The efficiency of the block and tackle system can be calculated using the following steps:
1. Mechanical Advantage (MA):
The mechanical advantage is the ratio of load (W) to effort (E):
$$MA = \frac{W}{E}$$
2. Efficiency (η):
Efficiency is the ratio of mechanical advantage to the number of pulleys (n), multiplied by 100:
$$\eta = \frac{MA}{n} \times 100\%$$
Given that the load (W) is 80 kgf and the effort (E) is 18 kgf, we can calculate the mechanical advantage:
$$MA = \frac{80}{18} = 4.44$$
Since there are 5 pulleys in the system, the efficiency is:
$$\eta = \frac{4.44}{5} \times 100\% = 88.89\%$$
Therefore, the efficiency of the block and tackle system is 88.89%
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