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Answer :
Final answer:
Calculate power by first calculating work using the formula W = mgh, where m is mass, g is gravity, and h is height. From there, divide the work by time to get power. The cyclist's (given mass 135 kg & height 40 m) power output is approximately 2118 W.
Explanation:
In physics, the power output of a cyclist can be calculated using the formula P = W/t, where P is power, W is work done, and t is time. Work done is calculated by the formula W = m*g*h, where m is mass, g is gravity (approximated as 9.8m/s² on Earth), and h is height.
For this cyclist whose mass is 135 kg and height (displacement) is 40.0 m, the work done (W) can be calculated as: W = 135 kg * 9.8 m/s² * 40 m = 52920 Joules. Then, we calculate power using time which is 25s. So, P = 52920 J / 25 s = approximately 2118 W. Hence, the correct answer is (b) 2110 W, which is approximately equal to the calculated value.
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