In a race, a 54kg athlete runs fr o m rest to a speed of 11 m/s on a flat surface. The athlete’s body has an efficiency of 85% during the run. How much input energy did the athlete provide?
To find the input energy provided by the athlete, we can use the equation:
Input Energy = (1 - efficiency) x output energy
The output energy can be calculated using the formula:
Output Energy = 0.5 x mass x velocity^2
Plugging in the given values, we have:
Output Energy = 0.5 x 54 kg x (11 m/s)^2 = 3348 J
Now, plugging the output energy and efficiency into the first equation, we get:
Input Energy = (1 - 0.85) x 3348 J = 0.15 x 3348 J = 502.2 J
Therefore, the athlete provided approximately 502.2 J of input energy.