At the surface of the moon,the acceleration due to the gravity of the moon is .At a distance from the center of the moon equal to three times the radius of the moon,the acceleration due to the gravity of the moon is
A)9
B) /3
C) /4
D) /9
E)27

Question

At the surface of the moon,the acceleration due to the gravity of the moon is  .At a distance from the center of the moon equal to three times the radius of the moon,the acceleration due to the gravity of the moon is
A)9 
B) /3 
C) /4 
D) /9 
E)27

Quizplus · Accepted Answer

The acceleration due to gravity is inversely proportional to the square of the distance from the center of the moon. At a distance from the center of the moon equal to three times the radius of the moon, the distance from the center of the moon would be 4 times the distance from the surface of the moon. Therefore, the acceleration due to gravity at this distance would be (1/4)^2 times the acceleration due to gravity at the surface of the moon. This is equal to 1/16 times the acceleration due to gravity at the surface of the moon, which is approximately 0.625 m/s^2. Therefore, the best choice is D, which is equal to 11eaa331_f52d_8f76_9fad_534223e51b79_TB6079_11 /9.

At the Surface of the Moon,the Acceleration Due to the Gravity