Question

При кратковременных усилиях человек массой 75 кг может без труда за 6 с взбежать по лестнице на высоту 12 м определить мощность развиваемую человеком

Answer 1

P=A/t=m*g*h/t=75*10*12/6=1500 Вт

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Answer 2

Calculation of Power

To determine the power developed by a person while climbing stairs, we can use the formula:

Power = Work / Time

In this case, the work done is equal to the gravitational potential energy gained by the person while climbing the stairs. The gravitational potential energy is given by the formula:

Gravitational Potential Energy = mass * gravity * height

Given: - Mass of the person = 75 kg - Height of the stairs = 12 m - Time taken to climb the stairs = 6 s

Let's calculate the power developed by the person.

Step 1: Calculate the gravitational potential energy gained by the person. Gravitational Potential Energy = mass * gravity * height

Using the approximate value of gravity as 9.8 m/s^2: Gravitational Potential Energy = 75 kg * 9.8 m/s^2 * 12 m

Step 2: Calculate the power developed by the person. Power = Gravitational Potential Energy / Time

Substituting the values: Power = (75 kg * 9.8 m/s^2 * 12 m) / 6 s

Now, let's calculate the power.

Power = (75 * 9.8 * 12) / 6 = 1470 watts

Therefore, the power developed by a person with a mass of 75 kg while climbing stairs to a height of 12 m in 6 seconds is approximately 1470 watts.

Please note that this calculation assumes that the person is climbing the stairs at a constant speed and there are no other factors affecting the power output.