A child pulls on a wagon with a force of 75 N. If the wagon moves a total of 42 m in 3 min, what is the average power generated by the child, in watts?

Question

BlackTom AI · Accepted Answer

To tackle this problem, I’ll start by identifying the basic relationships involved in simple work and power calculations.
Option A: 24.6 W. This value would imply a different combination of work done or time taken. If we assume the same force and distance, the work done is 75 N × 42 m = 3150 J, and dividing by time is what gives power. With a time of 180 s (3 minutes), 3150 J / 180 s = 17.5 W, not 24.6 W, so this option is inconsistent with the given numbers.
Option B: 22.3 W. This is another plausibly close guess, perhaps arising from dividing 3150 J by a slightly shorter time, but the time given is fixed at 3 minutes (180 s). Since 3150 / 180 equals 17.5, 22.3 W does not match the correct time interval and is therefore incorrect.
Option C: 27.4 W. This value would result from a larger power than the actual calculation or from miscounting the work or time, such as using a smaller time than 180 s or a larger distance, which is not stated. Given the exact work 3150 J and the exact time 180 s, this figure is not supported by the data.
Option D: 17.5 W. This option matches the fundamental formula: Power = Work / Time, with Work = Force × Distance = 75 N × 42 m = 3150 J, and Time = 3 min = 180 s. Therefore, Power = 3150 J / 180 s = 17.5 W, which aligns perfectly with the given measurements.
In summary, the key steps are to compute work from force and displacement, convert time to seconds, and apply Power = Work / Time. The other options represent common mistakes such as using incorrect time, miscalculating work, or mixing up units, but none fit the provided numbers. The only calculation that aligns with all given quantities yields 17.5 W.

A child pulls on a wagon with a force of 75 N. If the wagon moves a total of 42 m in 3 min, what is the average power generated by the child, in watts? 单项选择题

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