The figure below shows a hydraulic chamber in which a spring (spring constant =

Question

The figure below shows a hydraulic chamber in which a spring (spring constant = 1640N/m) is attached to the input piston (A1=14.6cm^2), and a rock of mass 39.4kg rests on the output plunger (A2 = 65.7cm^2).The piston and plunger are at the same height, and each has a negligible mass. By how much is the spring compressed from its unstrained position?

The figure below shows a hydraulic chamber in which a spring (spring constant = 1640N/m) is attached to the input piston (A1=14.6cm^2), and a rock of mass 39.4kg rests on the output plunger (A2 = 65.7cm^2).The piston and plunger are at the same height, and each has a negligible mass. By how much is the spring compressed from its unstrained position?

Explanation / Answer

force on spring = 39.4 * 9.8 * A1 / A2   = 39.4 * 9.8 * 14.6 / 65.7 = 85.8044 N

so.. 85.804 = 1640 * x

so.. coompression x = 0.05232 m = 5.232 cm

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