Where m1 - mass proton, m2- mass unknown particle, V1- initial speed of proton, V1' - speed of proton after collision, V2 - speed of unknown particle after collision.
"V_{1}' = 2\/3 V_{1}"
"m_{1}V_{1}=m_{1}V_{1}'+ m_{2}V_{2}"
"m_{1}V_{1}= 2\/3 m_{1}V_{1}+ m_{2}V_{2}"
"1\/3m_{1}V_{1}=m_{2}V_{2}"
"V_{2}= 1\/3 \\frac{m_{1}V_{1}}{m_{2}}"
"\\frac{m_{1}V_{1}^2}{2} =4\/9 \\frac{m_{1}V_{1}^2}{2} +\\frac{m_{2}V_{2}^2}{2}"
"5\/9\\frac{m_{1}V_{1}^2}{2} =\\frac{m_{2}(1\/3 \\frac{m_{1}V_{1}}{m_{2}})^2}{2}"
"5\/9=1\/9 \\frac{m_{1}}{m_{2}}""\\frac{m_{1}}{m_{2}}= 5"
Or
Comments
Leave a comment