What are the steps to set up this type of problem? The work done by an external

Question

What are the steps to set up this type of problem?
The work done by an external force to move a -8.5Ccharge from point A to point B is 15.0*10-4J. If thecharge was started from rest and had 4.82*10-4J ofkinetic energy when it reached point B, what must be the potentialdifference between points a and b? What are the steps to set up this type of problem?
The work done by an external force to move a -8.5Ccharge from point A to point B is 15.0*10-4J. If thecharge was started from rest and had 4.82*10-4J ofkinetic energy when it reached point B, what must be the potentialdifference between points a and b?

Explanation / Answer

Here we must use the work- energy theorem , i.e. net work done = change in energy Also change in energy = final energy - initial energy                                = change in potential energy + change in kinetic energy Here change in kinetic energy = final - initial kineticenergy = 4.82*10-4 - 0 = 4.82*10-4 J Work done = 15.0 *10-4 J Putting the values 15.0 *10-4 J = change in potential energy +4.82*10-4 J =>change in potential energy = 10.18*10-4 J Also potential difference = potential energy / charge =10.18*10-4 J / (-8.5*10-6 )=-1.2*102 V

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