Question
Yuri, a Russian weightlifter, is able to lift 250 kg 2.00 m in 2.00 s . What is his power output? 1) 500 W 2) 2.45 kW 3) 4.90 kW 4) 9.80 kW 5) 10.0 kW
Ask by Barker Chang. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Yuri's power output is 2.45 kW.
Solution
To calculate Yuri's power output, follow these steps:
1. Calculate the work done using the formula for gravitational potential energy:
Work = m × g × h
= 250 kg × 9.8 m/s² × 2.00 m
= 4900 Joules
2. Find the power by dividing the work by the time taken:
Power = Work / Time
= 4900 J / 2.00 s
= 2450 Watts, which is equivalent to 2.45 kW
Thus, the correct answer is 2) 2.45 kW.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To calculate power output, you can use the formula: Power (P) = Work (W) / time (t). First, we need to find the work done. Work is calculated as W = force × distance. The force exerted by Yuri is equal to his weightlifted (mass × gravity). Assuming the acceleration due to gravity is approximately 9.81 m/s², the work done is: W = 250 kg × 9.81 m/s² × 2.00 m = 4905 J. Now, divide the work done by the time it took to do it: P = 4905 J / 2.00 s = 2452.5 W, which is approximately equal to 2.45 kW. So, the correct answer is 2.45 kW.
