an elevator motor provides 45 W of power while lifting a 2000 kg elevator 35 m. if the elevator contains six passengers of the same mass and it takes 20.0 to accomplish this task, determine pass of each passenger.
To determine the force exerted on the elevator, we need to calculate the work done. And to calculate the work done, we need to use the formula:
Work = Force * Distance
In this case, the work done is equal to the power of the elevator motor multiplied by the time it takes to accomplish the task:
Work = Power * Time
To calculate the force, we can rearrange the work formula:
Force = Work / Distance
Now, let's plug in the given values:
Power = 45 W
Time = 20.0 s
Distance = 35 m
Using the formula Work = Power * Time, we can calculate the work done:
Work = 45 W * 20.0 s = 900 J
Now, we can use the formula Force = Work / Distance to calculate the force exerted on the elevator:
Force = 900 J / 35 m ≈ 25.714 N
Since there are six passengers with the same mass, the total mass of the passengers is 6 * 2000 kg = 12000 kg.
The force exerted on the elevator can be distributed evenly among the total mass of the passengers:
Force per passenger = Force / Total mass of passengers
= 25.714 N / 12000 kg
Calculating this:
Force per passenger ≈ 0.002143 N
Therefore, each passenger exerts a force of approximately 0.002143 N.