An elevator weighing 19,000 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 3.00 m/s²? (g = 9.80 m/s²)

Question

Quizplus · Accepted Answer

The tension in the cable can be found using the equation T = mg + ma, where T is tension, m is the mass, g is the acceleration due to gravity, and a is the acceleration of the elevator. 
First, we need to find the mass of the elevator, which can be obtained using the formula m = F/g, where F is the weight of the elevator (given as 19,000 N) and g is the acceleration due to gravity (given as 9.80 m/s^2). 
m = F/g = 19,000/9.80 = 1,938.77 kg
Now, we can plug in the values in the equation for tension: 
T = mg + ma 
T = (1,938.77)(9.80) + (1,938.77)(3.00) 
T = 24,800 N
Therefore, the tension in the cable is 24,800 N, which is option D.

An Elevator Weighing 19,000 N Is Supported by a Steel