Finding Spring Constant: Solving the Spring Problem

In summary, the conversation discussed a problem involving a spring and two masses, with one hanging from the other. The question was to find the spring constant, using the equation Fsp=-kdeltas. The solution was initially incorrect, but the error was identified and corrected with the understanding that the total displacement of the spring is not 0.02 m, but rather the addition of 0.02 m to the original displacement.
  • #1
rileyjah
6
0
Spring problem!

Homework Statement



A 1.60 kg block hangs from a spring. If a 400 g body is hung from the block, the spring is stretched 2.00 cm farther. What is the spring constant?

Homework Equations



Fsp=-kdeltas

The Attempt at a Solution



(2.0Kg)(9.8)/(0.02)=k
k-980 N/m... which is wrong

So I am assuming that at equilibrium with m1 x=0, and when the second mass is added the total displacement is delta s=0.02 m - what am I missing?
 
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  • #2


Are you really applying 2*9.8 Newtons of additional force to the spring?
 
  • #3


Ohhhh! It makes sense now!
 
  • #4


Thank you!
 
  • #5


rileyjah said:
Thank you!
A pleasure :smile:
 

Related to Finding Spring Constant: Solving the Spring Problem

What is a spring constant?

A spring constant is a measure of the stiffness of a spring. It is represented by the letter k and is measured in units of force per distance, such as N/m or lbs/in.

How do you find the spring constant?

The spring constant can be found by using Hooke's Law, which states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed from its equilibrium position. The formula for Hooke's Law is F = -kx, where F is the force, k is the spring constant, and x is the displacement from equilibrium.

What are the units for spring constant?

The units for spring constant depend on the units used for force and distance. In the SI system, the units are N/m, while in the US customary system, the units are lbs/in.

What factors can affect the spring constant?

The spring constant is affected by the material and geometry of the spring, as well as the temperature and the amount of stretching or compression.

Can the spring constant change?

Yes, the spring constant can change if there are changes in the factors that affect it, such as the material, geometry, or temperature. It can also change if the spring is stretched or compressed beyond its elastic limit, causing permanent deformation.

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