Max Spring Compression Calculation

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SUMMARY

The discussion focuses on calculating the maximum compression of a spring when a 500g block is dropped from a height of 60cm onto it. The spring has a force constant (k) of 120 N/m. The participants suggest using conservation of energy principles to solve the problem, as the gravitational potential energy of the block converts into elastic potential energy in the spring. The key equation is Fsp = -kx, where k is the spring constant and x is the compression distance.

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  • Understanding of Newton's laws of motion
  • Knowledge of spring mechanics and Hooke's Law
  • Familiarity with conservation of energy principles
  • Basic algebra for solving equations
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jordanilyily
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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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It might be simpler to approach this problem from a conservation of energy point of view.
 
use conservation of energy.
 

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