Write down the most general forms for the Work-Energy Theorem, the Conservation of Energy, and the relation between Forces and Potential Energies.

Respuesta :

Answer:

Work energy theorem: [tex]W=\Delta KE=\frac{1}{2} m.v_f^2-\frac{1}{2} m.v_i^2[/tex]

Conservation of energy:

This theorem states that energy can neither be created nor be destroyed it can only get converted from one form to another.

[tex]PE=m.g.h[/tex]

Explanation:

Work energy theorem:

It states that the total work done by the sum of all the forces acting on a particle is equal to the change in kinetic energy of the particle.

Mathematically:

[tex]W=\Delta KE=\frac{1}{2} m.v_f^2-\frac{1}{2} m.v_i^2[/tex]

Conservation of energy:

This theorem states that energy can neither be created nor be destroyed it can only get converted from one form to another.

Relation between the Forces and potential energy:

Force here implies the force of gravitation. Potential energy in general means the energy which is contained in a body due to virtue of its position in a field of influence.

Here the field of influence is gravity. So,

[tex]PE=m.g.h[/tex]

where:]

m = mass of the body

g = acceleration due to gravity

h = height of the object from the earth surface