I only need help in part b.I use (mgx)(.5kx^2)=.5mv^2 and my answter is wrong help me figure out where im wrong please.?

We can only help you find out WHERE you are wrong if you show us what you have done.

Merely presenting us with the question isn't any use.

however from your info you include mgx. And this should not be done.

If you include mgx as energy you also need to work from the rest length of the spring and this makes the problem more difficult.

If you work on NET force instead then you get

1/2 k x^2 = 1/2 m v^2

k x^2 = m v^2

v = sqrt( k x^2 / m)

= sqrt(112 * 0.18^2 / 1)

=1.9 m/s

If you were foolish enough to want to use gravity then you would need to do

mg(L+x) + 1/2 k(L+x)^2 = mg(L) + 1/2 k L^2 + 1/2 m v^2

Where L is the rest length (0.0875) and x is the extension from that (0.18)

As you can see we have turned an easy problem into a harder one.