## anonymous 4 years ago 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.

1. 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.

2. anonymous

Wow thats it! Awesome! This gives x=8cm. Thats the maximum deflection right? Thanks a lot!

3. anonymous

yes it is.