Two objects, with masses m 1 and m 2 , areoriginally a distance r apart. The gra

Question

Two objects, with masses m1 and m2, areoriginally a distance r apart. The gravitational force between themhas magnitude F. The second object has its mass changed to2m2, and the distance is changed to r/4. What is themagnitude of the new gravitational force? A) F/32 B) F/16 C) 16F D) 32F Two objects, with masses m1 and m2, areoriginally a distance r apart. The gravitational force between themhas magnitude F. The second object has its mass changed to2m2, and the distance is changed to r/4. What is themagnitude of the new gravitational force? A) F/32 B) F/16 C) 16F D) 32F

Explanation / Answer

Answer : D (32F) Newton's law of gravitational force is                F = Gm1m2/r2.....................(1) And Now when the second object has its mass changed to2m2, and the distance is changed to r/4. What is themagnitude of the new gravitational force is                F2= Gm12m2/(r/4)2                     =2Gm1m2/(r2/16)                     = 32Gm1m2/r2                      = 32F (from the equation (1)                      = 32F (from the equation (1)       

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