Stacy has a hollow can with an air tight plunger in the open end that can slide in and out without friction. The inside has a compressed spring that presses on the plunger outward, and there is a vacuum on the inside of the can. On the outside, the pressure of the atmosphere or some other fluid can press on the plunger to move it deeper into the can. The spring constant of the spring is k = 85 N/m and when the external pressure changes by 410 Pa, the spring is compressed an additional 3.5 cm. What is the radius of the plunger? For your physical representation, draw a free-body-diagram of the forces acting on the plunger.

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