Final answer:
The frequency of the diver’s bounce can be calculated using the formula frequency = 1 / period. By substituting the given values of the diver’s mass and the spring constant, we can calculate the period of the motion. Finally, we can use the formula frequency = 1 / period to determine the frequency of the diver's bounce.
Step-by-step explanation:
The frequency of the diver's bounce can be determined using the formula:
frequency = 1 / period
Given that the mass of the diver is 70.0 kg and the spring constant of the diving board is 3,062 N/m, we can calculate the period of the motion:
period = 2π√(m/k)
where m is the mass and k is the spring constant. Substituting the values, we get:
period = 2π√(70.0/3,062)
Once we have the period, we can use the formula to calculate the frequency:
frequency = 1 / period
Substituting the calculated value of the period, we find:
frequency = 1 / (2π√(70.0/3,062))
Calculating this value will give us the frequency of the diver's bounce.