A piston-cylinder device is filled with air. Initially, the piston is stabilized such that the length of the cylinder beneath the piston is 0.15 m. The piston has a diameter of 0.10 m. A weight with mass of 17.5 kg is placed on top of the piston, and the piston moves 0.030 m, such that the new length of the air-filled cylinder beneath the piston is 0.12 m. Determine the work done by the newly-added mass.
Given: x1 = 0.15 m; x2 = 0.12 m; D = 0.10 m; m = 17.5 kg
Assume: g = 9.81 m/s2
What will be an ideal response?
The force exerted by the mass equals the weight of the mass: W= mg = (17.5 kg)(9.81
m/s2) = 171.7 N
The negative sign indicates that this is work that is adding energy to the system – the air
under the piston in the cylinder
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