Sure, let's solve the given problem step by step:
### Given:
- Load (L) = 80 N
- Effort (E) = 100 N
### i. Mechanical Advantage (MA)
The Mechanical Advantage (MA) is a measure of the force amplification achieved by using a tool or mechanical system. It is given by the formula:
[tex]\[ \text{MA} = \frac{\text{Load}}{\text{Effort}} \][/tex]
Substituting the given values:
[tex]\[ \text{MA} = \frac{80 \text{ N}}{100 \text{ N}} = 0.8 \][/tex]
So, the MA of the pulley is 0.8.
### ii. Efficiency
Efficiency of a mechanical system is a measure of how well it converts the input effort into useful work. It is usually expressed as a percentage and can be calculated using the formula:
[tex]\[ \text{Efficiency} = \text{MA} \times 100 \][/tex]
Substituting the MA we calculated:
[tex]\[ \text{Efficiency} = 0.8 \times 100 = 80\% \][/tex]
So, the efficiency of the pulley system is 80%.
### iii. Percentage of Energy Wasted
The percentage of energy wasted while lifting the load is the complement of the efficiency. It can be calculated by subtracting the efficiency from 100:
[tex]\[ \text{Energy Wasted Percentage} = 100\% - \text{Efficiency} \][/tex]
Substituting the efficiency we calculated:
[tex]\[ \text{Energy Wasted Percentage} = 100\% - 80\% = 20\% \][/tex]
So, the percentage of energy wasted while lifting the load is 20%.
### Summary of Answers:
i. Mechanical Advantage (MA) = 0.8
ii. Efficiency = 80%
iii. Percentage of Energy Wasted = 20%
