You are in a spaceship that has a mass of 13 $\times$ 10⁴ kg and is 2.2 $\times$ 10¹² m from a black hole near the center of the galaxy.The gravitational force exerted by the black hole on the spaceship is 46 N.The force on the ship when it has moved to one-third of its original distance from the black hole is A)410 N B)140 N C)150 N D)5.0 N E)730 N

Question

Quizplus · Accepted Answer

The gravitational force is inversely proportional to the square of the distance. If the distance is reduced to one-third, the force increases by a factor of 3^2 = 9. Thus, the new force is 46 N * 9 = 414 N, which is closest to 410 N.

You Are in a Spaceship That Has a Mass of 13