Is My Spring Equation Correct? A Quick Check

[asi123]

Homework Statement

Ok, I know it's kind of simple but can someone please check if it's correct?

Homework Equations

The Attempt at a Solution

 

[Kurdt]

There is no need to include gravitational potential in the first part. Once the mass hits the sprig all of the kinetic energy will turn into potential energy stored in the spring.

 

[asi123]

There is no need to include gravitational potential in the first part. Once the mass hits the sprig all of the kinetic energy will turn into potential energy stored in the spring.

Yeah, but it goes down a bit forwarder, I mean until it reaches d and then all the energy is in the spring, right?

 

[Kurdt]

Yes sorry your're right, it all looks fine.