Uniform circular motion for proton and 2 particles

AI Thread Summary
The discussion revolves around calculating the kinetic energy of two particles moving in a uniform magnetic field on the same circular orbit as a proton. The user derives the kinetic energy for the proton and then applies the same principles to two additional particles with different charges and masses. The calculations show that the first particle has half the kinetic energy of the proton, while the second particle has the same kinetic energy as the proton. The user seeks confirmation on the correctness of these calculations. The thread highlights the application of uniform circular motion principles in a magnetic field.
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[Note by mentor: This thread does not use the homework template because it was moved here from a non-homework forum.]

Hello,
I have a problem with this exercise. I don't know if my solution is right! Could you check it, please?

A proton with kinetic energy Kp is moving in a uniform magnetic field on a circular orbit.
I have to calculate the energy of two particles moving on the same orbit knowing that:
particle 1 : q=+e, m=2u
particle 2: q=+2e, m=4u

Kp = 1/2 mv^2
v = qBr/m (uniform circular motion).

So

Kp = 1/2 q^2B^2r^2/m

proton: Kp = \frac{1}{2} \frac{e^2B^2r^2}{u}

particle 1: K = \frac{1}{2} \frac{e^2B^2r^2}{2u} = Kp/2

particle 2: K = \frac {1}{2} \frac{4e^22B^2r^2}{4u} = Kp

Is that right?
Thank you
 
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Yes, I think it is right.
 
Thank you.
I'm sorry but I didn't see the Homework section, won't happen again!
 
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