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)

Question

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)

Answer 1

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

Question

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)

Solution

Answer