420aidennelson2005
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A 1000 kg elevator is rising and its speed is increasing with an acceleration of 3 m/s^2. What is the resulting tension in the vertical cable that is lifting the elevator?

Respuesta :

Answer:

12800 N

Explanation:

Lanuel

The resulting tension in the vertical cable is equal to 12800 Newton.

Given he following data:

  • Mass of elevator = 1000 kg
  • Acceleration = 3 [tex]m/s^2[/tex]

Scientific data:

  • Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]

Mathematically, the resulting tension in the vertical cable is given by this formula:

[tex]T= m(a+g)[/tex]

Where:

  • a is the acceleration.
  • m is the mass of the elevator.
  • g is acceleration due to gravity.

Substituting the given parameters into the formula, we have;

[tex]T= 1000(3+9.8)\\\\T= 1000(12.8)[/tex]

Tension, T = 12800 Newton.

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