- #1
ally1h
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Homework Statement
how many joules of energy are required to accelerate 1 kg of mass from rest to a velocity of 0.866c?
I tried the relativistic kinetic energy equation, but I feel like it's totally incorrect.
Homework Equations
KE = [(m0c^2) / √(1-v^2/c^2)] - m0c^2
E = KE + m0c^2
The Attempt at a Solution
KE = [(1 kg*m^2/s^2) / √(1 - (0.866c)^2)] - (1 kg*m^2/s^2)
KE = [(1 kg*m^2/s^2) / √(1 -0.75 m^2/s^2) - (1 kg*m^2/s^2)
KE = [(1 kg*m^2/s^2) / (0.5 m/s)] - (1 kg*m^2/s^2)
KE = 2 kg*m/s - 1 kg*m^2/s^2
KE = 1 J