Is gravitational potential inversely proportional to distance and difference between gravitational potential energy and gravitational potential?
Respected Sir,
Rk Naresh
To clarify the concepts of gravitational potential and gravitational potential energy:
In summary:
- Gravitational potential (𝑉V) is the gravitational potential energy per unit mass at a point in a gravitational field, expressed as 𝑉=−𝐺𝑀𝑟V=−rGM.
- Gravitational potential energy (𝑈U) is the energy associated with the gravitational force between two masses, expressed as 𝑈=−𝐺𝑚1𝑚2𝑟U=−rGm1m2.
- Gravitational potential (𝑉V) is inversely proportional to distance 𝑟r from the mass 𝑀M, and it represents the scalar field in a gravitational field, while gravitational potential energy (𝑈U) is the work done in moving masses under the influence of gravity.
Gravitational potential energy at large distances is directly proportional to the masses and inversely proportional to the distance between them. The gravitational potential energy increases as increases. So h is proportional to ΔU., where the distance is inversely proportional to the potential energy. Gravitational potential energy at large distances is directly proportional to the masses and inversely proportional to the distance between them. The gravitational potential energy increases as increases. The magnitude of the gravitational force between two bodies is inversely proportional to the square of the distance between them. Gravitational force and distance are inversely proportional; as the distance between two objects increases, the gravitational force decreases. Gravitational Potential is equal to the potential energy of the unit mass kept at that point. Gravitational Potential Energy is defined as the energy stored in an object that is held in a vertical position due to the force of gravity working on it to pull it down. Gravitational energy is the potential energy associated with gravitational force, as work is required to elevate objects against Earth's gravity. The potential energy due to elevated positions is called gravitational potential energy, and is evidenced by water in an elevated reservoir or kept behind a dam. The relationship can be expressed as: 𝑉=𝑈𝑚V=mUTherefore, gravitational potential energy (𝑈U) is equal to the product of gravitational potential (𝑉V) and the mass (𝑚m): 𝑈=𝑚𝑉U=mV Gravitational potential (𝑉V) is inversely proportional to distance 𝑟r from the mass 𝑀M, following the equation 𝑉=−𝐺𝑀𝑟V=−rGM. Thus, the gravitational potential energy = gravitational potential at a point x mass of the body at that point, where G is universal gravitation constant and M is the mass of the earth and r is the distance of the body from the centre of the earth.
- Badges
- Science topic
- Similar topics
- Agricultural Science
- Agronomy
- Crop Science
- Crop