Joule Calculator

Joule Calculator:

Enter the values of mass, m_(kg) and velocity, v_(m/s) to determine the value of Kinetic Energy, K_(J).

Enter Mass :		kg
Enter Velocity:		m/s
Result – Kinetic Energy:		J

Joule Formula:

The Joule is the SI unit of energy, work, or heat. It is defined as the energy transferred to an object when a force of one Newton acts on the object in the direction of the force’s motion for one meter. It is equivalent to one kilogram meter squared per second squared (1 J=1 kg⋅m²/s²).

In terms of kinetic energy, the Joule measures the energy an object has due to its motion. The kinetic energy of an object depends on its mass in kilograms and its velocity in meters per second. Kinetic energy is a scalar quantity and is always positive. It is calculated using the formula:

The formula for kinetic energy is half of the object’s mass multiplied by the square of its velocity. This means that as the velocity increases, the kinetic energy increases quadratically. This relationship highlights the importance of velocity in determining the energy of a moving object.

The units of kinetic energy are kilograms for mass, meters per second for velocity, and Joules for the final energy. This formula applies to objects in linear motion and can be extended to rotational motion using angular velocity and moment of inertia.

Kinetic Energy, K_(J)in Joules is half of the mass, m_(kg)in kilograms, multiplied by the square of the velocity, v_(m/s) in metres per second.

Kinetic Energy, K_(J) = 0.5 * m_(kg) * v²_(m/s)

K_(J) = kinetic energy in Joules, J.

m_(kg) = mass in kilogram, kg.

v_(m/s) = velocity in metres per second, m/s.

Joule Calculation:

1.A car with a mass of 1000kg is moving at a velocity of 20m/s. Calculate its kinetic energy.

Given: m_(kg) = 1000kg, v_(m/s) = 20m/s.

Kinetic Energy, K_(J) = 0.5 * m_(kg) * v²_(m/s)

K_(J) = 0.5 * 1000 * 20²

K_(J) = 0.5 * 1000 * 400

K_(J) = 200000J.

2.A ball with a mass of 2kg has a kinetic energy of 50J. Calculate its velocity.

Given: m_(kg) = 2kg, K_(J) = 50J.

Kinetic Energy, K_(J) = 0.5 * m_(kg) * v²_(m/s)

v_(m/s) = √(2 * K_(J) / m_(kg))

v_(m/s) = √(2 * 50 / 2)

v_(m/s) =√50

v_(m/s) = 7.07m/s.