Kinetic Energy from Change in Velocity

The Kinetic Energy from Change in Velocity calculator computes the kinetic energy (KE) required to change the velocity of a object of a certain mass (m) from an initial velocity (V₁) to a final velocity (V₂).

INSTRUCTIONS: Choose the preferred units and enter the following:

• (m) Mass of Object
• (V₁) Initial Velocity of Object
• (V₂) Final Velocity of Object

Kinetic Energy (KE):  The calculator returns the energy in joules.  However this can be automatically converted to other energy units via the pull-down menu.

The  Math / Science

This is a formula for Kinetic Energy (KE). Kinetic Energy is a scalar quantity.  This equation uses as inputs the mass (`m`) and values for magnitude of its velocity  (`V`). 

Kinetic energy can be assigned a value knowing only the mass of the body and the magnitude of its instantaneous velocity relative to a specified coordinate frame, without regard for how this velocity was attained. Hence, kinetic energy is a property of the body. Since kinetic energy is associated with the body as a whole, it is an extensive property.

Energy Calculators

• Kinetic Energy:                                    `KE= 1/2 *m * v^2`
• Kinetic Energy (change of velocity):    `KE = 1/2*m*(V_1-V_2)^2`
• Relativistic Kinetic Energy:                    `E_K = (m*c^2)/sqrt(1 - v^2"/"c^2") - m*c^2`
• Potential Energy:                                  `U(y) = m*g*y`
• Potential Energy of Gravity (two bodies):   `U(G) = - (G*m1*m2)/r`
• Nuclear Binding Energy:                       `E = m*c^2`
• Quantum Energy (Planck's Equation):   `E = h*f`
• Energy of a Particle in a Box:                `E_n=(n^2h^2)/(8mL^2)`
• Molecular Kinetic Energy:                      `KE = 3/2 * k_B *T`
• Electrostatic Potential Energy:               `E_(el) = k_e * (Q_1*Q_2)/d`
• Photon Energy from Wavelength:          `E = (h*c)/lambda`
• Heat Energy to Change Material Temperature:  `Q = C * m *DeltaT`