The tension in the cable supporting a 4900N elevator is 3800N. What is the acceleration of the elevator?
mass = mg/g = 4900/9.81 = 500 Kg
a = acceleration down
m a = 4900 -3800
so
500 a = 1100
a = 2.2 m/s^2 DOWN
Thank You!
To find the acceleration of the elevator, we can use Newton's second law of motion, which states that the net force acting on an object is equal to mass times acceleration (F = m * a).
In this case, the tension in the cable (4900N) is the net force acting on the elevator, and since we know the mass of the elevator affects the acceleration, we need to solve for the mass as well.
To do this, we can set up the following equation:
Tension in the cable = mass * acceleration
Tension = 4900N
Mass = ?
Acceleration = ?
Substituting these values into the equation, we have:
4900N = mass * acceleration
We are given that the tension in the cable is 3800N, so we can rearrange the equation to solve for the acceleration:
3800N = mass * acceleration
Now, we have two variables in this equation, so we need another equation to solve for either the mass or the acceleration. Unfortunately, we don't have any additional information given in the problem.
Without knowing the additional information, it is not possible to determine the exact acceleration of the elevator. To find the acceleration, we would need either the mass of the elevator or another force acting on it.