A load of 300N is to be lifted by a machine with a velocity ratio of 2 and an efficiency of 60%. What effort will be applied to lift the load?

Assessment: JAMB UTME - Physics - 2024 Subject: Physics

Question 1 Report

A load of 300N is to be lifted by a machine with a velocity ratio of 2 and an efficiency of 60%. What effort will be applied to lift the load?
Answer Details

To determine the effort needed to lift a load using a machine, we first need to understand some key concepts: **Load**, **Effort**, **Velocity Ratio** (VR), and **Efficiency**.


1. **Load** is the force or weight that needs to be lifted by the machine. In this case, the load is 300N.

2. **Velocity Ratio (VR)** is the ratio of the distance moved by the effort to the distance moved by the load. Given here as 2.


3. **Efficiency** of a machine is expressed as a percentage and is the ratio of the useful work output to the input work done by the effort. Here, the efficiency is 60% or 0.60 as a decimal.


The formula to calculate the **Effort** is derived from the relationship between these factors:


\[ \text{Efficiency} = \frac{\text{Mechanical Advantage (MA)}}{\text{Velocity Ratio (VR)}} \]


Where:


\[ \text{Mechanical Advantage (MA)} = \frac{\text{Load}}{\text{Effort}} \]


From the above, we have:


\[ \text{MA} = \text{VR} \times \text{Efficiency} \]


Replacing with the given values:


\[ MA = 2 \times 0.60 = 1.2 \]


Now, calculate the **Effort** using the relation:


\[ \text{Effort} = \frac{\text{Load}}{\text{MA}} \]


\[ \text{Effort} = \frac{300N}{1.2} = 250N \]


Therefore, the **Effort** needed to lift the load is 250N.

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