In the rope climb, a 68 athlete climbs a vertical distance of 9.0 in 13 .
What minimum power output was used to accomplish this feat?
In Watts
To calculate the minimum power output used to climb the rope, we need to use the equation:
Power = Work / Time
First, we need to calculate the work done by the athlete. The work is given by the formula:
Work = Force x Distance
In this case, the force is equal to the weight of the athlete, which can be calculated using the formula:
Force = mass x gravity
For this problem, we assume that the total mass of the athlete is given and that the acceleration due to gravity is 9.8 m/s².
Using these values, we can calculate the force and work done:
Force = 68 kg x 9.8 m/s² = 666.4 N
Work = Force x Distance = 666.4 N x 9.0 m = 5997.6 Joules
Now, we can substitute the values into the power equation:
Power = Work / Time = 5997.6 J / 13 s ≈ 461.35 Watts
Therefore, the minimum power output used by the athlete to climb the rope is approximately 461.35 Watts.