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)