An elevator lifts passengers 30m in 24sec. The power is 15,000W. What is the total weight of the elevator and passengers?
16 years ago
16 years ago
How did you find that answer?
14 years ago
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14 years ago
anything that has mass and takes up space
14 years ago
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11 months ago
To find the total weight of the elevator and passengers, you need to use the formula:
Power (P) = Work (W) / Time (t)
First, let's calculate the work done by the elevator.
Work is given by the formula:
Work (W) = Force (F) * Distance (d)
Assuming a constant force is applied throughout, we can rewrite the formula as:
Work (W) = Weight (m * g) * Distance (d)
In this case, the distance (d) is given as 30 meters.
Now, we can substitute the values into the formula:
Work (W) = Weight (m * g) * Distance (d)
15000W = Weight * 30m
Next, we need to find the weight (m * g). The formula for weight is:
Weight (m * g) = Mass (m) * Acceleration due to gravity (g)
The acceleration due to gravity is approximately 9.8 m/s^2.
Now, let's rearrange the formula to solve for weight:
Weight (m * g) = 15000W / 30m
Weight (m * g) = 500W / m
Finally, we can substitute the given power value into the equation:
Weight (m * g) = 500 * 30
Weight (m * g) = 15000 Newtons
Therefore, the total weight of the elevator and passengers is approximately 15000 Newtons.