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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.