=2

Stream:JEE_ADVSubject:PhysicsTopic:GravitationSubtopic:Energy & Potential
2mℹ️ Source: PYQ_2015

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