## Potential Energy

Potential energy is the type of energy possessed by a body due to its position. A stone on the ground does not have energy so long as it is lying on the ground. The stone cannot be seen doing any work. However, if a stone is on a table and it is placed on a table and it falls off, it can break a lamp on which it falls, the stone has done some work by its position.

Table of Contents

Therefore, when the stone is on the table, it has energy stored up as a result of its position. This energy increases as the height of the table increases and it decreases as it falls towards the ground. When it reaches the ground, it has zero potential energy.

**KINETIC ENERGY**

This is the energy possessed by a moving body. For example, a moving car, a man running, a falling orange, a fired bullet, a rolling ball and so on all possess kinetic energy. Both forms of energy are examples of a more general form of energy called **MECHANICAL ENERGY.**

Kinetic energy (K.E) is the energy possessed by an object due to its motion i.e. movement energy âˆšK.E=1/2mv^{2}

Where M is the mass of the moving object

V is the velocity of the object.

Potential energy is the energy possessed by an object by its position at rest (its height). Potential energy is stored energy.

P.E = m.g.h.

M is the mass of the object;

g is the acceleration due to gravity, and

h is the height of the object from the ground.

**Example1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **

If the mass of an object is 6kg and the height is 5m. Calculate the potential energy (Assuming g=10m/s^{2})

Solution

P.E = m.g.h

M = 6k.g

H = 5m

G =10m/s^{2}

P.E = 6x5x10

=300J

**Example 11**

If the kinetic energy of a ball moving at a velocity of 10m/s^{2} is 50KJ.What is the mass of the ball?

**Solution**

K.E = 1/2mv^{2}

K.E = 50KJ = 50,000J

Velocity = 10m/s^{2}

50,000 = 1/2x mx10^{2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â }

i.e. 50,000 = 1/2x 100m

=1/2x100m

50,000 = 50m

50m = 50,000

M = 50,000/50

=1000Kg

## EVALUATION

1.Energy is measured in ————— while distance is measured in ———-

2. Mgh is a mathematical formula in basic science that is used to calculate ———–in a body

3. The energy possessed by a body by its position is called

- potential b. Kinetic c. Food d. Muscular

SECTION B

1. Explain the meaning of the following.

- Potential Energy ii. Kinetic Energy.

2. What type of energy does the sun transmit to the Earth?

- If a force of 50N is used to move an object through 20 meters within 5 seconds, Calculate the power of the object.

2c. A man of mass 90kg is moving at a constant velocity. He has a kinetic energy of 2205J. Calculate the velocity at which he moves.

See also

WORK, ENERGY, AND POWER

SKILL ACQUISITION

Electrical Energy

Magnetism

SOUND ENERGY