Lewis has a copper pipe with a length of 150 cm and a mass of 800 grams. He cuts a piece of the copper pipe with a length of 90 cm. How do you work out the mass of this piece of copper pipe?

2 Answers
Jun 9, 2017

Answer:

I got #477g#

Explanation:

I would consider the Linear Density of the pipe as:

#delta="Linear Density"="mass"/"length"#

or:

#delta=800/150=5.3g/(cm)#

When you cut it you are left with #90cm# of pipe but with the same linear density #delta# so we can write:

#5.3=m/90#

or

#m=5.3*90=477g#

Jun 9, 2017

Answer:

The #"90 cm"# piece of the pipe will have a mass of #"480 g"#.

Explanation:

From the question, we get a relationship of equality between the length and mass of the pipe.

#"150 cm = 800 g"#

There are two conversion factors as shown below.

#"150 cm"/"800 g"# or #"800 g"/"150 cm"#

Multiply #"90 cm"# by the conversion factor that cancels cm.

#90color(red)cancel(color(black)("cm"))xx(800"g")/(150color(red)cancel(color(black)("cm")))="480 g"#