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

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

378.9474 kg

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=(k)/(L)`

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

This means that L=8 and W=900

Then,

`900=(k)/(8)\\\\i.e.\\\\k=900* 8\\\\i.e.\\\\k=7200`

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

i.e.

`W=(7200)/(19)\\\\i.e.\\\\W=378.9474\ kg`