Question

The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that aa 6 dash m6-m beam can support 14001400 kg. How many kilograms can aa 19 dash m19-m beam​ support?

Answer 1

weight is 442.10 kg

Step-by-step explanation:

given data

weight = 1400 kg

length = 6 m

to find out

how many kilogram 19 m beam support

solution

we know by inverse variation formula of weight that is

weight =
`(k)/(l)` .............1

here k is constant and l is length

so k will be

1400 =
`(k)/(6)`

k = 8400

so for 19 m weight will be by equation 1

weight =
`(k)/(l)`

weight =
`(8400)/(19)`

weight = 442.10 kg