As an object falls, how are kinetic and potential energy related?(1 point)

Responses

Potential energy will decrease in an amount equal to the increase in kinetic energy.
Potential energy will decrease in an amount equal to the increase in kinetic energy.

The amount of potential energy and kinetic energy each will remain the same.
The amount of potential energy and kinetic energy each will remain the same.

These are different forms of energy that will increase or decrease independent of each other.
These are different forms of energy that will increase or decrease independent of each other.

Both potential energy and kinetic energy will increase equally as the object accelerates.

Potential energy will decrease in an amount equal to the increase in kinetic energy.

The correct response is:

Potential energy will decrease in an amount equal to the increase in kinetic energy.

To understand why this is the case, we need to know what potential energy and kinetic energy are. Potential energy is the energy possessed by an object due to its position or state. In the case of an object falling, potential energy is stored in the object due to its height above the ground.

On the other hand, kinetic energy is the energy possessed by an object due to its motion. It depends on the mass and velocity of the object. As an object falls, it gains velocity and its kinetic energy increases.

Now, as the object falls and loses height, its potential energy decreases. This decrease in potential energy is directly converted into an increase in kinetic energy. The total energy of the system (the combination of potential and kinetic energy) remains constant, but the energy is being transfered from potential to kinetic as the object falls.

So, the correct answer is that potential energy will decrease in an amount equal to the increase in kinetic energy. This is known as the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred or converted from one form to another.

Potential energy and kinetic energy are related in the following way:

- As an object falls, potential energy will decrease in an amount equal to the increase in kinetic energy. This means that as the object gains speed and accelerates towards the ground, its potential energy, which is based on its height above the ground, will decrease. At the same time, its kinetic energy, which is based on its motion, will increase. This relationship between potential energy and kinetic energy allows for the conservation of total mechanical energy as the object falls. So, the correct answer is the first option: "Potential energy will decrease in an amount equal to the increase in kinetic energy."