An 8000 kg elevator is supported by a steel cable. If the acceleration of the elevator is 1.4 m/s^2 upward, then find the tension in the cable.
T = M*g + M*a = M(g+a) = 8000*11.2 =
To find the tension in the cable, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is the tension in the cable, the mass is 8000 kg, and the acceleration is 1.4 m/s^2 upward.
The formula for Newton's second law of motion is:
F = m * a
where F is the net force, m is the mass, and a is the acceleration.
So, to find the tension in the cable, we can substitute the given values into the formula:
F = 8000 kg * 1.4 m/s^2
Now we can calculate the tension in the cable:
F = 11200 kg * m/s^2
Therefore, the tension in the cable is 11200 Newtons.