# Question #7e1f5

Sep 20, 2017

$\text{14 cm}$.

#### Explanation:

The problem tells you that a certain piece of wire has a mass of $\text{2.00 g}$ per meter.

This means that if you take a piece of wire that is $\text{1 m}$ long, its mass will be equal to $\text{2.00 g}$.

Now, you know that

$\textcolor{b l u e}{\underline{\textcolor{b l a c k}{\text{1 m = 100 cm}}}}$

You can thus say that a mass of $\text{2.00 g}$ of copper will correspond to a wire that is $\text{100 cm}$ long.

This implies that $\text{0.28 g}$ of copper will correspond to a wite that is

$0.28 \textcolor{red}{\cancel{\textcolor{b l a c k}{\text{g"))) * "100 cm"/(2.00color(red)(cancel(color(black)("g")))) = color(darkgreen)(ul(color(black)("14 cm}}}}$

long. The answer is rounded to two sig figs.