Question

an elevator of mass 500 kg is caused to accelerate upward at 4.0 m/s2 by a force in the cable. what is the force exerted by the cable?

Answer 1

Answer: 6900 N

Step-by-step explanation:

First, figure out what forces are acting on the elevator. We can assume that gravity is acting on it, and the force exerted by the cable. So, let's write it out using F=ma:

F (total) = ma

ma = F(cable) - F (gravity)

- Gravity force is going downward, so it subtracts from the others.

500 * 4 = F(cable) - 500 * 9.8

F(cable) = 6900

Answer 2

The force exerted by the cable on the elevator is 2000 N.

Step-by-step explanation:

To calculate the force exerted by the cable on the elevator, we can use Newton's second law, which states that force is equal to mass times acceleration.

In this case, the mass of the elevator is 500 kg and the acceleration is 4.0 m/s².

So, the force exerted by the cable on the elevator is:

Force = mass × acceleration

Force = 500 kg × 4.0 m/s²

Force = 2000 N

Therefore, the force exerted by the cable on the elevator is 2000 N.