Potential Energy: Definition, Types, Derivation

Ans. Consider an object raised to a height of ‘h' above the earth's surface.

r_f = R + h and r_i = R

then

ΔU = GMm 1/R–1/(R+h)

ΔU = GMmh/R(R + h)

When hR, R + h = R, and g = GM/R², R + h = R.

When we add this into the equation above, we get:

Gravitational Potential Energy ΔU = mgh.

Ans. The energy necessary to lead a charge against an electric domain is known as electric potential energy. In joules, this potential energy is measured. The relative position of an object to other electrically charged objects, as well as its own electric charge, determines its electric potential energy. A radio tower that is not in use, a mobile phone that is turned off, or solar cells that are turned off at night are all examples of electric potential energy. U_E = k q1q2/r is the formula for electric potential energy.

where U_E denotes EP energy, k denotes Coulomb Constant, q1 and q2 denote charges, and r denotes the separation distance between them.

Ans. When spring is in its typical position, it is at rest, and when we compress the string, we are working against the spring force. This labor is turned into potential energy and stored. When we let go of the spring, it oscillates and gradually returns to its original position. Working against the elastic force of the spring allows it to be extended. Potential energy is stored as a result of the work done. When we let go of the spring, it returns to its equilibrium state due to its elastic force.

Ans. It's all arbitrary if you're talking about gravitational potential energy, mgh. You can set zero height anyplace you want, and hence the level of zero potential energy anywhere you choose. If you set the zero-energy level to h=0, the quantity of potential energy it has will be affected by its height.

Ans. Things falling to the ground appear so natural that we overlook the fact that the Earth's gravity field is at work lowering a thing from its lofty location to the ground. Potential energy is a measure of it, and the formula E = mgh is just a work equation, with F = mg and mg x h representing force x distance. As a result, moving a larger object involves more effort, and hence the potential energy is higher.

Ans. Based on its shell displacement from the atomic nucleus, an electron has potential energy.

When a spring watch is fully wound, it contains potential energy stored in the spring. To make the watch balance wheel run, this energy is released as kinetic energy.

As well as other things.

Ans. The time when the ball first departed the ground,

PE=0 because the height is zero.

The KE that transforms to PE at the topmost point following the initial bounce from the floor is KE= 7 J.

As a result, total mechanical energy = KE + PE = 7J.

This is an example of an inelastic collision, in which KE is converted to another kind of energy, such as heat, due to friction. As a result, 3 J has been lost.

Ans. In a nucleus, binding energies are frequently negative (in the sense that the total mass of the bound neutrons and protons is less than their individual unbound masses). Quarks, on the other hand, have positive binding energies in a proton or neutron. The binding energies of the quarks account for the majority of the mass of a proton or neutron.

Ans. The gravitational potential energy is the product of a body's mass, acceleration due to gravity, and height from the earth's surface (unless it is not very great, in which case we must account for the resulting decrease in gravity g), which is not the case here.

As a result, the correct solution is 8*0.45*9.8 Joules = 35.28 Joules.

Ans. Near the earth's surface, potential energy is negative, as shown by U=-GMm/R, since potential energy is inversely related to distance. PE becomes less negative as we move away from the earth's surface, increasing to a maximum of (0) at infinity.