Question

Вычислите силу натяжения троса при равноускоренном спуске кабины лифта массой 400 кг, если за 10 с она проходит расстояние 40 м M (V0=0, g = 9,8-) Срочно помогите пожалуйста

Answer 1

Ответ:

3600 Н

Объяснение:

m=400 кг    t=10 c     h=40 м   vo=0    g=9.8 м/с²    F=?

===

m*g-F=m*a

h=a*t²/2 ----> a=2*h/t²=2*40/10²=0.8 м/с²

F=m*(g-a)=400*(9.8-0.8)=3600 H

==============================

Answer 2

Calculation of Tension Force in an Elevator Cable

To calculate the tension force in the elevator cable during a uniformly accelerated descent, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the elevator cabin, and we need to find the tension force in the cable.

Given: - Mass of the elevator cabin (m) = 400 kg - Time taken to travel a distance (t) = 10 s - Distance traveled (d) = 40 m - Initial velocity (V0) = 0 - Acceleration due to gravity (g) = 9.8 m/s^2

To find the tension force, we can use the equation:

Tension force (T) = mass (m) × acceleration (a) + weight (mg)

First, let's calculate the acceleration (a) using the formula:

Acceleration (a) = 2 × (distance traveled (d) - initial velocity (V0) × time taken (t)) / (time taken (t))^2

Substituting the given values:

Acceleration (a) = 2 × (40 m - 0 × 10 s) / (10 s)^2

Simplifying the equation:

Acceleration (a) = 2 × 40 m / 100 s^2 = 0.8 m/s^2

Now, let's calculate the weight (mg) using the formula:

Weight (mg) = mass (m) × acceleration due to gravity (g)

Substituting the given values:

Weight (mg) = 400 kg × 9.8 m/s^2 = 3920 N

Finally, let's calculate the tension force (T) using the formula:

Tension force (T) = mass (m) × acceleration (a) + weight (mg)

Substituting the calculated values:

Tension force (T) = 400 kg × 0.8 m/s^2 + 3920 N

Simplifying the equation:

Tension force (T) = 320 N + 3920 N = 4240 N

Therefore, the tension force in the elevator cable during the uniformly accelerated descent is 4240 N.

Please note that the above calculations are based on the given information and assumptions.