Question

Proof law of mechanical energy

Answer 1

A satellite is orbiting the Earth influenced only by the conservative gravitational force; its mechanical energy is therefore conserved. The satellite’s acceleration is represented by the green vector and its velocity is represented by the red vector. If the satellite’s orbit is an ellipse the potential energy of the satellite, and its kinetic energy, both vary with time but their sum remains constant.
In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the energy associated with the motion and position of an object. The principle of conservation of mechanical energy states that in an isolated system that is only subject to conservative forces, the mechanical energy is constant. If an object is moved in the opposite direction of a conservative net force, the potential energy will increase and if the speed (not the
velocity) of the object is changed, the kinetic energy of the object is changed as well. In all real systems, however, nonconservative forces, like frictional forces, will be present, but often they are of negligible values and the mechanical energy's being constant can therefore be a useful approximation. In
elastic collisions, the mechanical energy is conserved but in inelastic collisions, some mechanical energy is converted into heat. The equivalence between lost mechanical energy (dissipation ) and an increase in
temperature was discovered by James Prescott Joul I hope it helps u