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AIIMS 2014
Exam
AIIMS
Year
2014
Subject
Physics
Chapter
Gravitation

AIIMS 2014 · Physics · Gravitation

A satellite is in an orbit around the earth. If its kinetic energy...

A satellite is in an orbit around the earth. If its kinetic energy is doubled, then

Options

  1. Ait will maintain its path
  2. Bit will fall on the earth
  3. Cit will rotate with a great speed
  4. Dit will escape out of earth’s gravitational field

Correct answer

D. it will escape out of earth’s gravitational field

Step-by-step solution

Kinetic energy, K=12mv02K=\frac{1}{2} m v_0^2 or v0=2Kmv_0=\sqrt{\frac{2 K}{m}} When kinetic energy is doubled, then v0′=2×2Km=22Km=2v0v_0^{\prime}=\sqrt{\frac{2 \times 2 K}{m}}=\sqrt{2} \sqrt{\frac{2 K}{m}}=\sqrt{2} v_0 But 2v0=ve\sqrt{2} v_0=v_e (escape velocity) Hence satellite will escape out of earth's gravitational field.
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