Question

1. two swimmers compete in a race. under what condition do the swimmers have the same power? (1 point) ○ when both swimmers cover the same distance. ○ when one of the swimmers crosses the finish line. ○ when they do different amounts of work, but take the same time. ○ when both swimmers do work at the same rate.

Explanation:

Power is defined as the rate at which work is done, i.e., \( P=\frac{W}{t} \), where \( P \) is power, \( W \) is work, and \( t \) is time.

• Option 1: Same distance doesn't relate to power directly (power depends on work and time, not just distance).
• Option 2: One crossing finish line doesn't imply same power (no info on work or time).
• Option 3: If work amounts are different and time is same, \( P=\frac{W}{t} \) would be different (since \( W \) differs, \( P \) differs).
• Option 4: If both do work at the same rate, rate of work is power, so their power is same.

Answer:

D. When both swimmers do work at the same rate.