How to Calculate Net Force and Acceleration of a Service Elevator
What is the upward force applied to the service elevator?
A) 1.59 x 10⁴ N
B) 2.59 x 10⁴ N
C) 3.59 x 10⁴ N
D) 4.59 x 10⁴ N
What is the net force on the service elevator and its acceleration?
A) Net force = 1.59 x 10⁴ N, Acceleration = 0 m/s²
B) Net force = 1.59 x 10⁴ N, Acceleration = 9.8 m/s²
C) Net force = 0 N, Acceleration = 1.59 x 10⁴ m/s²
D) Net force = 2.59 x 10⁴ N, Acceleration = 9.8 m/s²
Answer:
The upward force applied to the service elevator is 1.59 x 10⁴ N.
The net force on the service elevator is 4520 N and the acceleration is 3.9 m/s².
To solve the physics problem related to the service elevator, we need to calculate the net force and acceleration. First, we identify that the upward force applied to the elevator is 1.59 x 10⁴ N. Next, we determine the net force by considering the difference between the upward force and the weight of the elevator.
The net force is calculated as follows: Net force = Upward force - Weight of elevator. The weight of the elevator is determined by multiplying the mass of the elevator (1160 kg) by the acceleration due to gravity (9.8 m/s²).
After finding the net force, we can then calculate the acceleration using Newton's second law of motion, which states that F = ma. By rearranging the formula, we get a = F/m. Therefore, the acceleration can be found by dividing the net force by the mass of the elevator.
In this case, the net force on the service elevator is 4520 N and the acceleration is 3.9 m/s² when an upward force of 1.59 x 10⁴ N is applied. By following these steps, we can accurately determine the net force and acceleration of the service elevator in a physics problem.