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Q.

A space ship of mass 2×104 kg is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to  overcome the gravitational pull  will be (if  g=10m/s2 and radius of earth =6400 km):

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a

11.2(2−1)km/s

b

7.4(2−1)km/s

c

8(2−1)km/s

d

7.9(2−1)km/s

answer is A.

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Detailed Solution

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ϑ1=ϑe−ϑ0;ϑ0=GMR=8km/s ϑe=2GMR=82 km/s ∴ϑ1=8(2−1) km/s

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