Calculating Work done by the Earth and the work done by the Spring

[Paul36]

Homework Statement

A mass of 0.091 kg hangs from a vertical spring in the lab room. You pull down on the mass and throw it vertically downward. The speed of the mass just after leaving your hand is 3.80 m/s.

Homework Equations

(a) While the mass moves downward a distance of 0.09 m, how much work was done on the mass by the Earth? Include the appropriate sign.
Work done by Earth = ...Joules

(b) At the instant in part (a) when the mass has moved downward a distance of 0.09 m, the speed of the mass has decreased to 2.13 m/s. How much work was done on the mass by the spring? Include the appropriate sign.
Work done by spring = ...Joules

The Attempt at a Solution

To calculate Work I'm using the formula F times displacement
So for (a) I calculated:
0.09m X -9.8m/s/s X 0.091kg = -0.080262J
is that correct?
For part B I have no idea what to do?
Thanks if you can help.

 

[inutard]

Part B mainly requires for you to calculate the difference in the kinetic energy.

 

[Doc Al]

To calculate Work I'm using the formula F times displacement
So for (a) I calculated:
0.09m X -9.8m/s/s X 0.091kg = -0.080262J
is that correct?

Except for the sign. What determines the sign of the work done is whether the force and displacement are in the same direction or not. If they are, the work done is positive.

For part B I have no idea what to do?

What's the net work done on the mass?