AP Physics 1 Question 243: Answer and Explanation

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Question: 243

13. Two large bodies, Body A of mass m and Body B of mass 4m, are separated by a distance R. At what distance from Body A, along the line joining the bodies, would the gravitational force on an object be equal to zero? (Ignore the presence of any other bodies.)

  • A.
  • B.
  • C.
  • D.

Correct Answer: D



Let the object's distance from Body A be x; then its distance from Body B is R - x. In order for the object to feel no net gravitational force, the gravitational pull by A must balance the gravitational pull by B. Therefore, if you let M denote the mass of the object, then