i need some more help.

[butz3]

if you drop any kind of ball onto a hard surface, it will never bounce as high as the height it was dropped from. show algebraically that michanical energy has been lost between the maximum height on hte one bounce and the maximum height on the next bounce, and explain why this does not disprove the energy conservation law. any help would be appreacted thanks.

[arildno]

Suppose you drop the ball from initial height h_{0} , and in the subsequent bounces, the maximally reached heights satisfy the inequality:
h_{0}\geq{h}_{1}\geq{h}_{2}\geq{h}_{3}...
1)Now, what is the kinetic energy of the ball at these heights?
2)Using your answer on that, what must then the total mechanical energy at each stage be?
3)How can mechanical energy be lost from a system?