A machine required a 1000 J of work to raised a load of height of 1.5 m. If the efficiency of the machine 60% , find the magnitude of the load
To find the magnitude of the load, we can start by calculating the work done by the machine.
The work done by the machine is equal to the input work, which is the amount of work required to raise the load. We can calculate it using the formula:
Work = Force × Distance
In this case, the distance is given as 1.5 m. We need to find the force, which represents the load.
Since the efficiency of the machine is given as 60%, it means that only 60% of the input work is utilized to do the actual work. Therefore, the actual work done by the machine can be calculated as:
Actual Work = Efficiency × Input Work
In this case, the input work is 1000 J. Substituting the values, we have:
Actual Work = 0.60 × 1000 J = 600 J
Now, we can equate the actual work done by the machine (600 J) to the work done against the load in order to find the force/load.
Work against the load = Force × Distance
Substituting the values, we have:
600 J = Force × 1.5 m
Dividing both sides of the equation by 1.5 m, we get:
Force = 600 J / 1.5 m = 400 N
Therefore, the magnitude of the load is 400 Newtons (N).