Question

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 310 kg. How many kilograms can a 10-m beam support? a. 0.0161 kg b. 62 kg c. 15.5 kg d. 0.0645 kg

Answer 1

b. 62 kg

Explanation:

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Answer 2

Option b is correct

62 kg

Explanation:

As per the statement:

The weight(w) that a horizontal beam can support varies inversely as the length(l) of the beam.

⇒
`w \propto (1)/(l)`

then the equation we get:

`wl = k`.....[1] where, k is constant

Given:

Suppose that a 2-m beam can support 310 kg.

⇒w= 310 kg and l = 2 m

Substitute the given values we have;

`310 \cdot 2 = k`

⇒
`620 = k`

or

k = 620

⇒wl = 620

We have to find how many kilograms can a 10-m beam support.

⇒l =10 m

then;

`w \cdot 10 = 620`

Divide both sides by 10 we have;

`w = 62 kg`

Therefore, 62 kilograms can a 10-m beam support.