Gravitational energy or gravitational potential energy is the potential energy a massive object has in relation to another massive object due to gravity. It is the potential energy associated with the gravitational field, which is released (converted into kinetic energy) when the objects fall towards each other.

The potential energy stored in the spring is given by U=-\dfrac {1} {2}kx^2. U = −21kx2. Let's start with the proof. Let's start with the derivation of the above equation. Let the spring be stretched through a small distance dx dx.

Potential energy is particularly useful for forces that change with position, as the gravitational force does over large distances. In Potential Energy and Conservation of Energy, we showed that the change in gravitational potential energy near Earth’s surface is. ΔU = mg(y2 − y1)

V α I That is, the potential difference (PD) across the ends of a conductor is directly proportional to the current – which is Ohm’s law. Expressing equation 5 in terms of Ohm’s law, we can write, V = R I, where R = [ (mL)/ (ne 2 τA)] Thus, using drift velocity equations we can derive Ohm’s Law. (following class 12 syllabus – ISC, CBSE, etc.)

To understand the state of motion, there are some equations that are derived by using the entities like displacement, movement, velocity, speed, and acceleration. The relation between these terms is often called the equations of motion. Equations of Motion [Click Here for Sample Questions]

The equation that describes the relationship between the current (I) in a conductor and the drift velocity (v) is as follows: I = nAve where A = area of cross-section of the conductor, n = number of charge carriers (electrons) per cubic meter, e = charge on each charge carrier (electron), and v = drift velocity of charge carrier electron.