Question

The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that an 8 dash m beam can support 900 kg. How many kilograms can a 19 dash m beam​ support?

Answer 1

Answer:

The number of kilograms a 19 m beam can support is:

                               378.9474 kg

Step-by-step explanation:

It is given that:

The weight W that a horizontal beam can support varies inversely as the length L of the beam.

Let k denote the constant.

This means that the weight W and Length L is related as:

                 $W=\dfrac{k}{L}$

Suppose that an 8 dash m beam can support 900 kg.

This means that L=8 and W=900

Then,

$900=\dfrac{k}{8}\\\\i.e.\\\\k=900\times 8\\\\i.e.\\\\k=7200$

Now , we are asked to find the value of W when L= 19

i.e.

$W=\dfrac{7200}{19}\\\\i.e.\\\\W=378.9474\ kg$