The amount of stretch of a hanging spring versus the mass attached to the bottom of the spring was measured for different masses. The results are shown in the table. mass (grams) stretch centimeters) 24 48 8 10 16 | 20 What is the constant of proportionality between the mass and the amount of stretch? O 0.5 centimeters per gram O 0.5 grams per centimeter squared O 2.0 centimeters per gram O 2.0 grams per centimeter squared​

Respuesta :

From the proportional relationship, it is found that the constant of proportionality between the mass and the amount of stretch is of 2.0 centimeters per gram.

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  • For a mass of 24 grams, the stretch is of 48 centimetres.
  • For a mass of 8 grams, the stretch is of 16 centimetres.
  • For a mass of 10 grams, the stretch is of 20 centimetres.

The constant of proportionality is:

[tex]\frac{48 \text{cm}}{24 \text{g}} = \frac{16 \text{cm}}{8 \text{g}} = \frac{20 \text{cm}}{10 \text{g}} = 2 cm/g[/tex]

Thus, the constant is of 2.0 centimeters per gram.

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