f a 40 kg weight and a 200 kg weight each dropped from 1 m above the trampoline, find the final position of each weight. Assume the trampoline is a simple spring obeying Hooke's law with a k value of 12 000 N/m.

I was able to get the answer to this, using mg(h+x) = 1/2kx^x but i got a negative and a positive answer, which one do i choose? (i got 0.29 and -0.22)

first weight

mg(h+x)=1/2 kx^2
so you got a negative and positive answer? WEll, the weights increased the length of h, so the positive answer is what you want.