Question

The acceleration due to gravity on earth will decrease as which of the following occurs. The mass of the object decreases. The distance of the object to the center of the earth increases. The acceleration due to gravity is constant. The distance of the object to the center of the earth decreases.

Answer 1

Answer:

The distance of the object to the center of the earth increases.

Explanation:

The acceleration due to gravity on Earth is given by:

$g=\frac{GM}{r^2}$

where

G is the gravitational constant

M is the Earth's mass

r is the distance of the object from the Earth's centre

We notice that:

- g does not depend on the mass of the object

- g is inversely proportional to r

This means that if the distance of the object from the Earth's centre increases, g decreases. So, the correct option is

The distance of the object to the center of the earth increases.