Physics Gravitation Gravitation Field, Force,Mass, Potential Energy and Escape Velocity MCQ (Single Correct)

The velocity with which a projectile must be fired so that it escapes earth’s gravitation does not depend on

A
Mass of the earth
B
Mass of the projectile
C
Radius of the projectile’s orbit
D
Gravitational constant

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The correct answer is:
B

For a projectile to leave the gravitational field of the earth, its kinetic energy would be at least

equal to its potential energy.

That is

where is the universal gravitational constant,
is the mass of the earth and
is the radius of the earth.

Hence the escape velocity of a projectile is independent of its own mass.

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