Not sure what you mean by 'rate of gravity'. All objects with mass are attracted to the Earth's centre by a force proportional to the mass of the object. The constant called the gravitational constant produces a downward acceleration of any free falling object of 9.81 meters/sec2, called G. The force on the object is equal to its mass M times G, ie MG Newtons. Now energy equals (force x distance) so if you raise an object H meters, the energy used to do this is MG x H Joules. This then becomes its Potential Energy, potential because this energy is available to do work if the object is allowed to fall. So the object on the shelf has potential energy, the amount being dependent on how far it is going to fall if the shelf is suddenly removed. Obviously potential energy is relative to the level of the observer or the base line.
There is Mechanical Energy. This Mechanical Energy equals Potential + Kinetic Energies. At the maximum heigh and with the pendulum set still there is the maximum Potential Energy (so Kinetic equals 0, and Potential Energy equals Mechanical Energy). When we release the pendulum this Potential Energy transforms into Kinetic Energy which will be maximum and equal to the Mechanical Energy when the 'rope' or 'string' that holds the pendulum is in the same direction as the acceleration, or force, in this case gravity. Then, and if there is no friction (e.g. air) the pendulum will reach the same maximum heigh that it had in X0 and the Kinetic Energy will transform into Potential, reinitiating the process but in the opposite direction. Hope i helped and sorry for my english. :)
The equation (PE = mgh) represents the potential energy of an object near the surface of the Earth, where (PE) is the potential energy, (m) is the mass of the object, (g) is the acceleration due to gravity, and (h) is the height of the object above the reference point.
Yes, the total mechanical energy of a system remains constant even when the kinetic energy equals the potential energy. This is known as the conservation of mechanical energy.
Potential energy equals kinetic energy in a system when all of the potential energy has been converted into kinetic energy, typically at the lowest point of a system's motion.
Kinetic energy equals potential energy in a system when the object is at its highest point, such as when it reaches the peak of its motion.
PE=MGH means the potential energy equals to the mass times the gravity times the height
Because they are not mutually exclusive. Take for example a falling object; while falling at a given velocity it has (.5)(mass)(velocity)2=Kinetic Energy but also has the potential energy of whatever distance it has yet to fall, which equals (mass)(gravity)(height)=Potential Energy These two types of energy equal the Total Energy of the falling object, which never changes as it falls.
Gravitational-potential energy.
Potential energy is due to its position relative to Earth. Energy equals to force times distance; figure mass times acceleration due to gravity equals force (close enough). The horizontal aspects of motion are irrelevant in this problem.
Well, honey, that book on the high shelf has more potential energy because it's got farther to fall. Gravity's just itching for the chance to show off its power and send that book plummeting down to the ground. So, the higher the book, the more potential energy it's got stored up just waiting to be unleashed.
There is Mechanical Energy. This Mechanical Energy equals Potential + Kinetic Energies. At the maximum heigh and with the pendulum set still there is the maximum Potential Energy (so Kinetic equals 0, and Potential Energy equals Mechanical Energy). When we release the pendulum this Potential Energy transforms into Kinetic Energy which will be maximum and equal to the Mechanical Energy when the 'rope' or 'string' that holds the pendulum is in the same direction as the acceleration, or force, in this case gravity. Then, and if there is no friction (e.g. air) the pendulum will reach the same maximum heigh that it had in X0 and the Kinetic Energy will transform into Potential, reinitiating the process but in the opposite direction. Hope i helped and sorry for my english. :)
It equals basic energy
The equation (PE = mgh) represents the potential energy of an object near the surface of the Earth, where (PE) is the potential energy, (m) is the mass of the object, (g) is the acceleration due to gravity, and (h) is the height of the object above the reference point.
Potential Energy
Ep is potential energy of a mass, m ,in gravity field, g ,at height of h above a reference ground
Potential energy is highest at the dead top of the highest point on the roller coaster. It is lowest at the lowest point. Kinetic energy (motion energy) is highest at the point where the velocity is highest. This depends on the design. A good guess is dead bottom of the longest fall, but on a complex coaster ride there are other possibilities. Also, air resistance and friction can change this.
Yes, the total mechanical energy of a system remains constant even when the kinetic energy equals the potential energy. This is known as the conservation of mechanical energy.