Let\'s presume that the goal is to collide two protons as calculated in the lect
ID: 1444201 • Letter: L
Question
Let's presume that the goal is to collide two protons as calculated in the lecture in order to produce two new particles called "X." Each X has a mass of 2.0 times that of a proton, so its rest energy is Em(X) = 2.0 Mp c2. Note that as in lecture, the scale of energies is in units of the rest energy of the proton. How much kinetic energy should each beam have in units of the rest energy of the protons in order to not only produce two X's, but also to have a total of 1 Mp c2 -worth of kinetic energy left over so the X's can move once they are produced?
Explanation / Answer
2 Protons collide to produce 2 X which has double mass of proton
Em(X) = 2mpc2
Total Energy for 2 X is 4mpc2
Hence net K.E. for producing 2 X = 4mpc2 - mpc2 = 3mpc2
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