Question

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

Answer 1

Work energy theorem:
`W=\Delta KE=(1)/(2) m.v_f^2-(1)/(2) m.v_i^2`

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.

`PE=m.g.h`

Step-by-step 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:

`W=\Delta KE=(1)/(2) m.v_f^2-(1)/(2) m.v_i^2`

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,

`PE=m.g.h`

where:]

m = mass of the body

g = acceleration due to gravity

h = height of the object from the earth surface