Question #7e1f5

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Answer 1 · 2017-09-20T22:59:32

$"14 cm"$ .

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.