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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?

Respuesta :

Answer:

weight  is 442.10 kg

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 = [tex]\frac{k}{l}[/tex]   .............1

here k is constant and l is length

so  k will be

1400 =  [tex]\frac{k}{6}[/tex]

k = 8400

so for 19 m weight will be by equation 1

weight = [tex]\frac{k}{l}[/tex]

weight = [tex]\frac{8400}{19}[/tex]

weight = 442.10 kg

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