How Is the Mass of a Block Determined When It Compresses a Spring?

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To determine the mass of a block compressing a spring, the conservation of energy principle is applied, equating kinetic energy to spring potential energy. The equation used is 0.5mv^2 = 0.5kx^2, where k is the spring constant and x is the compression distance. The block's speed before impact is 3.5 m/s, and the spring constant is 31 N/m with a compression of 0.11 m. It is crucial to square both the speed and the compression in the calculations. The correct mass can be found by rearranging the equation and substituting the given values.
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Homework Statement


A block is dropped onto a spring with k = 31 N/m. The block has a speed of 3.5 m/s just before it strikes the spring. If the spring compresses an amount 0.11 m before bringing the block to rest, what is the mass of the block?



Homework Equations


0.5mv^2=0.5kx^2


The Attempt at a Solution

0.5m3.5=0.5*31*.11
 
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Looks like you forgot to square the 3.5 and the .11.
 
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