Suppose a bar 1 m long expands .5 cm when heated. By how much will a bar 100 m long of the same material expand when similarly heated?

If each one meter expands a half centimeter, then one hundred meters will expand 100*.5cm. Think on that.

Exp. = 0.5cm/m * 100m = 50 cm.

thank you

To find out how much a bar 100 m long of the same material will expand when heated, you can use the concept of proportionality.

Let's start by determining the proportion between the length and the expansion. We have:

1 m expands by 0.5 cm.

Let's represent this proportion mathematically:

1 m : 0.5 cm

Now, we can use this proportion to calculate how much a bar 100 m long will expand. We can set up a proportion equation:

1/0.5 = 100/x

Where x represents the expansion of the 100 m bar.

To solve for x, we can cross-multiply and solve for x:

1 * x = 0.5 * 100
x = 50 cm

Therefore, a bar 100 m long of the same material will expand by 50 cm when similarly heated.

To find out how much a bar of 100 meters long will expand when heated, you need to multiply the expansion of each meter by the total length of the bar.

Given that each meter expands by 0.5 cm, the total expansion of a bar of 100 meters can be found by multiplying 0.5 cm by 100 meters:

Total expansion = 0.5 cm/m * 100 m = 50 cm

Therefore, a bar of 100 meters long of the same material will expand by 50 centimeters when heated similarly.