Final answer:
The question involves using the kinetic energy formula to solve for the mass of an athlete, given their speed and kinetic energy. By rearranging the kinetic energy equation, one can calculate the athlete's mass with the provided values for speed and kinetic energy.
Step-by-step explanation:
The student's question pertains to kinetic energy and involves calculating the mass of an athlete given their constant speed and kinetic energy. The formula for kinetic energy (KE) is KE = ½mv², and when solved for mass (m), it becomes m = 2KE/v². Using the provided values:
- KE = 3,400 J (kinetic energy of the athlete)
- v = 10.2 m/s (constant speed of the athlete)
Inserting these values into the mass formula, we get:
m = 2 × 3,400 J / (10.2 m/s)²
After calculation, the mass (m) of the athlete can be determined. This type of problem is typical in Physics and involves concepts like energy conservation and motion dynamics.