Pregunta
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John effort. What do you think happens? Think about their weights. Wi this lever be MA \( >1, \mathrm{MA}=1 \) or \( \mathrm{MA}<1 \) ? John stays on the see-saw and remains the load. Sipho gets off and peter gets on. Now the effort is heavier than the load. Meaning, more force has to be applied to move the load. Will this lever be MA > \( 1, \mathrm{MA}=1 \) or \( \mathrm{MA}<1 \) ? Finally, Peter gets off the see-saw while John is still on and he remains the load. Sureshin gets on and becomes the effort. The weight of the effort is smaller than the load, but Sureshin gives himself a little push and John is lifted. Will this lever be MA >1, \( M A=1 \) or MA < 1 ?

Ask by Wade Matthews. in South Africa
Feb 03,2025

Solución de tutoría real

Respuesta verificada por el tutor

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In the first scenario, since Peter is heavier than John, the lever requires more effort to lift the load, so **MA < 1**. In the second scenario, even though Sureshin is lighter, his push amplifies the force, making **MA > 1**.

Solución

Let's analyze each scenario involving the see-saw (a type of lever) to determine the **Mechanical Advantage (MA)**. Mechanical Advantage is defined as: \[ \text{MA} = \frac{\text{Output Force (Load)}}{\text{Input Force (Effort)}} \] - **MA > 1**: The lever amplifies the input force, making it easier to lift a heavier load with less effort. - **MA = 1**: The lever does not change the force; effort and load are balanced. - **MA < 1**: The lever requires more effort to lift the load, as the input force is greater than the output force. ### **Scenario 1:** - **Setup:** John remains on the see-saw as the **load**. Sipho gets off, and Peter gets on as the **effort**. - **Observation:** The **effort (Peter)** is **heavier** than the **load (John)**. - **Analysis:** Since the effort is greater than the load, the see-saw requires more input force to lift the load. - **Conclusion:** **MA < 1** ### **Scenario 2:** - **Setup:** John remains on the see-saw as the **load**. Peter gets off, and Sureshin gets on as the **effort**. - **Observation:** The **effort (Sureshin)** is **lighter** than the **load (John)**, but Sureshin gives himself a little push to lift John. - **Analysis:** Even though the effort is lighter, Sureshin manages to lift the load by applying an additional push. This indicates that the lever is amplifying the input force. - **Conclusion:** **MA > 1** ### **Summary of Mechanical Advantage (MA) in Each Scenario:** 1. **First Scenario (Peter as Effort):** - **MA < 1** 2. **Second Scenario (Sureshin as Effort):** - **MA > 1** Understanding the Mechanical Advantage helps in designing systems where force amplification or balancing is required. In the first scenario, more effort is needed relative to the load, while in the second scenario, the lever helps in amplifying the input force to lift a heavier load with less effort.

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Beyond the Answer

In the delightful world of levers, the mechanical advantage (MA) tells us how efforts and loads interact! When Sipho gets off the see-saw and Peter gets on, the effort is indeed heavier than the load, leading to an MA of less than 1 (MA < 1). This indicates that more force is needed to lift John, as Peter provides a larger effort compared to John's weight. Now, when Sureshin, the lighter effort, gets on while John remains, and Sureshin gives himself a little push, we witness the magic of leverage! Even though the weight of the effort is smaller than the load, thanks to Sureshin's push, the actual movement occurs, resulting in an MA greater than 1 (MA > 1) during that action—an impressive feat of overcoming gravity with a bit of ingenuity!

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