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Speed of a ball launched from a spring

  • Thread starter cilantrone
  • Start date
  • #1

Homework Statement


The force required to compress an imperfect horizontal spring an amount x is given by F = 150x + 12x^3, where x is in meters and F in newtons.
If the spring is compressed 2.5m, what speed will it give to a 3.5kg ball held against it and then released?

Homework Equations


Not sure all these are relevant, but...
F = ma
a = dv/dt
K = mv^2 /2


The Attempt at a Solution



I made many attempts and the computer told me that none were right.

Thanks!
 

Answers and Replies

  • #2
Hootenanny
Staff Emeritus
Science Advisor
Gold Member
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Homework Statement


The force required to compress an imperfect horizontal spring an amount x is given by F = 150x + 12x^3, where x is in meters and F in newtons.
If the spring is compressed 2.5m, what speed will it give to a 3.5kg ball held against it and then released?

Homework Equations


Not sure all these are relevant, but...
F = ma
a = dv/dt
K = mv^2 /2


The Attempt at a Solution



I made many attempts and the computer told me that none were right.

Thanks!
Welcome to PF cilantrone,

Just looking at the relevant equations that you have listed, I notice that there is a vital one missing, the definition of work.
 

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