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

According to the inverse square law of gravity, the acceleration due to gravity is inversely proportional to square of distance from the center of the celestial body. Therefore, the acceleration due to gravity at a distance equal to three times the radius of the moon is:
Acceleration =  (1/3)^2 × Acceleration at the surface of the moon
Acceleration = 1/9 × 11eaa4be_84f8_c9a2_9e4a_59140f2a7464_TB6080_11
Acceleration = 11eaa4be_84f9_3ed6_9e4a_dfdc932c4896_TB6080_11 /9
Hence, the correct choice is D.

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