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Q.

The escape speed for a projectile in the case of earth is 11.2 km/sec. A body is projected from the surface of the earth with a velocity which is equal to twice the escape speed. The velocity of the body when at infinite distance from the centre of the earth is-

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a

11.2 km/sec

b

22.4 km/sec

c

11.23 km/sec

d

11.22 km/sec

answer is C.

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Detailed Solution

Form energy conservation 12mv2=12mve2+12mv′2⇒v2=ve2+v′2V′2=(2×11.2−11.2)(2×11.2+11.2)⇒V2=11.2×11.2×3⇒V′=11.23
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The escape speed for a projectile in the case of earth is 11.2 km/sec. A body is projected from the surface of the earth with a velocity which is equal to twice the escape speed. The velocity of the body when at infinite distance from the centre of the earth is-