Question

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

What is the equivalent equation solved for h?
h = P/mg

Answer 1

The equivalent equation for height h in terms of potential energy P, mass m, and gravitational constant g is h = P / (mg), which allows the calculation of the height an object is lifted in a gravitational field based on its potential energy.

Step-by-step explanation:

The question deals with the concept of gravitational potential energy (PEg), which is the energy that an object possesses because of its position in a gravitational field. The equation P = mgh gives us the potential energy of an object, where P is the potential energy in joules, m is the mass in kilograms, g is the acceleration due to gravity (≈ 10 m/s²), and h is the height in meters. To solve the equation for height, h, we rearrange the equation to h = P / (mg), which allows us to determine the height given the potential energy and mass of the object.