Question

When an object is lifted 8 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 A. three times as much. B. six times as much. C. the same. D. twice as much.

Answer 1

A

Step-by-step explanation:

When an object is lifted to a certain height, it gains potential energy, which is given by the formula mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height to which the object is lifted.If an object is lifted 8 meters off the ground, its potential energy is mgh = mg(8) = 8mg.

If the same object is lifted 24 meters off the ground, its potential energy is mgh = mg(24) = 24mg.

So, the potential energy of the object when lifted 24 meters off the ground is three times as much as when it is lifted 8 meters off the ground.

Therefore, the correct answer is A. three times as much.

Answer 2

D. Twice as much.

The potential energy of an object is given by the formula:

PE = mgh

where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above some reference point.

If the height is tripled (from 8 to 24 meters), then the potential energy is doubled (since h is doubled).