Two small objects with masses m and M are originally a distance r-apart and the

ID: 1659069 • Letter: T

Question

Two small objects with masses m and M are originally a distance r-apart and the gravitational force on each has a magnitude F. The second object has its mass changed to 2M and the distance is changed to r/4. What is the magnitude of the new gravitational force? Two small objects with masses m and M are originally a distance r-apart and the gravitational force on each has a magnitude F. The second object has its mass changed to 2M and the distance is changed to r/4. What is the magnitude of the new gravitational force?

Explanation / Answer

F = G M m / r^2

now F' = G (2M)(m) / (r/4)^2

F' = 32 G M m / r^2

F' = 32 F

Ans: 32F

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