Which statement best describes the relationship between potential energy and an object's height?

The correct answer highlights a fundamental principle in physics: the relationship between an object's height and its potential energy. Potential energy, specifically gravitational potential energy, is calculated using the formula ( PE = mgh ), where ( PE ) is potential energy, ( m ) is mass, ( g ) is the acceleration due to gravity, and ( h ) is the height above a reference point.

As the height ( h ) increases, the potential energy (PE) also increases, provided that the mass (m) and the acceleration due to gravity (g) remain constant. This means that lifting an object to a higher position gives it more potential energy because it has the potential to do more work when it falls back down.

This relationship is crucial for understanding concepts in mechanics and energy conservation. The other options do not accurately reflect the scientific principles regarding potential energy and height. For instance, potential energy does not decrease with height, nor is it constant, and it certainly has a strong relationship with height, as established by the formula.