Question

Масса человека в неподвижном лифте равна 600 Н, а в подвижном 540 Н. Узнать модуль и направление ускорения, с каким двигался лифт.

Answer 1

F=ma
F1=600=mg
g=10    m=60
F2=540=ma
a=9   Лифт движется с ускорением 1 м/с^2 внизу 

Answer 2

Calculation of Acceleration and Direction of the Elevator

To determine the acceleration and direction of the elevator, we need to consider the forces acting on it. In this case, we have two forces: the weight of the elevator and the tension in the supporting cable.

The weight of the elevator is given as 600 N in the stationary elevator and 540 N in the moving elevator The weight of an object is equal to its mass multiplied by the acceleration due to gravity. Therefore, we can calculate the mass of the elevator using the formula:

Weight = mass × acceleration due to gravity

For the stationary elevator: 600 N = mass × acceleration due to gravity

For the moving elevator: 540 N = mass × acceleration due to gravity

Since the acceleration due to gravity is the same in both cases, we can equate the two equations:

600 N = 540 N

This implies that the mass of the elevator is the same in both cases.

Now, let's determine the acceleration of the elevator. 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:

Net force = mass × acceleration

In the stationary elevator, the net force is equal to the weight of the elevator:

Net force = 600 N

In the moving elevator, the net force is equal to the difference between the weight of the elevator and the tension in the supporting cable:

Net force = 540 N - Tension

Since the mass of the elevator is the same in both cases, we can equate the two equations:

600 N = 540 N - Tension

Solving for the tension, we find:

Tension = 540 N - 600 N = -60 N

The negative sign indicates that the tension in the supporting cable is in the opposite direction to the weight of the elevator.

Now, let's calculate the acceleration of the elevator. We can rearrange Newton's second law of motion to solve for acceleration:

Acceleration = Net force / mass

In the stationary elevator: Acceleration = 600 N / mass

In the moving elevator: Acceleration = (540 N - Tension) / mass

Since the mass of the elevator is the same in both cases, the acceleration of the elevator is the same in both cases.

To determine the direction of the acceleration, we need to consider the sign of the net force. In the stationary elevator, the net force is positive (equal to the weight of the elevator), indicating that the elevator is not accelerating. In the moving elevator, the net force is negative (equal to the difference between the weight of the elevator and the tension in the supporting cable), indicating that the elevator is accelerating downward.

Therefore, the module of the acceleration is the same in both cases, and the direction of the acceleration in the moving elevator is downward.

Please note that the exact value of the acceleration and the direction may vary depending on the specific circumstances and assumptions made in this calculation.

Conclusion

The module of the acceleration with which the elevator is moving is the same in both the stationary and moving cases. However, the direction of the acceleration in the moving elevator is downward.

Please let me know if there is anything else I can help you with.