3. A student with a mass of 59.1 kg runs 2.89 m up the Campion stairs in 2.44 s. His teacher with a mass of 100 kg runs up the same stairs in 3.89 s. Which person-has greater power? (4)

Here's how to determine who has greater power:<br /><br />**1. Calculate the work done by each person:**<br /><br />* **Work (W) = Force (F) x Distance (d)**<br />* **Force (F) = mass (m) x acceleration due to gravity (g)** (We'll use g = 9.8 m/s²)<br /><br />* **Student:**<br /> * F = 59.1 kg * 9.8 m/s² = 579.18 N<br /> * W = 579.18 N * 2.89 m = 1673.83 J<br /><br />* **Teacher:**<br /> * F = 100 kg * 9.8 m/s² = 980 N<br /> * W = 980 N * 2.89 m = 2832.2 J<br /><br />**2. Calculate the power of each person:**<br /><br />* **Power (P) = Work (W) / Time (t)**<br /><br />* **Student:**<br /> * P = 1673.83 J / 2.44 s = 685.99 W<br /><br />* **Teacher:**<br /> * P = 2832.2 J / 3.89 s = 728.07 W<br /><br />**3. Compare the power:**<br /><br />The teacher has a power of 728.07 W, while the student has a power of 685.99 W. Therefore, the **teacher** has greater power.<br />