A 1200·kg elevator is attached to a cable whose tension is 11900·N. What is the magnitude of the elevator's acceleration?
____ m/s
Remember F=ma?
You have F and m.
9.9
To find the magnitude of the elevator's acceleration, we can use Newton's second law which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
In this case, the force acting on the elevator is the tension in the cable, which is 11900 N. The mass of the elevator is 1200 kg.
So, we can rearrange Newton's second law to solve for acceleration:
a = F/m
Plugging in the given values, we have:
a = 11900 N / 1200 kg
Divide 11900 by 1200:
a ≈ 9.92 m/s²
Therefore, the magnitude of the elevator's acceleration is approximately 9.92 m/s².