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.