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AP EAMCET2007PhysicsGravitation

The mass of a planet is half that of the earth and the radius of the planet is one-fourth that of earth. If we plan to send an artificial satellite from the planet, the escape velocity will be, (escape velocity on earth v_e=11 ~km - s ⁻¹ )

Options

  1. A11 ~km _ - s ⁻¹
  2. B5.5 ~km ^ - s ⁻¹
  3. C15.55 ~km - s ⁻¹
  4. D7.78 ~km - s ⁻¹

Correct answer

C. 15.55 ~km - s ⁻¹

Step-by-step solution

Escape velocity array rlrl & v_ es & = 2 G M R & & v₁ v₂ & = M₁ M₂ R₂ R₁ & & v₁ v₂ & = M₁ M₁ 2 R₁ 4 R₁ = 1 2 & & v₂ & = 2 11=15.55 kms ⁻¹ array

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