If an object is raised from 10 feet to 20 feet above the ground, how is its potential energy affected?

To understand how the potential energy of the object is affected by being raised from 10 feet to 20 feet above the ground, it’s important to look at the formula for gravitational potential energy, which is given by:

[ PE = m \cdot g \cdot h ]

where ( PE ) is the potential energy, ( m ) is the mass of the object, ( g ) is the acceleration due to gravity, and ( h ) is the height above the ground.

When the object is raised from a height of 10 feet to a height of 20 feet, the height ( h ) in the formula is doubled (from 10 to 20 feet). Since potential energy is directly proportional to the height, if the height is doubled, the potential energy also doubles, given that the mass and gravitational acceleration remain constant.

Hence, the potential energy increases by a factor of 2 when the object is raised from 10 feet to 20 feet above the ground.