An elevator weighing 20,000 N is supported by a steel cable.What is the tension in the cable when the elevator is being accelerated upward at a rate of 2.00 m/s²? (g = 9.80 m/s²) A) 13,900 N B) 23,100 N C) 24,100 N D) 26,100 N

Question

Quizplus · Accepted Answer

The force acting on the elevator can be found using Newton's Second Law:

F = ma

where F is the force, m is the mass (in kg), and a is the acceleration (in m/s^2).

First, we need to convert the weight of the elevator from N to kg:

20,000 N ÷ 9.80 m/s^2 = 2040.82 kg

Next, we can use the equation above to find the force:

F = ma = (2040.82 kg)(2.00 m/s^2)
F = 4081.64 N

However, since the elevator is being lifted by the steel cable, the force must be equal to the tension in the cable. Therefore, the tension is:

T = F = 4081.64 N ≈ 24,100 N

Therefore, the best choice is C.

An Elevator Weighing 20,000 N Is Supported by a Steel