A student applied a force of 300 N to push a box 20 m down the sidewalk. How much work is done?
Understand the Problem
The question asks for the calculation of work done when a force is applied to move an object a certain distance. Work can be calculated using the formula: Work = Force × Distance.
Answer
The work done is $6000 \, \text{J}$.
Answer for screen readers
The work done is $6000 , \text{J}$.
Steps to Solve
- Identify the known values
We are given:
- Force ($F$) = 300 N
- Distance ($d$) = 20 m
- Use the work formula
The formula for work done ($W$) is: $$ W = F \times d $$
- Plug in the known values
Substituting the values into the formula: $$ W = 300 , \text{N} \times 20 , \text{m} $$
- Calculate the work
Perform the multiplication: $$ W = 6000 , \text{J} $$
The work done is $6000 , \text{J}$.
More Information
Work measures the energy transferred by a force acting over a distance. A force of 300 N applied for 20 m results in a substantial amount of work.
Tips
- Forgetting to ensure the units are consistent (e.g., mixing meters with kilometers).
- Not using the correct direction of the force when calculating work (if the force is not in the direction of motion, it could affect the calculation).
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