At a distance of 14,000 km from the center of Planet Z-99,the acceleration due to gravity is 32 m/s².What is the acceleration due to gravity at a point 28,000 km from the center of this planet? A)8.0 m/s² B)16 m/s² C)128 m/s² D)4.0 m/s² E)2.0 m/s²

Question

Quizplus · Accepted Answer

The acceleration due to gravity is inversely proportional to the square of the distance from the center of the planet. Doubling the distance (from 14,000 km to 28,000 km) decreases the acceleration by a factor of 4 (since 2^2 = 4), so 32 m/s^2 divided by 4 equals 8 m/s^2.

At a Distance of 14,000 Km from the Center of Planet