A force of 5 N is applied to a spring, causing it to stretch from a length of 0.1 m, to a length of 0.15 m.What is the spring constant of the spring?
Question
A force of 5 N is applied to a spring, causing it to stretch from a length of 0.1 m, to a length of 0.15 m. What is the spring constant of the spring?
Solution
The spring constant (k) can be calculated using Hooke's Law, which states that the force (F) exerted by a spring is equal to the displacement (x) it experiences times the spring constant (k). The formula is:
F = kx
We can rearrange this formula to solve for k:
k = F/x
In this case, the force (F) is 5 N and the displacement (x) is the change in length of the spring, which is 0.15 m - 0.1 m = 0.05 m.
So, we can substitute these values into the formula:
k = 5 N / 0.05 m = 100 N/m
So, the spring constant of the spring is 100 N/m.
Similar Questions
A spring has a spring constant of 120 N/m, and an unstretched length of 0.5m.What force is required to stretch the spring from 0.5m, to 0.6m?
8 J of energy is used to stretch a spring by 0.1 m.What is the value of its spring constant?
A spring has a spring constant of 5N/cm. What is its extension when loaded with 15N?2 marks4cm5cm3m3cm
A spring with a spring constant of 4 N/m is stretched by 0.5 m.How much elastic potential energy did it gain?
A force of 20N is applied to a spring ofelastic spring constant of 200N/m. Calculatethe energy stored in the spring.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.