Originally posted by: TecHNooB
Still dont see how I should set up the problem
Consider this example.
Set h = 0 at the base of a tower. You take a 1kg ball 400m up the tower and drop it (with an initial speed of 0 m/s). How fast is the ball travelling just before it hits the ground?
The potential energy of the ball comes from moving it from the base to the top. The amount of energy it gains is:
E_total = mg?h + 1/2 m*v1^2 = mg?h (since v1 = 0).
At the bottom, E_total remains the same.
E_total = mg?h + 1/2m*v2^2 = 1/2 m*v2^2 (since ?h = 0).
You observe that as the ball is falling, it loses potential energy and gains kinetic energy.
The yo-yo is doing the same thing. You should be able to set up your problem now.
Edit: How fast is the ball travelling when it is half way down the tower? E_total remains the same, but the contribution of KE and PE changes.