How does the change in velocity v affect the kinetic energy KE )?
Kinetic energy depends on the velocity of the object squared. This means that when the velocity of an object doubles, its kinetic energy quadruples.
Is MGH positive or negative?
But it does however make intuitive sense that mgh is non negative, as it represents the amount of work the gravitational force can do; When we move something higher up the more it can fall, and falling is precisely the work done by the gravitational force on an object.
What is the relation between gravitational force F and potential V?
Potential energy for a small mass near a big one (say a planet) is mass times g [force of gravity] times height. Potential energy is always relative to a point of reference, in this problem that is usually the earth’s surface. Energy is force times distance, and force = mass* acceleration, and gravity is acceleration.
What is the relation between gravitational force and potential?
Potential energy is equal (in magnitude, but negative) to the work done by the gravitational field moving a body to its given position in space from infinity. If the body has a mass of 1 kilogram, then the potential energy to be assigned to that body is equal to the gravitational potential.
What is the difference between universal gravitational constant and acceleration due to gravity?
The Universal gravitational constant is defined as the force of attraction between two objects with unit mass separated by a unit distance at any part of this universe. Acceleration gravity is defined as the acceleration experienced by a body under free fall due to the gravitational force of the massive body.
What is the value of U = -GMm/r?
U = mgh applies only for a uniform field, so it does not apply here where the field goes as 1/r2. F = -dU/dr ΔU = – ∫F dr This gives U = -GmM/r, if we define the potential energy to be zero at r = infinity.
What is the value of gravitational potential in the spherical shell?
Consider a thin uniform spherical shell of the radius (R) and mass (M) situated in space. Now, As E = 0, V is a constant. The value of gravitational potential is given by, V = -GM/R. On the surface of the earth, E = -GM/R 2. Gravitational Potential (V) = -GM/R. Outside the spherical shell, E = -GM/r 2. V = -GM/r.
What is the general form of gravitational potential energy?
Gravitational Potential Energy. We know that the magnitude of the gravitational force is given by: F = -GmM/r2. Use the connection between force and potential energy to determine the general form of gravitational potential energy. U = mgh applies only for a uniform field, so it does not apply here where the field goes as 1/r2.
Does the mass of an object affect potential energy?
Not at all – all that matters is how the potential energy changes. If a mass moves from close to an object to further away, the potential energy changes from a larger negative number to a smaller one – this is an increase, as we expect. Is this consistent with the mgh we used for potential energy near the surface of the Earth?