Respuesta :
Answer:
Option b is correct
62 kg
Step-by-step explanation:
As per the statement:
The weight(w) that a horizontal beam can support varies inversely as the length(l) of the beam.
⇒[tex]w \propto \frac{1}{l}[/tex]
then the equation we get:
[tex]wl = k[/tex].....[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;
[tex]310 \cdot 2 = k[/tex]
⇒[tex]620 = k[/tex]
or
k = 620
⇒wl = 620
We have to find how many kilograms can a 10-m beam support.
⇒l =10 m
then;
[tex]w \cdot 10 = 620[/tex]
Divide both sides by 10 we have;
[tex]w = 62 kg[/tex]
Therefore, 62 kilograms can a 10-m beam support.
