Understanding Potential Energy

Potential energy (PE) is the energy an object possesses due to its position or configuration. In this case, the hammer's potential energy is related to its height above the ground. The formula for gravitational potential energy is:

PE = mgh

where:

* PE is potential energy (measured in Joules, J)

* m is the mass of the object (in kilograms, kg)

* g is the acceleration due to gravity (approximately 9.8 m/s²)

* h is the height above the reference point (in meters, m)

Calculation

1. Identify the values:

* m = 50.0 kg

* g = 9.8 m/s²

* h = 4.00 m

2. Plug the values into the formula:

PE = (50.0 kg) × (9.8 m/s²) × (4.00 m)

3. Calculate the result:

PE = 1960 J

Answer: The potential energy given to the 50.0 kg hammer when raised 4.00 m is 1960 Joules.