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The diagram above illustrates a block ans tackl... - WAEC Physics 2015 Question

The diagram above illustrates a block ans tackle pulley system in which an effort E supports a load of 100.0N. If the efficiency of the machine is 75%, calculate the value of E

A
22.2N
B
38.0N
C
67.0N
D
75.0N
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Correct Option: A

Given; VR = 6, e = 75%, MA = ?

e = (\frac{\text{MA}}{\text{VR}} \times \frac{100}{1})

MA =(\frac{75 \times 6}{10})

MA = (\frac{9}{2})

MA = (\frac{L}{E} = \frac{100}{E})

(\frac{9}{2} = \frac{100}{E})

9E = 100

E = (\frac{200}{9})

= 22.2N

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