Enter the mass (kg) and the velocity (m/s) into the calculator to determine the Relativistic Energy.
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Relativistic Energy Formula
The following equation is used to calculate the Relativistic Energy.
KE = m*c^2 * (SQRT(1-V^2/C^2)-1)
- Where KE is the Relativistic Energy (Joules)
- m is the mass (kg)
- V is the velocity (m/s)
- c is the speed of light (299,792,458 m/s)
How to Calculate Relativistic Energy?
The following two example problems outline the steps and information needed in order to calculate the Relativistic Energy.
Example Problem #1:
- First, determine the mass (kg). In this example, the mass (kg) is measured to be 95.
- Next, determine the velocity (m/s). For this problem, the velocity (m/s) is calculated to be 4.
- Finally, calculate the Relativistic Energy using the formula above:
KE = m*c^2 * (SQRT(1-V^2/C^2)-1) = (Joules)
Inserting the values from above and solving the equation with the imputed values gives:
KE = 95*299792458^2 * (SQRT(1-4^2/299792458^2)-1)
Example Problem #2:
Using the same process as example problem 1, we first define the needed variables outlined by the formula. In this case, the values are provide as:
mass (kg) = 93
velocity (m/s) = 3
Entering these values into the formula or calculator above gives us:
KE = 93*299792458^2 * (SQRT(1-3^2/299792458^2)-1) = (Joules)