A spring that obeys Hooke's Law has an unstretched length of 10 cm. A load of 20 N is hung from the spring. The new length of the spring is 36 cm, then the spring constant k of the spring would be 0.77 N/ cm.
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.
Relation between force and the spring constant,
F = - Kx
F= 20 N and
x = 36 -10
= 26 cm
K = F/x
=20/26 N/ cm
=0.77 N / cm
Thus, the spring constant for the spring is 0.77 N/ cm, therefore the correct answer is option B.
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