An electron has been accelerated from rest through a potentialdifference of 1000

Question

An electron has been accelerated from rest through a potentialdifference of 1000 V. Now they asked for K in volts, got that it's obviously 1000eV They asked for kinetic energy in joules, got that it's 1.6 *10-16 Then finally the electron's speed, and I got 1.87 *10-7 But it says this is wrong, and I don't understand how? Cananyone help me? An electron has been accelerated from rest through a potentialdifference of 1000 V. Now they asked for K in volts, got that it's obviously 1000eV They asked for kinetic energy in joules, got that it's 1.6 *10-16 Then finally the electron's speed, and I got 1.87 *10-7 But it says this is wrong, and I don't understand how? Cananyone help me? But it says this is wrong, and I don't understand how? Cananyone help me?

Explanation / Answer

Since Ke=Pe Pe= Vq Ke = 0.5mv2 v=[2 Vq/m] m=9.1x10-31kg q=1.602x10-19C v= [2 x1000 x1.602x10-19/9.1x10-31]= v= 1.87 x107 m/s and it is 0.0627 c Your exponent is off.

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