an elevator weighing 500kg f moving upward and tension in the supporting cable is 50000N.find upward acceleration.
tension=mg+ma
solve for a
As we know that
T=(work done by gravitational force + Work done by upward pulling force)
T=mg+ma
ma=T-mg
a=(T-mg)/m
a={(50000 N) - (500 Kg x 9.8 m/sec2)}/500 kg
a=90.2 m/sec2
Sorry lil correct
T=(work done by gravitational force + Net Force ma (not upward pulling force)
To find the upward 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 the mass of the object multiplied by its acceleration.
First, let's consider the forces acting on the elevator:
1. Force due to the tension in the supporting cable, which acts upward.
2. Force due to gravity, which acts downward.
Since the elevator is moving upward, the tension in the supporting cable is greater than the force due to gravity. The net force acting on the elevator is given by:
Net Force = Force due to tension - Force due to gravity
The force due to gravity can be calculated using the formula:
Force due to gravity = mass of the elevator x acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2. So, the force due to gravity is:
Force due to gravity = 500 kg x 9.8 m/s^2
Next, we can plug in the given values into the net force equation:
Net Force = 50000 N - (500 kg x 9.8 m/s^2)
Now, we can solve for the upward acceleration of the elevator by rearranging the equation:
Net Force = mass of the elevator x acceleration
Acceleration = Net Force / mass of the elevator
Acceleration = (50000 N - (500 kg x 9.8 m/s^2)) / 500 kg
By substituting the values, we can calculate the upward acceleration of the elevator.