Question

Question #7e1f5

Answer 1

`"14 cm"`.

Explanation:

The problem tells you that a certain piece of wire has a mass of `"2.00 g"` per meter.

This means that if you take a piece of wire that is `"1 m"` long, its mass will be equal to `"2.00 g"`.

Now, you know that

`color(blue)(ul(color(black)("1 m = 100 cm")))`

You can thus say that a mass of `"2.00 g"` of copper will correspond to a wire that is `"100 cm"` long.

This implies that `"0.28 g"` of copper will correspond to a wite that is

`0.28 color(red)(cancel(color(black)("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.