An elevator weighing 2.00 x 10 5 N is supported by a steel cable. What is the tension in the cable when the elevator is accelerated upward at a rate of 3.00 m/s2? (g = 9.81 m/s2) Show your work.

First, we will get the mass of the elevator:

Fw = mass * gravitational acceleration

2 * 10^5 = mass * 9.8

mass = 20.4 * 10^3 kg

Now, the total force acting on the elevator can be written as follows:

Fnet = Tension - Fw

mass * acceleration = Tension - 2*10^5

20.4 * 10^3 * 3 = Tension - 2*10^5

61200 = Tension - 2*10^5

Tension = (61200) + (2*10^5)

Tension = 2.61 * 10^5 newton