Final answer:
The power output of the boy when running up the staircase is approximately 523 Watts.
Step-by-step explanation:
To calculate the power output when running up a staircase, we need to use the formula: Power = Work / Time.
The work done by the boy is equal to the change in potential energy. The potential energy change is given by PE = mgh, where m is mass (60 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the staircase (2.0 m).
Substituting the values and the given time (1.5 s) into the power formula, we get: Power = (PE / Time) = (mgh / Time) = (60 kg × 9.8 m/s^2 × 2.0 m) / 1.5 s = 784 J / 1.5 s = 522.67 W.
Therefore, the boy's power when running up the staircase is approximately 523 Watts.