Galena M.

asked • 02/09/21

Mass-spring system

A force of 16 N is required to stretch a spring a distance of 0.40m from its rest position. What force is required to stretch the same spring: 

(a) Twice the distance? 

(b) Three times the distance. 

(c) Half the distance.


How do I do this? We were also taught that F is proportional to displacement and the spring constant (k), but I don't know how to conceptually answer this.

1 Expert Answer

By:

Galena M.

I don't understand, I'm sorry. What are all the x's? How is 40N/m related to this? Is that the spring constant? F1, what is force one and force two? Is that the force we are solving? How do we get displacement 2 (x2)
Report

02/09/21

Galena M.

Actually, I do understand how you got the spring constant of 40N/m, but I just don't understand the rest of the proportions you've set up
Report

02/09/21

Ewafuh I.

me neither. however, since k is constant and will always be the same. the force will depend on the distance moved. halving the distance reduces the force to pull the length by 2. multiplying by 2 causes the force to be multiplied by 2 and 3 with 3 so force will be proportionate to distance, 2x the force if 2x the distance as long as spring constant is the same.
Report

02/16/23

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.