A crane lifts a 1800-kg load of scrap metals to a distance of 15 m in 20 s. how much power is used in delivering the load?
Power * time = change in energy
20 P = m g h = 1800 * 9.81 * 15
thanks
How to solve this
To find the power used in delivering the load, we can use the formula:
Power = work done / time
First, we need to determine the work done. The work done is given by the formula:
Work = force x distance
In this case, the force is the weight of the load, which can be calculated using the formula:
Weight = mass x gravity
where the mass is given as 1800 kg and gravity is approximately 9.8 m/s².
Weight = 1800 kg x 9.8 m/s² = 17640 N
Now, we can calculate the work done by multiplying the force (weight) by the distance lifted:
Work = 17640 N x 15 m = 264600 J (Joules)
Next, we can substitute the work done into the power formula:
Power = 264600 J / 20 s
Finally, we can calculate the power used:
Power = 13230 Watts
Therefore, the power used in delivering the load is 13230 Watts.