Max Spring Compression Calculation

AI Thread Summary
To find the maximum compression of a spring when a 500g block is dropped from 60cm, the force exerted by the block (mg) is calculated as 4900 N. The spring constant (k) is given as 120 N/m, leading to the equation Fsp = -kx. The discussion suggests using conservation of energy as a simpler approach, equating the gravitational potential energy of the block to the elastic potential energy of the spring. This method may provide a clearer path to determine the maximum compression of the spring.
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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