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chris_0101
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Homework Statement
How fast must a body be traveling if its forrect relativistic momentum is 1% greater than the classical momentum
Homework Equations
P_r = mv/sqrt(1-(v^2/c^2))
P_nr = mv
p_r = 1.01P_nr
The Attempt at a Solution
mv/sqrt(1-(v^2/c^2)) = 1.01mv
mv = 1.01(mv)[sqrt(1-(v^2/c^2))]
1 = 1.01[sqrt(1-(v^2/c^2))]
1/1.01 = sqrt(1-(v^2/c^2))
(1/1.01)^2 = 1-(v^2/c^2)
0.980296 = 1-(v^2/c^2)
0.980296 - 1 = -(v^2/c^2)
-0.01970 = -(v^2/c^2)
(-0.01970)(c^2) = -v^2
0.01970c^2 = v^2
0.0003884c = v
However, this is not the correct answer. The actual answer in the back of the textbook is 0.14c. If anyone can correct my algebra or point me into the right direction it would be greatly appreciated.
Thanks