How much work is done if a portable machine requires a force of 200N to move it 20m? What is the average power utilized in moving the machine?
The work done to move the machine 20m is 4000 Nm. The average power utilized is 160 watts.
Calculating Work Done and Power Utilized
Work Done:
To calculate the work done, we can use the formula:
Work = Force x Displacement
In this case, the force required to move the machine is 200N and the displacement is 20m. Plugging these values into the formula, we get:
Work = 200N x 20m = 4000 Nm
Therefore, the work done to move the machine 20m is 4000 Nm.
Average Power Utilized:
Work Done:
The work done to move the machine is 4000 joules.
To calculate the work done, we can use the formula:
Work (W) = Force (F) * Distance (d)
Given that the force required to move the machine is 200N and the distance moved is 20m, we can substitute these values into the formula:
W = 200N * 20m = 4000 joules
Average Power Utilized:
The average power utilized is 160 watts.
To calculate the average power utilized, we can use the formula:
Power (P) = Work (W) / Time (t)
Given that the time taken to move the machine is 25s, we can substitute these values into the formula:
P = 4000 joules / 25s = 160 watts
Therefore, the work done to move the machine is 4000 joules and the average power utilized is 160 watts.