Intro to Springs (Hooke's Law) Video Lessons

Video Thumbnail

Concept

Problem: A vertical spring has a length of 0.225 m when a 0.25 kg mass hangs from it, and a length of 0.75 m when a 1.975 kg mass hangs from it.Find the spring constant k in N/m.

FREE Expert Solution

Hooke's law:

F=-kx

F1 = mg = (0.25)(10) = 2.5 N

Let L be the length of the unloaded spring.

x1 = (0.225 - L) m

k1 = F1/x1 = 2.5/(0.225 - L)

0.225k1 - k1L = 2.5

L = (0.225k1 - 2.5)/k1 

View Complete Written Solution
Problem Details

A vertical spring has a length of 0.225 m when a 0.25 kg mass hangs from it, and a length of 0.75 m when a 1.975 kg mass hangs from it.

Find the spring constant k in N/m.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Springs (Hooke's Law) concept. You can view video lessons to learn Intro to Springs (Hooke's Law). Or if you need more Intro to Springs (Hooke's Law) practice, you can also practice Intro to Springs (Hooke's Law) practice problems.