If a spacecraft has to sent away from th...

If a spacecraft has to sent away from the influence of the earth's gravitational field, its velocity must be less than the escape velocity .

Text Solution

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The escape velocity of a body is the minimum velocity with which is should be projected from the earth's surface, so that it can escape the influence of the earth's gravitational field. This clearly shows that the given statement is false.

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The escape velocity from the surface of the Earth is

11.2km/s

11.2m/s

11.2 cm/s

11.2mm/s

The mass of a planet is six times that of the earth. The radius of the planet is twice that of the earth. It's the escape velocity from the earth is v , then the escape velocity from the planet is:

`sqrt(3)v`

`sqrt(2)v`

`sqrt(5)v`

`sqrt(12)v`

A body is imparted a velocity v from the surface of the earth. If v_(0) is orbital velocity and v_(e) be the escape velocity then for :

`v = v_(0)` the body follows a circular track around the earth.

`v gt v_(0)`, but `lt v_(e)`, the body follows elliptical path around the earth

`v lt v_(0)`, the body follows elliptical path and returns to surface of earth

`v gt v_(e)`, the body follows hyperbolic path and escapes the gravitational pull of the earth