Potential and kinetic energy are at play when we talk about Newton's second law of motion through the various positions in relation to the bodies involved.
<h3>What is Newton's second law of motion?</h3>
This law states that force is equal to the rate of change of momentum and is denoted as F = mv where m is mass and v is velocity.
Potential energy is the energy is possessed by a body by virtue of its position while kinetic energy is possessed by a body by virtue of its motion. Both forms of energy are influenced by forces and are equal to the total momentum.
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As we know that electrostatic force is a conservative force
so we can say by the condition of conservative force
here we can rearrange the above equation as
now integrate both sides
Now we know by the definition of work done by a force is given by
now work done by conservative force is given as
Now from above work done by electric field to move charge from one point to other is given as
so here work done is given as
so change in potential energy is given by work done