# How can you calculate the gravitational potential energy of a mass?

## How can you calculate the gravitational potential energy of a mass?

Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules. PE = lbs x ft = ft lb.

What is mass in gravitational potential energy?

Gravitational potential energy is one type of potential energy and is equal to the product of the object’s mass (m), the acceleration caused by gravity (g), and the object’s height (h) as distance from the surface of the ground (the body).

What is the formula of mass in potential energy?

PEgrav = m *• g • h In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) – sometimes referred to as the acceleration of gravity.

### How is mass related to potential energy?

The amount of gravitational potential energy an object has depends on its height and mass. The heavier the object and the higher it is above the ground, the more gravitational potential energy it holds. Gravitational potential energy increases as weight and height increases.

What formula is MGH?

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

How do you calculate gravitational potential energy?

#### What does ek 1 2mv2 mean?

Kinetic Energy Formula. The Kinetic energy is the energy that an object has due to its motion. Ek, is the energy of a mass, m, in motion, v2. Ek = 1/2 mv2.

How do you calculate change in gravitational potential energy?

The change in gravitational potential energy, ΔPEg, is ΔPEg = mgh, with h being the increase in height and g the acceleration due to gravity. The gravitational potential energy of an object near Earth’s surface is due to its position in the mass-Earth system.

Is gravitational potential energy proportional to mass and height?

Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational potential energy. A tripling of the height will result in a tripling of the gravitational potential energy.

## What unit is kg/m2 s2?

joule
The joule (J) is the SI unit of energy and equals (kg×m2s2) ( kg × m 2 s 2 ) .