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Answer :
Final answer:
The power of the athlete is approximately 178 watts.
Explanation:
The power of an athlete can be calculated using the formula:
Power = Work / Time
First, we need to calculate the work done by the athlete. The work done against gravity is given by:
Work = Force * Distance
The force can be calculated using:
Force = Mass * Acceleration
In this case, the acceleration due to gravity is the acceleration. So, the force is:
Force = Mass * Acceleration
The distance can be calculated by multiplying the number of steps by the height of each step:
Distance = Number of steps * Height of each step
Substituting these values into the formula for work, we get:
Work = (Mass * Acceleration) * (Number of steps * Height of each step)
Finally, we can calculate the power by dividing the work by the time:
Power = Work / Time
Plugging in the given values, we get the power of the athlete to be approximately 178 watts (option b).
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