3. A atudent with a mass of 691 kg runs 2.09 m up the Campion stairs in 2.44 8. His teacher with a mass of 100 kg runs up the same stairs in 3.00 8. Which person-bac greater power? (4)

Here's how to determine who generated greater power:<br /><br />**1. Calculate the work done by each person:**<br /><br />* **Work = Force x Distance**<br />* Force is equal to the person's weight (mass x gravity). We'll use 9.8 m/s² for gravity.<br /><br />* **Student:**<br /> Force (student) = 691 kg * 9.8 m/s² = 6771.8 N<br /> Work (student) = 6771.8 N * 2.00 m = 13543.6 J<br /><br />* **Teacher:**<br /> Force (teacher) = 100 kg * 9.8 m/s² = 980 N<br /> Work (teacher) = 980 N * 2.00 m = 1960 J<br /><br />**2. Calculate the power generated by each person:**<br /><br />* **Power = Work / Time**<br /><br />* **Student:**<br /> Power (student) = 13543.6 J / 2.448 s = 5531.5 Watts<br /><br />* **Teacher:**<br /> Power (teacher) = 1960 J / 3.898 s = 502.8 Watts<br /><br />**3. Compare the power outputs:**<br /><br />The student generated 5531.5 Watts of power, while the teacher generated 502.8 Watts.<br /><br />**Conclusion:**<br /><br />The student generated significantly greater power.<br />