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)

Question

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)

Answer 1

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

Question

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)

Solution

Answer