A block with mass mm 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 (vmax)^2 versus 1/m and find that the data lie close to a straight line that has slope 9.62 N⋅m. What is the force constant kk of the spring? Express your answer with the appropriate units.

A block with mass mm 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 (vmax)^2 versus 1/m and find that the data lie close to a straight line that has slope 9.62 N⋅m. What is the force constant kk of the spring? Express your answer with the appropriate units.

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