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Q.

A spaceship is launched into a circular orbit of radius R close to the surface of the earth. The additional velocity to be imparted to the spaceship in the orbit to overcome the earth’s gravitational pull is (g is acceleration due to gravity)

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a

0.414gR

b

0.414Rg

c

1.414gR

d

1.414Rg

answer is D.

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Detailed Solution

v0=GMR=Rg

ve=2GMR=2gR

vadditional=ve−v0

=gR(2−1)

=0.414 gR

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