How does potential energy increase with increase in height. What is the logic.
Potential energy is actually the indicating value that how much kinetic energy an object can gain under a free fall from it’s current position.
So more height means the object will have more time to fall, and will gain more speedas a result of gravity. And more speed implies a greater kinetic energy.
Hence, the object has a more potential to generate kinetic energy if placed higher. As the object starts falling, potential energy is converted into kinetic energy gradually with the rate of gravity/acceleration, but total energy(PE+KE) of the object remains constant under ideal conditions. I hope this non mathematical explanation helps.
Again: “Potential energy” is the indication of potential of an object to gain kinetic energy and implies to the maximum value of energy it can gain in kinetic form under a free fall.