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Question
- four weightlifters in a competition lift the same amount of weight the same distance. which weightlifter produces the most power? weightlifter c lifts the weight in 1 second. weightlifter b lifts the weight in 0.5 seconds. weightlifter a lifts the weight in 2 seconds. weightlifter d lifts the weight in 1.5 seconds.
Step1: Recall power formula
Power is defined as $P = \frac{W}{t}$, where $W$ = work done, $t$ = time.
Step2: Note work is constant
All weightlifters do equal work: $W = mgh$, same $m,g,h$.
Step3: Relate power to time
Since $W$ is fixed, $P \propto \frac{1}{t}$ (smaller $t$ = larger $P$).
Step4: Compare time values
0.5 s < 1 s < 1.5 s < 2 s. Weightlifter B has the smallest time.
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B. Weightlifter B lifts the weight in 0.5 seconds.