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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?

User Jayraynet
by
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1 Answer

3 votes

Answer:

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

User Dirk Bester
by
8.5k points