A spring hangs down vertically from a support. You hang a block, with a weight o

Question

A spring hangs down vertically from a support. You hang a block, with a weight of mg = 32.0 N, from the bottom end of the spring. When the block is at equilibrium, the spring is stretched by 28.0 cm from its natural length. You also have a beaker of liquid, sitting on a scale. The scale reads 29.0 N, which is the total weight of the beaker and the liquid. You then carefully re-position everything so the block, still hanging vertically down from the spring, is partly submerged in the liquid. No liquid spills from the beaker. Now, with the block at equilibrium, the spring is only stretched by 11.0 cm from its natural length. What is the spring constant of the spring? (N/m)

Explanation / Answer

k(0.28) = 32 k = 114.286 N/m

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