## Find launch speed given spring constant and compressed distance

1. The problem statement, all variables and given/known data
A potato gun contains a spring which is compressed a distance of 7.30cm (0.073m) when it is loaded. If the spring's constant is 41N/m, what is the launch speed of a .00321kg piece of potato when the gun is fired? Give the answer in m/s.

2. Relevant equations
Power = W/T
V^2=Vi^@+2a(y-y0) (projectile motion)
I have no idea what else I need - am stuck.

3. The attempt at a solution
I drew what it might look like and tried to work out mg (0.00321*9.8 = .31458) as the height but am really stuck.

the lecturer has given the answer as 8.3m/s

Help!
 PhysOrg.com science news on PhysOrg.com >> 'Whodunnit' of Irish potato famine solved>> The mammoth's lament: Study shows how cosmic impact sparked devastating climate change>> Curiosity Mars rover drills second rock target
 Equate the energy stored in the spring to the kinetic energy of the potato piece. You should know a formula for the energy in the spring in terms of the spring constant and the compression.