=A+MACHINE+OF+EFFICIENCY+60%25+IS+ usingTO+RAISE+A+LOAD+OF+150kg+THROUGH+A+VERTICAL+DISTANCE+OF+2.5m.CALCULATE+THE+WORK+DONE+%5BIN+JOULES%5D.+I+tried+E%3DWORK+Output%2FWORK+INPUT+times#
To calculate the work done, you can use the formula:
Work = Force × Distance
First, we need to find the force exerted by the machine. The force exerted can be determined using the equation:
Force = Mass × Acceleration due to gravity
Given that the mass of the load is 150 kg, and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the force:
Force = 150 kg × 9.8 m/s²
Next, we need to find the distance through which the load is raised. In this case, the distance is given as 2.5 m.
Now we can substitute the values into the original equation to calculate the work done:
Work = Force × Distance
Work = (150 kg × 9.8 m/s²) × 2.5 m
After multiplying these values, you should get the result.
Note: The efficiency mentioned (60%) is not required to calculate the work done. Efficiency relates to the ratio of output work to input work.
To calculate the work done by the machine, we can use the formula:
Work = Work input * Efficiency
First, let's find the Work input. We know that the machine is raising a load of 150 kg through a vertical distance of 2.5 m. The work done is equal to the force applied multiplied by the distance moved in the direction of that force.
Work input = Force * Distance
The force can be calculated using the formula:
Force = Mass * Acceleration due to gravity
Acceleration due to gravity is approximately 9.8 m/s^2.
Force = 150 kg * 9.8 m/s^2
Force = 1470 N
Now we can calculate the Work input:
Work input = Force * Distance
Work input = 1470 N * 2.5 m
Work input = 3675 J
Next, we can calculate the Work output using the given efficiency of 60% (0.6).
Work output = Efficiency * Work input
Work output = 0.6 * 3675 J
Work output = 2205 J
Therefore, the work done by the machine is 2205 Joules.