A load of400N is raised 2M by a machine in which an effort of 200N moves 5M. Culculate the efficient of the machine.
efficiency = (work output) / (work input) = (400 N * 2 m) / (200 N * 5 m)
How to find efficiency of a machine
To calculate the efficiency of a machine, we need to use the formula:
Efficiency = (Output Work / Input Work) * 100%
In this case, the output work refers to the work done to raise the load, which is calculated by multiplying the load (400N) by the distance it is lifted (2M):
Output Work = Load * Distance = 400N * 2M = 800 joules (J)
The input work refers to the work done by the effort applied by the machine, which is calculated by multiplying the effort (200N) by the distance it moves (5M):
Input Work = Effort * Distance = 200N * 5M = 1000 joules (J)
Now, we can use the formula to calculate the efficiency:
Efficiency = (Output Work / Input Work) * 100%
= (800J / 1000J) * 100%
= 0.8 * 100%
= 80%
Therefore, the efficiency of the machine is 80%.