vacuum/spring question ^_^?

Question

A cylinder is fitted with a piston under which is a spring. The cylinder is open and the top and there is no friction. The spring constant is 3200 N/m. The piston has negligible mass and a radius of 0.025m...when the air above the piston is completely pumped out how much does the atmospheric pressure cause the spring to compress??

Thank you for any help that you can offer

Answer 1

the atmosphere has a 'standard' pressure of 101,325 Pa, or N/m^2.
so the pressure on the cylinder is the are times pressure.
force = pi x .025x.025 x 101,325N/m^2
that force is countered by the spring.
displacement = force / 3200