The length of the spring extension in the centimeters, when a 40-gram object is attached to the spring would be 13.2 cm, therefore the correct answer is the option B
What is the spring constant?
The spring constant is used to define the stiffness of the spring, the greater the value of the spring constant stiffer the spring and it is more difficult to stretch the spring.
The mathematical relation for calculating the spring constant is as follows
F = - Kx
As given in the problem there is a linear relationship between mass and the length of the spring extension
20 gram ⇒ 6.6 centimeters
50 grams ⇒ 16.5 centimeters
The constant of the proportionality is the spring constant as the acceleration due to gravity is assumed to be constant
K = 20/6.6 =50/16.5 = 3.03
K = 3.03
Similarly, for a 40-gram mass, the extension of the spring would be
Extension length = 40/3.03
= 13.2 centimeters
Thus, when a 40-gram object is attached to the spring would be 13.2 cm therefore the correct answer is the option B
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