how much power does a 63kg athlete develops as he climbs a 5.2m rope in 3.5 second
power = m * g * h / t = 63 * 9.8 * 5.2 / 3.5 (watts)
To calculate the power developed by the athlete, we can use the formula:
Power = Work / Time
First, we need to calculate the work done by the athlete. The work is equal to the force applied multiplied by the distance traveled. In this case, the force applied is the weight of the athlete, which can be calculated using the formula:
Weight = mass * gravity
where the mass is given as 63 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 63 kg * 9.8 m/s^2 = 617.4 N
Now, we can calculate the work done:
Work = force * distance
where the distance is given as 5.2 m.
Work = 617.4 N * 5.2 m = 3212.8 Joules
Finally, we can calculate the power:
Power = Work / Time
where the time is given as 3.5 seconds.
Power = 3212.8 J / 3.5 s = 918.5 Watts
Therefore, the athlete develops approximately 918.5 Watts of power while climbing the rope.