How much work did the elevator do?
Understand the Problem
The question is asking to calculate the amount of work done by an elevator that lifts a person weighing 550 N a distance of 5 meters. To solve this, we will use the work formula: Work = Force × Distance.
Answer
The work done by the elevator is $2750 \, \text{J}$.
Answer for screen readers
The amount of work done by the elevator is $2750 , \text{J}$.
Steps to Solve
- Identify the formula for work done
We will use the formula for work, which is given by:
$$ \text{Work} = \text{Force} \times \text{Distance} $$
- Substitute the known values
In this problem, the force (weight of the person) is 550 N and the distance lifted is 5 meters. So we substitute these values into the formula:
$$ \text{Work} = 550 , \text{N} \times 5 , \text{m} $$
- Perform the multiplication
Now we calculate the work done by the elevator:
$$ \text{Work} = 550 \times 5 = 2750 , \text{J} $$
The amount of work done by the elevator is $2750 , \text{J}$.
More Information
Work is a measure of energy transfer when an object is moved over a distance by an external force. In this case, the elevator does 2750 joules of work in lifting the person.
Tips
- Ignoring the weight: Sometimes, students might forget that the force needed is the weight of the object being lifted. Always ensure to use the correct force.
- Misapplying the formula: Ensure that the correct formula ($\text{Work} = \text{Force} \times \text{Distance}$) is used and that units are consistent.
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