Spring constant with given mass, find Work

AI Thread Summary
The discussion revolves around calculating the work done by a spring force on a block of mass 1.50 kg attached to a spring with a stiffness constant of 2000 N/m. To find the work done as the block moves from the equilibrium position to a stretch of 10.0 cm, the formula for spring force, F = -kΔx, is applied. The work is calculated using the integral of the spring force over the displacement, resulting in the equation W = (1/2) * k * (Δx)^2. For part (a), the work done when the spring is stretched by 10 cm is evaluated, while part (b) considers the work done when the spring is compressed by 3.00 cm. The discussion highlights the application of work-energy principles in the context of spring mechanics.
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Homework Statement



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.

Homework Equations



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

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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F of spring = -k\Deltax?

So -2000 * 10cm?

And then integrate from 0 to 10cm of the product?
 
A) (1/2)*(2000)*(-.1m)^2 ?
 

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