How high can a 100-N load be lifted with 50 N of force?
Understand the Problem
The question is asking how high a 100-N load can be lifted using a force of 50 N. This involves understanding the relationship between force and weight in lifting scenarios, likely using principles from physics.
Answer
The load can be lifted twice as high.
Answer for screen readers
The load can be lifted twice as high.
Steps to Solve
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Identify the weights and forces involved
The weight of the load is given as $100 , \text{N}$, and the force applied is $50 , \text{N}$.
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Use the concept of mechanical advantage
Mechanical advantage is calculated by the formula:
$$ \text{Mechanical Advantage} = \frac{\text{Load}}{\text{Effort}} $$
Here, the load is the weight of the object and effort is the force applied to lift it.
Substituting the values:
$$ \text{Mechanical Advantage} = \frac{100 , \text{N}}{50 , \text{N}} = 2 $$
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Determine the height lifted
The mechanical advantage indicates how many times the load can be lifted compared to the force applied. In this case, a mechanical advantage of $2$ means the load can be lifted $2$ times higher when applying the effort.
Therefore, lifting a $100 , \text{N}$ load with $50 , \text{N}$ of force allows us to lift it $twice$ as high.
The load can be lifted twice as high.
More Information
This problem illustrates the concept of mechanical advantage in lifting systems, explaining how less force can lift a heavier load by using mechanisms like pulleys or levers.
Tips
- Misunderstanding the relationship between force and weight can lead to incorrect conclusions about how high the load can be lifted.
- Failing to correctly apply the mechanical advantage formula.
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