anonymous
  • anonymous
What is the deflection of a spring? As in this question A ball of mass 2kg is dropped from a height if 20cm on a spring of stiffness k=1225 N/m. Find the maximum deflection of the spring.
Physics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Use the law of conservation of energy. Potential energy of the object with mass m at the height h is equal to \[\ E=mgh\] and the potential energy of a spring is equal to \[\ E_{spring}=\frac{1}{2}kx^2\] where k - spring constant, x - displacement Since all the gravitational potential energy will be transformed to the spring potential energy, its quite easy to figure out the displacement from this two equations :D.
anonymous
  • anonymous
Wow thats it! Awesome! This gives x=8cm. Thats the maximum deflection right? Thanks a lot!
anonymous
  • anonymous
yes it is.

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