Question

Школяр вибігає на третій поверх школи за 20 с. Яку потужність він при цьому розвиває? Висота одного поверху 4 м, а маса школяра 40 кг.​

Answer 1

Ответ:

Решение изображено на фото

Answer 2

Calculation of Power

To calculate the power developed by the schoolboy when running up to the third floor, we can use the formula for power:

Power (P) = Work (W) / Time (t)

The work done is equal to the change in potential energy, which can be calculated using the formula:

Work (W) = Force (F) * Distance (d)

The force required to lift the schoolboy is equal to his weight, which can be calculated using the formula:

Force (F) = Mass (m) * Acceleration due to gravity (g)

Given: - Height of one floor (h) = 4 m - Mass of the schoolboy (m) = 40 kg - Time taken (t) = 20 s

Calculation Steps

1. Calculate the work done to lift the schoolboy to the third floor: - Work (W) = Force (F) * Distance (d) - Force (F) = Mass (m) * Acceleration due to gravity (g) - Distance (d) = Height of one floor (h) * 3 - Work (W) = F * d

2. Calculate the power developed by the schoolboy: - Power (P) = Work (W) / Time (t)

Calculation

Let's calculate the power developed by the schoolboy using the given values.

First, we calculate the force required to lift the schoolboy: - Force (F) = Mass (m) * Acceleration due to gravity (g) - F = 40 kg * 9.81 m/s^2 (standard acceleration due to gravity)

Next, we calculate the work done to lift the schoolboy to the third floor: - Distance (d) = 4 m * 3 - Work (W) = F * d

Finally, we calculate the power developed by the schoolboy: - Power (P) = Work (W) / Time (t)

Let's perform the calculations.