I think the question need to use extrapolation. FInd the linear function of the first and second data. And then, the anwser is 5.4 liters.
The answer is 570 J. The kinetic energy has the formula of 1/2mV². The total work in this process W= 1/2m(V2²-V1²) = 1/2 * 15.0 * (11.5²-7.50²) = 570 J.
Explanation:
Formula to calculate the electric field of the sheet is as follows.
E = 
And, expression for magnitude of force exerted on the electron is as follows.
F = Eq
So, work done by the force on electron is as follows.
W = Fs
where, s = distance of electron from its initial position
= (0.570 - 0.06) m
= 0.51 m
First, we will calculate the electric field as follows.
E = 
= 
= 0.259 N/C
Now, force will be calculated as follows.
F = Eq
= 
= 
Now, work done will be as follows.
W = Fs
= 
= 
Thus, we can conclude that work done on the electron by the electric field of the sheet is
.