John uses the machine in 1kg to raise a 60N load from the ground to a distance of 0.4m.The effort used by john to do work is 20N. Calculate i) the mechanical advantage. ii)efficiency of the machine.
what does " uses the machine in 1kg to raise a 60N" mean?
I need your help
To calculate the mechanical advantage and efficiency of a machine, we need to understand the formulas and concepts involved.
i) The mechanical advantage (MA) is calculated using the formula:
MA = Load/Effort
Where:
Load is the weight or force being lifted or moved by the machine (60N in this case).
Effort is the force applied by the person operating the machine (20N in this case).
ii) Efficiency (η) is calculated using the formula:
Efficiency = (Work output / Work input) x 100
Where:
Work output is the useful work done by the machine (Load x Distance in this case, since force is perpendicular to displacement, so work is force multiplied by distance).
Work input is the work done by the person operating the machine (Effort x Distance in this case).
Now, let's calculate the values:
i) Mechanical Advantage (MA):
MA = Load / Effort
MA = 60N / 20N
MA = 3
ii) Efficiency (η):
Work output = Load x Distance
Work output = 60N x 0.4m
Work output = 24 Joules
Work input = Effort x Distance
Work input = 20N x 0.4m
Work input = 8 Joules
Efficiency = (Work output / Work input) x 100
Efficiency = (24 Joules / 8 Joules) x 100
Efficiency = 300%
Therefore, the mechanical advantage of the machine is 3 and the efficiency is 300%.