Stuck on my physics?

Question

Sorry for asking a homework question, but there are two problems that I am just stuck on... My professor does nothing for us, so it's up to us to figure out how to solve these, and I've exhausted my resources to find out how to do them. If anyone can help, I would be deeply in debt and will definitely select a best answer. Thanks,

http://newterra.chemeketa.edu/faculty/ejensen/RankingTaskExercises/04WORK--/WORK068.PDF

http://newterra.chemeketa.edu/faculty/ejensen/RankingTaskExercises/04WORK--/WORK075.PDF

Answer 1

For the first problem, using Initial and Final potential and kinetic energies yields the equation  V(final) = Sqrt(2*g*h).  

Remember that mass doesn't effect anything because it cancels out.

The second problem might be similar, if I'm not mistaken. I haven't really had time to scrutinize it, but it's probably the same if the mass is released from rest. But here, the formula would be V(final) = sqrt(2*g*{lenght - lenght*sin(@)}).

It's possible I might be wrong, because I really only looked at this one for about 2 seconds. But then again, I could be right.

Sorry I dont feel like solving for it, but at least now you have the equations.