Question

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?

Answer 1

Answer:

12800 N

Explanation:

Answer 2

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

Given he following data:

• Mass of elevator = 1000 kg

• Acceleration = 3 $m/s^2$

Scientific data:

• Acceleration due to gravity = 9.8 $m/s^2$

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

$T= m(a+g)$

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;

$T= 1000(3+9.8)\\\\T= 1000(12.8)$

Tension, T = 12800 Newton.

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