High School

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The force required to slowly stretch a spring varies from 0 N to 186 N as the spring is extended by 15 cm from its unstressed length. What is the force constant of the spring?

Answer :

The force constant of the spring is calculated using Hooke's Law, with 186 N force leading to a 15 cm extension, resulting in a spring constant of 1240 N/m.

The student is asking about the force constant of a spring, which is a concept from physics, specifically related to Hooke's Law. To find the force constant (k), we use the formula for Hooke's Law: F = kx, where F is the force applied to the spring and x is the displacement from the spring's equilibrium position.

In this case, the force applied is 186 N and the displacement is 15 cm or 0.15 m.

Therefore, the spring constant (k) is calculated as k = F/x, which results in k = 186 N / 0.15 m

= 1240 N/m.

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