Finding the Compression of a Spring Using the Work-Energy Theorem

  • Thread starter student34
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  • #1
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Homework Statement



A 6.0kg box moving at 3.0m/s on a horizontal, frictionless surface runs into a light spring of force constant 75 N/cm. Use the work-energy theorem to find the maximum compression in the spring.

Homework Equations



W = K2 - K1

W = (1/2)*m*v^2 - (1/2)*m*vo^2

W = - (1/2)*k*x^2

The Attempt at a Solution



- (1/2)*k*x^2 = 0 - (1/2)*m*vo^2, where k = 75000N/m

x = ((m*v^2)/k)^(1/2) = ((6.0kg*(3m/s)^2)/75000N/m)^(1/2)

x = 0.027m

But the answer in the book is x = 0.085m. I just can't see what I am doing wrong unless my textbook is wrong.
 

Answers and Replies

  • #2
18
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Recheck your value for k.
 
  • #3
360
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Recheck your value for k.

Oh my god, thanks!
 

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