Let's consider a radioactive decay according to the attached figure. A particle of initial mass M and charge Q is resting according to a referential R and disintegrates itself on 3 identical particles. As shown in the picture, 2 of the particles have known speeds 4c/5 and 3c/5 and the other one has speed unknown.
We want to know:
a) whats the charge q of each of the new particles?
b) whats the value of the angle A?
c) whats the value of M/m, where m is the the mass of one of the new particles?
The Attempt at a Solution
I can calculate the x and y components for the 3rd particle speed vector and find out whats the value of A, but I'm not pretty sure how to add the charged Q and q into account while handling with energy or momentum conservation.
Same goes for the new charge q. The exercise says that each of these new particles do have the same charge value q, but I don't know how that value is related to Q.
Any help? :D
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