Final answer:
The speed of Karine Dubouchet when she reached a kinetic energy of 99,600 J with a mass of 51.0 kg was approximately 63 m/s using the formula v = √(2Ek/m).
Step-by-step explanation:
To determine the speed of Karine Dubouchet when she reached a record kinetic energy of 99,600 J with a mass of 51.0 kg, we can use the formula v = √(2Ek/m), where v is the speed, Ek is the kinetic energy, and m is the mass. Plugging in the given values, we get v = √(2*99,600 J / 51.0 kg). Calculating this, we find v = √(2*99,600 J / 51.0 kg), v = √(3,960 J/kg), v = 63 m/s (rounded to two significant figures). Therefore, the speed of Karine Dubouchet was approximately 63 m/s.