Gravitation Question 117

Question: 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) [Roorkee 1999; RPET 1999]

Options:

A) [Rk2+1]

B) [Rk21]

C) [R1k2]

D) [Rk+1]

Show Answer

Answer:

Correct Answer: C

Solution:

Kinetic energy = Potential energy

[12m,(kve)2=mgh1+hR]

Þ [12mk22gR=mgh1+hR]

[,h=Rk21k2]

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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