(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

KE = [(m0c^2) / √(1-v^2/c^2)] - m0c^2

E = KE + m0c^2

3. 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

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# Homework Help: Joules required to accelerate 1kg of mass

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