SAT Math Multiple Choice Question 199: Answer and Explanation

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Question: 199

4. Newton's law of gravitation describes the strength of the force F between two objects with masses M and m separated by a distance of r units and is defined as. F = . Which of the following gives the value of Newton's gravitational constant G, in terms of F, M, m, and r ?

  • A. G = Fr2Mm
  • B. G =
  • C. G =
  • D. G =

Correct Answer: B


B Plugging In could work on this one, but calculators aren't permitted. Since the equation is fairly simple, solving may be a better approach. Multiply both sides of the equation by r2 to get Fr2 = GMm. Divide both sides of the equation by Mm to get = G. The correct answer is (B).

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