# 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 = Fr
^{2}Mm - B. G =
- C. G =
- D. G =

**Correct Answer:** B

**Explanation:**

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 r^{2} to get Fr^{2} = GMm. Divide both sides of the equation by Mm to get = G. The correct answer is (B).