Understanding the Concepts

* Potential Energy: Energy stored due to an object's position or configuration. For a pile driver, this is mostly gravitational potential energy (PE = mgh, where m is mass, g is acceleration due to gravity, and h is height).

* Kinetic Energy: Energy possessed by an object due to its motion (KE = 1/2 mv², where m is mass and v is velocity).

* Conservation of Energy: In a closed system, energy cannot be created or destroyed, only transformed from one form to another.

Applying the Concepts

Since the pile driver undergoes a decrease in potential energy, this energy is transformed into kinetic energy. Therefore:

* Decrease in Potential Energy = Gain in Kinetic Energy

Calculation

We know the decrease in potential energy is 10 kJ (10,000 Joules). Therefore, the gain in kinetic energy is also 10,000 Joules.

Answer

The kinetic energy of the ram pile driver will be 10,000 Joules (10 kJ) when it undergoes a 10 kJ decrease in potential energy.