Spring constant, should be easy?

In summary, the conversation discusses the process of finding the value of the spring constant for a suspended spring. Using measurements of the spring's position with different masses attached, the correct value of the spring constant is determined to be 6.37 kg/s2. However, there is uncertainty about the first question as the starting position of the spring is not specified. A suggested method for finding the spring constant is to plot the data points and calculate the gradient, or use the formula k = (m2 - m1)g / (x2 - x1).
  • #1
Th3Proj3ct
19
0

Homework Statement


A spring is suspended vertically parallel to a meterstick. When a 170-g mass is attached to the bottom of the spring, the spring stretches until its bottom is adjacent to the 80-cm mark on the meterstick. When a 760-g mass is then used to replace the 170-g mass, the bottom of the spring is measured to be at the 30-cm mark. Based on these measurements, the value of the spring constant is


Homework Equations


k=mg/x


The Attempt at a Solution


Seemed simple enough, (0.17*9.8)/.2 = 8.33 N/m
then (0.76*9.8)/.7=10.64 N/m

But neither of these are correct, and if i take the sum of the masses and distance i get:
(.93*9.8)/0.9=10.126~

None of these can possibly be the correct answer.. and I am sort of lost =/
 
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  • #2
New question: A spring is suspended vertically parallel to a meterstick. When a 130-g mass is attached to the bottom of the spring, the spring stretches until its bottom is adjacent to the 20-cm mark on the meterstick. Based on this measurement, the value of the spring constant is
6.37 kg/s2.
637 kg/s2.
0.00637 kg/s2.
unknown.
0.650 kg/s2.
---------------------
Where i thought it was 6.37; apparently it is unknown because you don't know that the spring's bottom was at 0cm when it started =/ Still not sure how it will help me with the first one though [the first question doesn't state that either]
 
  • #3
For the first one:

Take the two points (use the weight) and plot them on a graph... your gradient is the spring constant.

Alternatively k = (m2 - m1)g / (x2 - x1)
 
  • #4
Ugh, so it was the difference in the mass and distance; no idea why i took the sum. Thank you.
 

FAQ: Spring constant, should be easy?

What is the definition of spring constant?

The spring constant, also known as the force constant, is a measure of the stiffness of a spring. It is the amount of force required to stretch or compress a spring by a certain distance.

How do you calculate the spring constant?

The spring constant can be calculated by dividing the force applied to the spring by the displacement it causes. In mathematical terms, it is expressed as k = F/x, where k is the spring constant, F is the force applied, and x is the displacement.

What is the unit of measurement for spring constant?

The unit of measurement for spring constant depends on the system of units used. In the SI system, the standard unit for spring constant is Newtons per meter (N/m). In the English system, it is pounds per inch (lb/in).

How does the spring constant affect the behavior of a spring?

The spring constant determines the stiffness of a spring, which affects its ability to store and release energy. A higher spring constant means a stiffer spring that requires more force to stretch or compress, while a lower spring constant indicates a softer spring that requires less force.

Can the spring constant change?

Yes, the spring constant can change depending on various factors such as the material of the spring, the number of coils, and the temperature. For example, as the temperature increases, the spring constant of a metal spring also increases due to the expansion of the material.

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