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Planet A has double the radius than that of Planet B. If the mass of Planet A is 4 times heavier than the mass of Planet B, which of the following statements regarding weight of an object is correct?

Options

  1. AHeavier on Planet A than on Planet B
  2. BHeavier on Planet B than on Planet A
  3. CSame on both the Planets
  4. DCannot be measured on Planet B

Correct answer

C. Same on both the Planets

Step-by-step solution

and aligned R _ A & =2 R _ B M _ A & =4 M _ B Weight W _ A & = C ₂ M _ A m R _ A ^2 & = 4 GM _ B m 4 R _ B ^2 & = GM _ B m R _ B ^2 = W _ B W _ A & = W _ B . aligned

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