# Spring constant with given mass, find Work

#### BC2210

1. The problem statement, all variables and given/known data

A block of mass 1.50 kg is attached to one end of a horizontal spring, the other end of which is fixed to a vertical wall. The spring has a stifffness constant of 2000 N/m. The block slides without friction on a horizontal table, set close to the wall. Find the work done by the spring force if the block moves (a) from the equilibrium position till the spring is stretched by 10.0 cm, (b) from this last position till the sring is compressed by 3.00 cm.

2. Relevant equations

Work = Integral from initial position to final position of the Force of the spring?

3. The attempt at a solution

Im not really sure where to begin with this one, we just started the chapter on Work!

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#### BC2210

F of spring = -k$$\Delta$$x?

So -2000 * 10cm?

And then integrate from 0 to 10cm of the product?

#### BC2210

A) (1/2)*(2000)*(-.1m)^2 ???

"Spring constant with given mass, find Work "

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