Understanding the Concepts

* Gravitational Potential Energy (GPE): The energy an object possesses due to its position in a gravitational field. It depends on the object's mass, the acceleration due to gravity, and its height above a reference point (usually the ground).

* Formula: GPE = mgh, where:

* m = mass (kg)

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

* h = height (m)

Solving the Problem

1. Identify the known values:

* GPE = 58.5 J

* m = 2 kg

* g = 9.8 m/s²

2. Rearrange the formula to solve for height (h):

* h = GPE / (mg)

3. Substitute the known values and calculate:

* h = 58.5 J / (2 kg * 9.8 m/s²)

* h ≈ 3 m

Answer: The block is approximately 3 meters above the floor.