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Answer :
Final answer:
To find the power output, calculate the work done by the athlete using the force exerted and distance covered, and then apply the formula for power. The power output for the athlete running up the stairs is 210 Watts. Therefore, correct option is a).
Explanation:
Power is calculated by dividing the work done by the time taken. In this case, the work done is the force the athlete exerts multiplied by the distance covered. The formula for power is P = W/t.
Given that the athlete's weight is 60 kg, the force exerted is the gravitational force acting on the athlete, which is their weight, W = mg. Once you calculate the work done, you can then determine the power output.
Using the given values of height, time, and weight, the power output is calculated to be 210 Watts (a).
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Final answer:
Therefore, the correct answer is c. 196 Watt.
Explanation:
An athlete weighing 60 kg runs up a staircase having 10 steps each having a height of 1 m in 30 seconds. To find their power, we use the formula for power P = W / t, where W is the work done and t is the time taken. The work done is given by the gravitational potential energy formula, which is W = mgh, where m is the mass, g is the acceleration due to gravity (9.81 m/s2), and h is the height.
Here, the total height (h) is 10 m since there are 10 steps each 1 m high. Thus, W = 60 kg × 9.81 m/s2 × 10 m = 5886 Joules. Now, we divide the work done by the time to find the power: P = 5886 J / 30 s = 196 Watt. Therefore, the correct answer is c. 196 Watt.
