At which position, A or B, is the potential energy of the swing the greatest? As the swing moves from point B to point A, which form of energy is increasing, kinetic or potential?

a)  Ua> Ub,  b) Em = K + U

Explanation:

A swing is an oscillatory system, which goes from the highest point of the trajectory to the lowest point and then continues to the highest point on the other side, with a curved trajectory.

Suppose point A is the highest point and point A the lowest point, as the potential energy is given by the formula

              U = m g h

if we define a reference system where the lowest point corresponds to y = or at this point the power energy is zero, therefore

              Ua> Ub

in this movement the mechanical or total energy of the system remains constant, therefore it can be written

            Em = K + U

therefore at the highest point the mechanical energy is only potential and at the lowest point it is only kinetic and at the intermediate points it has a part of each, but the value of the mechanical energy is constant and does not change.

scientific laws are the result of testing theories and proving them to be facts.