Question

An elevator packed with people has a mass of 1550 kg..The elevator accelerates upward (in the positive direction) from rest at a rate of 155 m/s² for 2.4 s. Calculate the tension in the cable supporting the elevator in newtons

a)T- 17592
b)T-17590

Answer 1

To calculate the tension in the cable supporting the elevator when it accelerates upward, we can use Newton's second law of motion. The tension in the cable supporting the elevator is approximately 240,250 N.

Step-by-step explanation:

To calculate the tension in the cable supporting the elevator when it accelerates upward, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.

In this case, the net force is the tension in the cable, the mass of the elevator is 1550 kg, and the acceleration is 155 m/s². So, the tension in the cable can be calculated using the equation:
Tension = mass * acceleration
Tension = 1550 kg * 155 m/s²
Tension ≈ 240,250 N

Therefore, the tension in the cable supporting the elevator is approximately 240,250 N.