An electron and a positron each have a mass of 9.11x10^-31 kg. They collide and both vanish, with only electromagnetic radiation appearing after the collision. If each particle is moving at a speed of 0.10c relative to the laboratory before the collision, determine the energy of the electromagnetic radiation.
(answer is in Joules)
2007-11-14 14:24:57 · 2 answers · asked by allyn_03 2 in Science & Mathematics ➔ Physics
First, lets get the mass increase per relativity.
M= m 1/sqrt (1-(v/c)^2)
v=.1c
therefore
M=m/sqrt (1-(.1)^2)
=m/sqrt(.99)
=m* 1.005
therefore Mass of Electron at .1c
M= 9.11x10^-31 kg * 1.005
=9.156x10^-31 kg
Now for the energy
E=mc^2
Since there is an electron and a positron it is twice the above mass
E=2*9.156x10^-31 kg * (299,792,458 m/sec)^2
=1.64578x10^-13 J
2007-11-14 15:34:54 · answer #1 · answered by Frst Grade Rocks! Ω 7 · 1⤊ 0⤋
sorry, I haven't learned anything in that class. And yet, I'm getting an A.
http://answers.yahoo.com/question/index;_ylt=Ah7H7jLCmKZFJjg5wVZm5tvsy6IX;_ylv=3?qid=20071112181106AAb2BER
2007-11-14 14:27:37 · answer #2 · answered by and so it begins... 6 · 0⤊ 0⤋