# Work done by the spring on an object

1. Apr 13, 2007

### DrHughes

20) An ideal spring is hung vertically from the ceiling. When a mass 2.0 kg hangs at rest from it, the spring is extended 6.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10cm. While the spring is being extended by the force, the work done by the spring is:

a) – 4.2 J
b) – 3.6 J
c) – 3.4 x 10-5 J
d) 3.6 J
e) 4.2 J

I know formulas like Fsp = 1/2 kx^2 etc .etc.
I still dont know how to put them to use in this context

2. Apr 13, 2007

### Dick

The formula you wrote is for the potential energy of the spring - not the force. This is not a good start. You'll have to make a better start before people can begin to help you.

3. Apr 14, 2007

### daniel_i_l

If you want you can use energy to solve this question. Do you know how work and the change of potential energy are related?

4. Apr 14, 2007

### Staff: Mentor

There's nothing wrong with using this formula for spring PE, if you know what it means. (Check your text!)

You can also attack the problem directly by considering the definition of work.