Understanding the Relationship

* Kinetic Energy (KE): The energy an object possesses due to its motion.

* Mass (m): The amount of matter in an object.

* Velocity (v): The speed and direction of an object's motion.

The Formula

The relationship between kinetic energy, mass, and velocity is expressed by the following equation:

KE = (1/2) * m * v²

Solving for Velocity (v)

1. Rearrange the equation:

To isolate velocity, we need to get 'v' by itself. Divide both sides of the equation by (1/2) * m:

v² = (2 * KE) / m

2. Take the square root:

To get 'v', take the square root of both sides:

v = √((2 * KE) / m)

Example

Let's say an object has a mass (m) of 10 kg and a kinetic energy (KE) of 500 Joules. To find its velocity:

1. Plug in the values:

v = √((2 * 500 J) / 10 kg)

2. Calculate:

v = √(100 J/kg)

v = 10 m/s

Therefore, the velocity of the object is 10 meters per second.