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The acceleration due to gravity on a planet with mass and radius half of the Earth will be:

Correct answer: C. 19.6 m/sec2

  • A. 4.9 m/sec2
  • B. 9.8 m/sec2
  • C. 19.6 m/sec2
  • D. 2.45 m/sec2

Explanation

Gravitational acceleration on Earth = GM/R2 Gravitational acceleration on another planet with mass and radius half = G(0.5M)/0.25R2 Comparing both the g, their ratio will be, g'/g= 2/1The value of g on Earth is 9.81m/s2, so the value of g' will be 9.81 x 2 =19.6m/s2.Hence the correct option is C.

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Newton’s law of universal gravitation relates the force between masses to their masses and separation, while gravitational field strength explains weight and orbital motion. The topic covers satellite velocity and period, escape ideas, weightlessness in free fall, and artificial gravity, which differs from ordinary gravitational attraction.

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