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 3.00 m/s²? (g = 9.80 m/s²) A)13 900 N B)23 100 N C)20 000 N D)26 100 N

Question

Quizplus · Accepted Answer

To determine the tension in the cable, we need to use Newton's second law of motion, which states that the net force on an object is equal to its mass times its acceleration. In this case, the elevator is the object, and its mass is not given, but we can use the weight of the elevator (20,000 N) and the acceleration (3.00 m/s2) to find it:

Fnet = ma 
T - mg = ma 
T = m(g + a)

where T is the tension, m is the mass of the elevator, g is the acceleration due to gravity (9.80 m/s2), and a is the upward acceleration of the elevator (3.00 m/s2).

Substituting the given values:

T = (20,000 N) * (9.80 m/s2 + 3.00 m/s2) 
T = 26,100 N

Therefore, the tension in the cable is 26,100 N, which is answer choice D.

An Elevator Weighing 20 000 N Is Supported by a Steel