The efficiency of a machine is 75%.if this machine raises a load of 150kg through a vertical height of 20cm, calculate the work done by the labourer g-10m s
Pls help
(150 kg * 10 m/s^2 * .20 m) / .75 ... Joules
To calculate the work done by the laborer, we need to first find the input work done by the machine and then account for its efficiency.
The input work done by the machine can be calculated using the following formula:
Input work = Output work / Efficiency
Since the output work done by the machine is equal to the work done by the laborer, we can rewrite the formula as:
Input work = Work done by laborer / Efficiency
Now, let's calculate the work done by the laborer.
The work done by the laborer can be calculated using the formula:
Work = Force × Distance
In this case, the force is equal to the weight of the load, which can be calculated using the formula:
Weight = Mass × Gravity
Mass = 150 kg (given)
Gravity = 10 m/s^2 (given)
Weight = 150 kg × 10 m/s^2 = 1500 kg·m/s^2 or 1500 N
Now, let's calculate the distance:
Distance = 20 cm = 0.2 m
Work done by the laborer = Force × Distance = 1500 N × 0.2 m = 300 N·m
Now, we can substitute the values into the input work formula to find the total work done by the machine:
Input work = Work done by laborer / Efficiency = 300 N·m / 0.75 = 400 N·m
Therefore, the work done by the laborer with a g-10m s machine, raising a load of 150 kg through a vertical height of 20 cm, is 400 N·m.