Asked by Sam
How much work W must be done on a particle with a mass of m to accelerate it from a speed of 0.905c to a speed of 0.980c?
Ok I know that you compute the Lorenz factor gamma but my question is what value would you use for the v? And do you minus anything from it after that?
Ok I know that you compute the Lorenz factor gamma but my question is what value would you use for the v? And do you minus anything from it after that?
Answers
Answered by
drwls
Subtract the particle energy at 0.905c from the (higher) energy at 0.980c.
They have already told you the v's. When you divide by c in the Lorentz-factor, you will get v/c values of 0.980 and 0.905.
The energy at speeed v is
m c^2 / sqrt[1 - (v/c)^2]
That includes the rest-mass energy.
They have already told you the v's. When you divide by c in the Lorentz-factor, you will get v/c values of 0.980 and 0.905.
The energy at speeed v is
m c^2 / sqrt[1 - (v/c)^2]
That includes the rest-mass energy.
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