Question

Ліфт за одну хвилину рівномірно піднімає людину масою 80 кг на висоту 36 м .яка потужність ліфта

Answer 1

Дано:
t=60 с
m=80 кг
h=36 м
g=10 Н/кг
Найти N
N=A/t
A=mgh
N=mgh/t

Answer 2

Calculation of Power

To calculate the power of the elevator, we can use the formula:

Power = Work / Time

The work done by the elevator is equal to the force applied multiplied by the distance traveled. In this case, the force is equal to the weight of the person being lifted, and the distance is equal to the height the person is lifted.

Given: - Mass of the person = 80 kg - Height lifted = 36 m - Time taken = 1 minute = 60 seconds

We need to convert the time from minutes to seconds to ensure consistent units.

Calculation Steps

1. Convert the time from minutes to seconds: 1 minute * 60 seconds/minute = 60 seconds. 2. Calculate the force applied by the elevator using the formula: Force = Mass * Gravity. The acceleration due to gravity is approximately 9.8 m/s^2. - Force = 80 kg * 9.8 m/s^2 = 784 N. 3. Calculate the work done by the elevator using the formula: Work = Force * Distance. - Work = 784 N * 36 m = 28,224 J. 4. Calculate the power using the formula: Power = Work / Time. - Power = 28,224 J / 60 s = 470.4 W.

Answer

The power of the elevator is approximately 470.4 Watts.

Please note that this calculation assumes the elevator operates at 100% efficiency, which may not be the case in real-world scenarios.