An elevator lifts a person weighing 625 newtons a distance of 7 meters. If the elevator uses 875 watts of power to lift the person, how long does it take?
To determine the time it takes for the elevator to lift the person, we can use the formula for power:
Power = Work / Time
We are given the power (875 watts) and the weight of the person (625 newtons). We need to find the time.
The work done by the elevator can be calculated using the formula:
Work = Force * Distance
Substituting the given values, we have:
Work = 625 newtons * 7 meters
Work = 4375 joules
Now, we can rearrange the power formula to solve for time:
Time = Work / Power
Substituting the values we calculated earlier, we have:
Time = 4375 joules / 875 watts
Time = 5 seconds
Therefore, it will take 5 seconds for the elevator to lift the person.
To calculate the time it takes for the elevator to lift the person, we need to use the power formula:
Power (P) = Work (W) / Time (T)
In this case, the power used by the elevator is given as 875 watts. The work done by the elevator is the force applied multiplied by the distance traveled. The force applied is equal to the weight of the person, which is given as 625 newtons. The distance traveled is 7 meters.
Therefore, we can rewrite the power formula as:
P = (Force × Distance) / Time
Rearranging the formula to solve for time, we have:
Time (T) = (Force × Distance) / Power
Now, we can substitute the given values into this equation:
T = (625 N × 7 m) / 875 W
Calculating this equation gives us the time it takes for the elevator to lift the person.