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m 0.986c = 1 Your response differs from the correct answerby orders of magnitude

ID: 1677894 • Letter: M

Question

m0.986c = 1
Your response differs from the correct answerby orders of magnitude. kg m-0.860c = 2
Your response differs from the correct answerby orders of magnitude. kg An unstable particle with a mass equal to 3.34 Your response differs from the correct answerby orders of magnitude. kg Your response differs from the correct answerby orders of magnitude. kgm-0.860c =2 10^-27 kg is initially at rest. The particle decays intotwo fragments that fly off with velocities of 0.986c and -0.860c, respectively. Find the masses of thefragments. (Hint: Conserve both mass-energy and momentum.)

Explanation / Answer

M = 3.34*10-27 kg, v1 = 0.986c, v2= -0.860c find m1 and m2 momentum conservation: 1m1v1 +2m2v2 = 0 2m2 =-1m1v1/v2             (1) energy conservation: 1m1c2 +2m2c2 = Mc2 use (1), and get m1 = M[1 - (v1/c)2]/(1 -v1/v2) = 2.59*10-28 kg m2 = 9.10*10-28 kg