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Physics · GRAVITATION

हिन्दी

What is the work required to be done by an external agent to slowly move a body of mass \( m \) from the surface of Earth (radius \( R_E \), mass \( M_E \)) to a height \( h = R_E \) above the surface?

  1. \( \frac{G M_E m}{2 R_E} \)
  2. \( \frac{2 G M_E m}{R_E} \)
  3. \( \frac{G M_E m}{4 R_E} \)
  4. \( \frac{G M_E m}{R_E} \)

Correct answer · Option 1

\( \frac{G M_E m}{2 R_E} \)

Explanation

Work done is \( W = -G M_E m (\frac{1}{r_2} - \frac{1}{r_1}) = -G M_E m (\frac{1}{2R_E} - \frac{1}{R_E}) = \frac{G M_E m}{2 R_E} \).
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