Kinetic Energy Calculator

Kinetic Energy (KE):

“The change in kinetic energy is possessed due to the motion or movement of any object.”

Therefore, it can be defined as the work required to move a body of a given mass from rest to its stated velocity.

Kinetic Energy Formula:

The kinetic energy formula describes the association between the mass of an object and its velocity.  The kinetic energy equation is: $$KE = \dfrac{1}{2}mv^2$$

Where:

• m is repressing the mass of any object
• v represents the velocity of the object.

The maximum Kinetic Energy Calculator utilizes the formula KE = (1/2)mv2, the KE equals one-half of the mass (m) times velocity squared (v2). 

Find M, Given KE and V:

• Calculate "m" given Kinetic energy and "v"
• Mass m equals 2 times kinetic energy divided by velocity squared v2
• The kinetic and potential energy are interconvertible to each other 

$$m = \dfrac{2KE}{v^2}$$

Find V, Given KE and m:

• Calculate "v" given Kinetic energy and "m"
• Velocity v equals the square root of KE divided by one-half of the "m"
• Initial and final Kinetic energy are different due to the position and velocity of an object $$v = \sqrt{\dfrac{KE}{\frac{1}{2}m}}$$

How to Calculate Rotational Kinetic Energy?

The formula for rotational kinetic energy is:

\[ KE_\text{rotational} = \frac{1}{2} I \omega^2 \]

Where:

• \( I \) = Moment of Inertia
• \( \omega \) = Angular velocity

Enter the Moment of Inertia and Angular Velocity in the rotational kinetic energy calculator to calculate the KE of rotating objects.

Example:

Find the kinetic energy of an object with mass \(23 \, \text{kg}\) moving at \(23 \, \text{m/s}\).

Given:

• Mass, \( m = 23 \, \text{kg} \)
• Velocity, \( v = 23 \, \text{m/s} \)

Solution:

Using the formula for translational kinetic energy (linear motion):

\[ KE = \frac{1}{2} m v^2 \]

Substitute the values:

\[ KE = \frac{1}{2} \times 23 \times 23^2 \]

Calculate:

\[ KE = 6083.5 \, \text{J} \]

So, the kinetic energy of the object is \( KE = 6083.5 \, \text{J} \).

References:

From Wikipedia, the free encyclopedia - In physics, the kinetic energy (KE) - History and etymology –Overview - Newtonian kinetic energy From the source of Wikihow – Recently updated - Co-authored by wikiHow Staff - How to Calculate Kinetic Energy