The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches
2.1 inches when 80 pounds is attached, how far will it stretch when 40 pounds is attached?

Respuesta :

Answer:

1.05 inches

Step-by-step explanation:

As the  stretch varies directly  with the amount of weight it means that a decrease in weight result in a proportional decrease of stretch.

Answer:

The spring will stretch 1.05 inches.

Step-by-step explanation:

The amount a spring will stretch varies directly with the amount of weight attached to the spring.

Let the spring stretches x inches when 40 pound is attached.

we get the following relation;

[tex]\frac{2.1}{80} =\frac{x}{40}[/tex]

=> [tex]80x=2.1\times40[/tex]

=> [tex]80x=84[/tex]

x = 1.05 inches

Hence, the spring will stretch 1.05 inches.

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