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The drawing shows a hydraulic chamber with a spring (spring constant = 1780 N/m)

ID: 2245472 • Letter: T

Question

The drawing shows a hydraulic chamber with a spring (spring constant = 1780 N/m) attached to the input piston and a rock of mass 48.0 kg resting on the output plunger. The piston and plunger are nearly at the same height, and each has a negligible mass. By how much is the spring compressed from its unstrained position?

The drawing shows a hydraulic chamber with a spring (spring constant = 1780 N/m) attached to the input piston and a rock of mass 48.0 kg resting on the output plunger. The piston and plunger are nearly at the same height, and each has a negligible mass. By how much is the spring compressed from its unstrained position?

Explanation / Answer

According to the Pascal law


The Pressure Remain Constant


Therefore


F/A = Constant


Therefore


F/15 = (48*9.8)/65


F = 108.554 N



F = kx


Therefore


x = F/k


= (108.554)/(1780)


= 0.06098 m



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