Question

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 19.0 cm . you plot your data as v2max versus 1/m and find that the data lie close to a straight line that has slope 9.62 n⋅m .

Answer 1

In the described SHM experiment, the mass of a block attached to a spring affects its maximum speed, and a plot of maximum speed squared versus the inverse of mass gives a straight line indicating the relationship between these variables in the context of SHM physics.

Step-by-step explanation:

The scenario describes a simple harmonic motion (SHM) experiment where a block of mass m is attached to a horizontal spring with force constant k. The maximum speed vmax of the block is measured for different masses while maintaining a constant amplitude of 19.0 cm. When plotting v2max versus 1/m, the slope of the fitted line is found to be 9.62 N·m. This slope is directly related to the amplitude and spring constant based on the principles of SHM, where the equation v2max = kA2/m holds true. This relationship can be used to derive the mass of the block and the spring constants in similar setups or to analyze other SHM situations such as vertical springs and diver's motion on a diving board in SHM.