Relativistic Energy Calculator:

Enter the values of Mass m_(kg), Speed of Light c_(m/s), Velocity V_(m/s) to determine the value of Relativistic Energy KE_(J).

Relativistic Energy Formula:

The Relativistic Energy KE_(J) in Joules is Equal to the Mass m_(kg) in kilogram and Multiply the Speed of Light c_(m/s) in meter per second and is SQRT of the 1 into Subtracted by the Velocity V_(m/s) in meter per second and is squared and Divided by the Speed of Light c_(m/s) in meter per second and is squared and Subtracted by the -1.

The Equation of Relativistic Energy can be written as,

KE_(J) = m_(kg) * c²_(m/s) * (SQRT ( 1 – V²_(m/s) / c²_(m/s)) – 1)

Here,

KE_(J) = Relativistic Energy in Joules

m_(kg) = Mass in kilogram

c_(m/s) = Speed of Light in meter per second

V_(m/s) = Velocity in meter per second

Relativistic Energy Calculation:

1) Calculate the Relativistic Energy and given for the Mass = 100kg, Speed of Light = 299792458m/s, Velocity = 5m/s.

Answer

KE = m * c² * (SQRT (1 – V² / c²) – 1)

KE = 100 * 299792458² * (SQRT (1 – 5² / 299792458²) -1)

 KE = 374740579774 Joules.

2) Calculate the Velocity and given for the Mass = 100kg, Speed of Light = 299792458m/s, Relativistic Energy = 374740579774 Joules.

Answer

KE = m * c² * (SQRT (1 – V² / c²) – 1)

374740579774 = 100 * 299792458² * (SQRT (1 – V² / 299792458²) -1)

V = 5 m/s.

Relativistic Energy: