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NEET2003PhysicsGravitationActual

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

Options

  1. Amass of the earth
  2. Bmass of the projectile
  3. Cradius of the projectile's orbit
  4. Dgravitational constant.

Correct answer

B. mass of the projectile

Step-by-step solution

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 1 2 m v_e^2=G M m R v_e= 2 G M R where G is the universal gravitational constant, M is the mass of the earth and R is the radius of the earth. Hence the escape velocity of a projectile is independent of its own mass.

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