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A comet revolves around the sun in an elliptical orbit. When it is closest to the sun at distance d , then its corresponding kinetic energy is k 0 . If it is farthest from the sun at distance 3 d then the corresponding kinetic energy will be

Options

  1. Ak 0 9
  2. B8k 0 9
  3. Ck 0 4
  4. D4k 0 9

Correct answer

A. k 0 9

Step-by-step solution

v 1 r 1 = v 2 r 2 = constant ∴ v 0 d = 3 dv 1 ⇒ v 1 = v 0 3 ∴ KE = 1 2 mv 0 2 9 ⇒ KE = k 0 9

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