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JEE Main20209 Jan 2020Morning ShiftPhysicsGravitationActual

A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass m 2 collides with A with a velocity which is half v → 2 the instantaneous velocity v → of A. The collision is completely inelastic. Then, the combined body:

Options

  1. Acontinues to move in a circular orbit
  2. BEscapes from the Planet's Gravitational field
  3. CFalls vertically downwards towards the planet
  4. Dstarts moving in an elliptical orbit around the planet

Correct answer

D. starts moving in an elliptical orbit around the planet

Step-by-step solution

Conserving momentum m 2 v 2 + m v = m + m 2 v f v f = 2 m V 4 × 3 m 2 = 5 V 6 v f < v o r b = v thus the combined mass will go on to an elliptical path

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