Is potential spring energy = kinetic energy + work
No, potential spring energy is not equal to kinetic energy plus work.
The potential energy of a spring, which is the energy stored in a compressed or stretched spring, is given by the formula:
Potential Spring Energy = (1/2) * k * x^2
where k is the spring constant and x is the displacement from the equilibrium position.
Kinetic energy, on the other hand, is the energy of an object due to its motion, and is given by the formula:
Kinetic Energy = (1/2) * m * v^2
where m is the mass of the object and v is its velocity.
Work, in physics, refers to the energy transferred to or from an object through the application of a force over a distance. The formula for work is:
Work = force * distance * cos(theta)
where force is the applied force, distance is the distance over which the force is applied, and theta is the angle between the force and the direction of displacement.
So, the potential spring energy is a separate form of energy from kinetic energy and work. However, work can be done on a spring to change its potential energy, or the potential energy can be converted into kinetic energy as the spring is released.