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JAMB Physics 2014 Paper

Question : 12

Total: 41

Solution:

Concept:

Efficiency measures how well a machine converts work input into useful work output, using Mechanical Advantage and Velocity Ratio.

Explanation:

Use the efficiency formula:

\text{Efficiency} = \frac{\text{MA}}{\text{VR}} \times 100\%

Mechanical Advantage is

\text{MA} = \frac{\text{Load}}{\text{Effort}} = \frac{1000}{E}

Substitute the given values:

75 = \frac{\frac{1000}{E}}{4} \times 100

Simplify:

75 = \frac{1000 \times 100}{4E} = \frac{25000}{E}

Solve for

E

E = \frac{25000}{75} = 333.33\, \text{N}

Answer:

333.33\, \text{N}

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