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

Question

3 years ago

6

support 900 kg. How many kilograms can a 19 dash m beam support?

1 answer:

miss Akunina [59] · Answer 1 · 2022-08-04T21:49:43+03:00

<h2>Answer:</h2>

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

378.9474 kg

<h2>Step-by-step explanation:</h2>

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.

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