A mass of 15 grams stretches a spring
5 centimeters. If the distance this spring is
stretched varies directly with the attached
mass, what mass will stretch the spring
12 centimeters?

Respuesta :

Answer:

36 grams mass will stretch the spring  12 centimeters.

Step-by-step explanation:

Here, Distance of the spring ∝ The Mass attached

or D = k M ( for some arbitrary constant k )

Now, for  m = 15 g, D = 5 centimeters

So, here  5 = k(15)

or, [tex]k = \frac{5}{15}  = \frac{1}{3}[/tex]

⇒ For  D=  12 cm , D = k M

⇒   [tex] 12 = \frac{1}{3} \times M\\M = 12 \times 3 = 36[/tex]

or, M = 36 grams

Hence, 36 grams mass will stretch the spring  12 centimeters.

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