Spring Displacement by Adding Mass

In summary, adding mass to a spring will increase its displacement, with the amount of mass directly affecting the displacement. There is a limit to how much mass can be added before the spring breaks, determined by the spring's strength and elasticity. The spring constant also plays a role in the displacement, with a higher constant resulting in a smaller displacement. The displacement of a spring with added mass can be predicted using Hooke's Law.
  • #1
woaini
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Homework Statement



A spring hanging vertically has a spring constant of 56 N/m. When 2.1kg is hung from it, what is its vertical displacement?

k=56
m=2.1
x=?
g=9.81

Homework Equations



mg = -kx

The Attempt at a Solution



-x = (2.1*9.81)/56 = 0.367875m

Did I setup the equation correctly?
 
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  • #2
Yes, it's OK.
 

Related to Spring Displacement by Adding Mass

1. How does adding mass affect the displacement of a spring?

Adding mass to a spring will increase its displacement, as the added weight will pull down on the spring and stretch it further.

2. Does the amount of mass added have an impact on the displacement?

Yes, the amount of mass added will directly affect the displacement of the spring. The more mass added, the greater the displacement will be.

3. Is there a limit to how much mass can be added before the spring breaks?

Yes, there is a limit to how much mass can be added before the spring breaks. This limit is determined by the strength and elasticity of the spring itself.

4. How does the spring constant affect the displacement when mass is added?

The spring constant, which measures the stiffness of the spring, will also affect the displacement when mass is added. A higher spring constant will result in a smaller displacement with added mass, while a lower spring constant will result in a larger displacement.

5. Can the displacement of a spring with added mass be predicted mathematically?

Yes, the displacement of a spring with added mass can be predicted mathematically using Hooke's Law, which states that the displacement of a spring is directly proportional to the force applied to it. This can be expressed as F = -kx, where F is the force, k is the spring constant, and x is the displacement.

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