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A block with mass m is undergoing SHM on a horizontal, frictionless surface while attached to...

A block with mass m is undergoing SHM on a horizontal, frictionless surface while attached to a light, horizontal spring that has force constant k. You use motion sensor equipment to measure the maximum speed of the block during its oscillations. You repeat the measurement for the same spring and blocks of different masses while keeping the amplitude A at a constant value of 18.0 cm. You plot your data as v2max versus 1/m and find that the data lie close to a straight line that has slope 6.62 N⋅m.

What is the force constant k of the spring?

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Solution

Answer: Force constant K= 204.321 N/m

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