4. Lead has a density of 11.5g/cm3. A rectangular block of lead measures 7cm ×5cm×2cm.
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The work W done by the electric field in moving the proton is equal to the difference in electric potential energy of the proton between its initial location and its final location, therefore:
where q is the charge of the proton,
, with 
being the elementary charge, and 
and 
are the initial and final voltage.
Substituting, we get (in electronvolts):
and in Joule:
where q is the charge of the proton,
Substituting, we get (in electronvolts):
and in Joule:
1) Fundamental units of are
2) Fundamental units of are
Explanation:
The equation for the variable is
where we have:
measured in
measured in
measured in
measured in
We can re-write the equation as
And we notice that the units of the term on the left must be equal to the units of the term on the right.
This means that:
1) First of all, must have the same units of
. So,
However, both ft (feet) and in (inches) are not fundamental dimensions: this means that they can be expressed as meters. Therefore, the fundamental units of are
2)
The term must have the same units of
in order to be added to it. Therefore,
We also know that the units of are
, therefore
And so, the fundamental units of are
However, the Joules can be written as
Therefore
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