A cylinder is fitted with a piston, beneath which is a spring, as in the drawing

Question

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3538 N/m. The piston has a negligible mass and a radius of 0.023 m.

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3538 N/m. The piston has a negligible mass and a radius of 0.023 m. When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? How much work does the atmospheric pressure do in compressing the spring?

Explanation / Answer

Pressure = 101325

so... force on spring = presure * area = 101325 * pi * 0.023^2 = 168.3923 N

so.. compresion x = force / k = 168.3923/ 3538 = 0.0476 m


b) work done = 0.5 * k * x^2 = 0.5 * 3538*0.0476^2 = 4.007343 J

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