Would need step-by-step solutions for theese answers so I could really understan

Question

Would need step-by-step solutions for theese answers so I could really understand them, many thanks.

They were going to purchase an electron microscope, and wanted the electrons velocity to be as high as 30% of the speed of light after acceleration. There was a microscope at hand that had an accelerating voltage of 36 kV. a) How large is the electrons relativistic mass when it hits the target expressed in m0? b) Is the voltage high enough to reach at least 30% of the speed of light? Would need step-by-step solutions for theese answers so I could really understand them, many thanks.

Explanation / Answer

in this problem

electron is accelrating means it certainly have kinetic energy

KE=0.5mV2

36*1.6*10-16=0.5*m*0.09*9*1016

m=142.2*10-32

=14.22*10-31kg

b)

yes voltage is sufficient to reach the target

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