Finding compression distance for mass on spring with initial velocity

[jrdwagas]

Need help on problem...See attachment

New on the topic and the SUB only knows as much as we do.
Might be a lot to cover, but thanks anyway. (Also, please explain if you can)

v0-intitial velocity
sqr-square root
k-spring force constant
g-gravity
m-mass

Choices
1. x = v0*sqr((mg)/k)

2. x = v0*m/(kg)

3. x = v0*(mg)/k

4. x = v0*sqr(k/(mg)

5. x = v0*k/(gm)

6. x = v0^2/(2g)

7. x = v0*sqr(m/k)

8. x = v0*sqr(k/m)

9. x = v0^2/(2m)

10. x = v0*(mk)/g

 

[willem2]

Use conservation of energy. All the kinetic energy of the block (1/2) mv^2 goes into potential energy of the spring (1/2)kx^2