Asked by Andy

How much work must be done to increase the speed of an electron from 0.200c to 0.210c? In (MeV)
Answered by Count Iblis
The energy is given by E = gamma m c^2. Take the difference of this for
v= 0.210c and 0.200 c
Answered by drwls
CountIblis is correct.

gamma is 1/sqrt[1 - (v/c)^2]

gamma changes from 1.0206 to 1.0461

Multiply the difference by the rest mass energy.
Answered by Andy
is rest mass energy

9.11e-31 * (3e8)^2 ??

and do I need to convert from J to ev to KeV?

Thanks for the help
Answered by drwls
Yes, that is the rest mass energy in Joules.

Since they do ask for the answer in MeV, use the conversion factor
1 MeV = 1.602*10^-12 J