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The drawing shows a hydraulic chamber with a spring (spring constant = 1520 N/m)

ID: 2245124 • Letter: T

Question

The drawing shows a hydraulic chamber with a spring (spring constant = 1520 N/m) attached to the input piston and a rock of mass 47.0 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 = 1520 N/m) attached to the input piston and a rock of mass 47.0 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

Force /area = 47*9.8 / 65 = F/15

F = 106.29 N

compression of the spring = F /k = 106.29/1520 =0.0699 = 0.07m

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