Work Done by Spring on 0.103 kg Mass: 0.10094 J

[magma_saber]

Homework Statement

A mass of 0.103 kg hangs from a spring. you pull the mass down and has a speed 3.60 m/s. The mass moves down .10 m.
What was the work done by the earth?
When the mass moved downward, it slowed down to 2.66 m/s. What was the work done by the spring.

Homework Equations

Work done by Earth = m*g*d
Work done by spring = 1/2 m*$$\Delta$$v²?

The Attempt at a Solution

I got the work done by the Earth to be 0.10094 J.
I can't seem to get the work done by the spring. Is that the right formula? Am i suppose to take the rest energy of the spring and add that to the work done by the Earth?

 

[cse63146]

Use conservation of energy problem $$E_i = E_f$$ to determine work done by the spring.