Q.

The escape velocity of a projectile on the earth's surface is 11.2 km s-1. A body is projected out with thrice this speed. The speed of the body far away from the earth will be :

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a

22.4 km s-1

b

31.7 km s-1

c

33.6 km s-1

d

none of these

answer is C.

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Detailed Solution

−GMmR+12m3ve2=0+12mv∞2⇒v∞=33.6km/s
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The escape velocity of a projectile on the earth's surface is 11.2 km s-1. A body is projected out with thrice this speed. The speed of the body far away from the earth will be :