## Potential Energy

### Introduction

- It is the energy of an object due to the virtue of its position, configuration and orientation.
- It is denoted by 'u'.
- There are various types of potential energy.

#### Examples of Potential Energy:

- Water stored in dams contain potential energy.
- Elongated or compressed spring also has potential energy.
- Objects placed at a height contain potential energy.
- Two charged particle separated at a distance contain potential energy.

### Gravitational Potential Energy

It is the energy of an object due to its position. Its value is taken as 0 on the surface of the earth. It is given by a formula:

**u = mgh**

u is the potential energy.

m is the mass of the object.

g is the acceleration due to gravity.

h is the height of an object.

####
**Expression:**

work = force * displacement

w = mg * h

(as work = potential energy)

Gravitation al Potential Energy = mgh

####
**Factors affecting gravitational potential energy:**

- It is directly proportional to the mass of the object.
- It is directly proportional to the height of the object.
- It is directly proportional to the acceleration due to gravity.

### Elastic Potential Energy

It is the energy related to spring or elastic chord.

Elastic potential energy is given by a formula:

**u = 1/2 k x^2**

u is the energy

k is constant

x is displacement of spring

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k is constant

x is displacement of spring

You may also like:

Important mathematical constants

Sets, Relation and functions

Pareto's Principle

Zipf's Law

Clock And Calendar

Permutation and Combination

Multiplication(Vedic Maths)

Square Root(Vedic Maths)

Inverse Trigonometric functions

2-D & 3-D GEOMETRY

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