Part A At what speed does the momentum of a particle differ

Part A

At what speed does the momentum of a particle differ by 9.00 % from the value obtained with the nonrelativistic expression mv?

v=__________________ m/s

Part B

Is the correct relativistic value greater or less than that obtained from the nonrelativistic expression?

(choose) greater or less

percentage of fractional change in the momentum

((Xmv - mv)*100)/(Xmv) = 9%

where X is gamma

=> ( 1- sqrt ( 1-v/c) ) *100 = 9

=> sqrt ( 1-v/c) = 91/100

=> v = 0.1719c

Part B

As the value of gamma is greater than one , the relativistic momentum shoud be grater than non-relativistic momentum