Physics
posted by Kyle on .
A particle of mass m0 is given a kinetic energy equal to onethird its restmass energy. How fast must the particle be traveling? please include units

Kinetic energy =
Total energy  m0*c^2
= (1/3)*m0*c^2
Total energy = (4/3)m0*c^2
= m0*c^2/sqrt[1  (v/c)^2]
sqrt[1  (v/c)^2] = 3/4
1  (v/c)^2 = 9/16
(v/c)^2 = 7/16
v/c = 0.661
You don't need units in that dimensionless form.