How much power does a 63.0 kg athlete develop as he climbs a 5.2 meter rope in 3.5 sec
force = weight = m g = 63 * 9.81
speed = 5.2 / 3.5
power = force * speed
To calculate the power developed by the athlete, we need to use the formula:
Power = Work / Time
Work is the product of force and distance. In this case, the force is equal to the weight of the athlete, which can be calculated using the formula:
Force = mass × gravity
where mass is 63.0 kg and gravity is approximately 9.8 m/s^2. Plugging in the values:
Force = 63.0 kg × 9.8 m/s^2
Now we need to calculate the work done by the athlete. Work is given by the formula:
Work = Force × Distance
In this case, the distance is 5.2 meters. Plugging in the values:
Work = (63.0 kg × 9.8 m/s^2) × 5.2 m
Finally, we can calculate the power:
Power = Work / Time
In this case, the time is 3.5 seconds. Plugging in the values:
Power = (63.0 kg × 9.8 m/s^2 × 5.2 m) / 3.5 s
Calculating this, we would get the power developed by the athlete as the answer.