Final answer:
The student's questions are centered around the physics principles of simple harmonic motion as it applies to a diving board and springs. Calculations include amplitude, potential energy, maximum speed, and the effects of mass on frequency.
Step-by-step explanation:
The student's question involves the concept of simple harmonic motion (SHM) as it relates to a diving board without anyone on it. The effective mass of the diving board is given, along with its frequency, and the student is asked to calculate various properties related to the SHM of the board. For other problems, details are provided about divers of different masses and the impact on the frequency of SHM, as well as problems associated with vertical springs and maximum velocities.
These problems involve the understanding of SHM and oscillations, including the calculation of amplitude, potential energy, and maximum speed of objects undergoing SHM. As these questions pertain to physics principles such as force, mass, spring constants, and kinetic energy, they allow students to apply theoretical knowledge to practical, real-world scenarios, such as diving boards and springs.