Given:
The mass of the runner is m = 75 kg
The final height is h_f = 13 m.
The initial height is h_i = 0 m
The time taken is t = 8 s
To find the work done and power.
Explanation:
The work done can be calculated by the formula
[tex]\begin{gathered} W=\text{ change in potential energy} \\ =mgh_f-mgh_i \end{gathered}[/tex]Here, g = 9.8 m/s^2 is the acceleration due to gravity.
On substituting the values, the work done will be
[tex]\begin{gathered} W\text{ = 75}\times9.8\times13-75\times9.8\times0 \\ =9555\text{ J} \end{gathered}[/tex]The power can be calculated as
[tex]\begin{gathered} P=\frac{W}{t} \\ =\frac{9555}{8} \\ =1194.37\text{ W} \end{gathered}[/tex]
