Max Spring Compression Calculation

In summary, a 500g block is dropped from a height of 60cm above a vertical spring with a force constant of 120 N/m. The maximum compression of the spring can be found using the equation Fsp = -kx, where m = 500, height above horizontal = 60cm, and k = 120 N/m. Alternatively, the problem can also be approached using the conservation of energy principle.
  • #1
jordanilyily
3
0

Homework Statement


A 500g block is dropped from a height of 60cm above the top of a vertical spring whose force constant k = 120 N/m. Find the max. compression of the spring.

Homework Equations


Fsp = -kx

The Attempt at a Solution


m = 500, height above horizontal = 60cm, k = 120 N/m

I know the force on the block is mg however I'm at a loss as to how to get the acceleration (if that's needed) and how to plug this in.. I know what plugs into kx it would be (120)(0.60) = - (opposing force) 72 and mg on the block is 4900..perhaps I'm calculating it all wrong?
 
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  • #2
It might be simpler to approach this problem from a conservation of energy point of view.
 
  • #3
use conservation of energy.
 

FAQ: Max Spring Compression Calculation

What is the definition of "Max spring compression"?

Max spring compression refers to the maximum amount of force or pressure that can be applied to a spring before it becomes permanently deformed or breaks. It is an important factor to consider when designing or using springs in various applications.

How is max spring compression determined?

The max spring compression is determined by the material and design of the spring, as well as the amount of force being applied to it. Different types of springs have different maximum compression limits, and this can also vary depending on the specific application and environment.

Why is it important to know the max spring compression?

Knowing the max spring compression is crucial for ensuring the safe and effective use of springs. It helps prevent damage or failure of the spring, as well as potential harm to machinery or equipment. It also allows for proper selection and sizing of springs for specific applications.

Can a spring be compressed beyond its max limit?

Yes, it is possible to compress a spring beyond its max limit, but this can result in permanent deformation or breakage of the spring. It is important to never exceed the recommended max spring compression to avoid damaging the spring and potentially causing safety hazards.

How can the max spring compression be increased?

The max spring compression can be increased by using a different material or design for the spring, as well as adjusting the amount of force being applied. However, it is important to consult with a professional or refer to manufacturer guidelines to ensure the spring is not being pushed beyond its safe limits.

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