A tension of 6000 newtons is experienced by the elevator cable of an elevator moving upward with an acceleration of 2m/s^2. what is the mass of the elevator
Acceleration due to gravity: g=9.81 m/s^2
Upwards acceleration : a=2 m/s^2
Tension in cable T= 6000 N
Let m=mass of elevator
T=mg+ma = m(g+a)
solve for m
508kg
Well, let's first determine the force acting on the elevator. We know that the tension in the cable is 6000 newtons and the elevator is accelerating upwards with an acceleration of 2 m/s^2. Using Newton's second law (F = m*a), we can rearrange the equation to solve for mass (m).
Now, some quick math:
6000 newtons = m * 2 m/s^2
Dividing both sides by 2 m/s^2 gives us:
m = 6000 newtons / 2 m/s^2
m = 3000 kilograms
So, the mass of the elevator is 3000 kilograms. It must be carrying quite a few clowns!
To determine the mass of the elevator, we can use Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration (F = m * a).
In this case, the force acting on the elevator cable is the tension of 6000 newtons. The acceleration of the elevator is given as 2 m/s^2. We can rearrange the equation to solve for mass (m):
m = F / a
Substituting the given values:
m = 6000 N / 2 m/s^2
m = 3000 kg
Therefore, the mass of the elevator is 3000 kg.