Need help with problems involving springs

[Winged]

I am in a Physics I class and need help with my homework. There are a couple problems involving springs that I don't know how to do. I think if I can figure out how to do one of them, I would be able to do the other, so I'll just post one question for now.

Homework Statement

A ball is compressed against a vertical spring by 1 m. The ball has a mass of 10 kg. The spring has a constant of 10,000 N/m. The ball is 4 meters above the ground. How high will the ball travel and how fast will it hit the ground? Assume you have moved the spring in time.

Homework Equations

I have two equations that our professor gave us that are used for springs. They are:
PE_s= $$\frac{1}{2}$$kx²

T=2$$\Pi$$$$\sqrt{\frac{m}{k}}$$

I'm pretty sure there are one or two other equations I need to use for this problem, but I don't know what they are. I think this is where my problem is.

The Attempt at a Solution

So far, the only thing I've done is what I knew how to do.
PE_s= $$\frac{1}{2}$$kx²
PE_s=5000

T=2$$\Pi$$$$\sqrt{\frac{m}{k}}$$
T=0.1987 (I don't think this is really needed for solving the equation, but I really have no idea, and I had to start somewhere.)

Any help would be greatly appreciated! Thanks!

 

[PhanthomJay]

Have you studied conservation of energy?

 

[Winged]

Yes, we have. Looking in my notes, I have one equation involving the conservation of energy, and it is:

W_c=F_cd=-$$\Delta$$PE=-(PE_f-PE₀

 

[PhanthomJay]

Yes, we have. Looking in my notes, I have one equation involving the conservation of energy, and it is:

W_c=F_cd=-$$\Delta$$PE=-(PE_f-PE₀

That equation tells you that the work done by conservative forces is the negative of the potential energy change. For part 1, try $$\Delta K + \Delta U = 0$$ .
What is delta K when the block travels from rest to its max height?