When an object is lifted 12 meters off the ground, it gains a certain amount of potential energy. If the same object is lifted 24 meters off the ground, its potential energy is which of the folowing? The same. B. three times as much. C. four times as much. D. twice as much.

When an object is lifted 12 meters off the ground, it gains a certain amount of potential energy. If the same object is lifted 24 meters off the ground, its potential energy is which of the folowing?

D. twice as much

D. twice as much.

Explanation:

The question varies the potential energy at two different heights.

The formular for potential energy is given as;

P. E = m * g * h

where;

m = mass

g = gravitational force

h = height

In both cases, m and g are both constants so we have;

First Case; P. E = mg * 12 (when h = 12)

Second Case; P. E = mg * 24 (when h = 24)

Comparing both cases, we can deduce that;

Second Case = 2 * First Case.

This means that the potential energy would be twice as much.