Question

What are potential energy and kinetic energy. Drive expression for them​

Answer 1

Derivation for the equation of Potenstial Energy: Let the work done on the object against gravity = W Work done, W = force × displacement Work done, W = mg × h Work done, W = mgh Since workdone on the object is equal to mgh, an energy equal to mgh units is gained by the object . This is the potential energy (Ep) of the object. Ep = mgh Derivation for the equation of Kinetic Energy: The relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, S is v2 - u2 = 2aS This gives S = v 2 - u 2 2a We know F = ma. Thus using above equations, we can write the workdone by the force, F as W = ma × v 2 - u 2 2a or W = 1 2 m( v 2 - u 2 ) If object is starting from its stationary position, that is, u = 0, then W = 1 2 m v 2 It is clear that the work done is equal to the change in the kinetic energy of an object. If u = 0, the work done will be W = 1 2 m v 2 . Thus, the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is Ek = ½ mv2

Energy is the ability to do work. ... The measurement of kinetic energy in an object is calculated based on the object's mass and velocity. It is measured in Joules. Potential energy is a form of energy that results from an object's position or arrangement of parts. It is stored energy that can become kinetic energy.