Two particles, each of rest mass mo, travel towards each other at speed 0.5c. Th

Question

Two particles, each of rest mass mo, travel towards each other at speed 0.5c. They collide head-on and stick together without the emission of any other particles. Calculate the value of the Lorentz gamma factor gamma associated with the speed 0.5c. Calculate the total relativistic energy E of the two particles before the collision. Calculate the total relativistic momentum p of the two particles before the collision. Use relativistic conservation laws to calculate the mass M and speed V of the product particle offer the collision.

Explanation / Answer

i) 1/sqrt(1-0.5^2)=1.154. ii)E=gamma*2*mc^2=2.3*mc^2 iii)P=gamma*(mv-mv)=0. iv) P=0 so that speed of mass M is zero. so that 2.3mc^2=1*Mc^2. so M=2.3m

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