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