Question
Lee pushed horizontally with an \( 80-\mathrm{N} \) force on a \( 20-\mathrm{kg} \) mass 10 meters across a floor. Calculate the nount of work Lee did.
Ask by Bradley Dickson. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Lee did 800 joules of work.
Solution
To calculate the amount of work Lee did, we can use the formula for work done by a force:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Given:
- Force applied by Lee: \( 80 \, \text{N} \)
- Distance covered: \( 10 \, \text{m} \)
Substitute the values into the formula to find the work done by Lee.
Calculate the value by following steps:
- step0: Calculate:
\(80\times 10\)
- step1: Multiply the numbers:
\(800\)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To calculate the work done, we use the formula: \[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \] In this case, the force Lee applies is \( 80 \, \mathrm{N} \), the distance is \( 10 \, \mathrm{m} \), and since the force is applied horizontally and the movement is also horizontal, \( \theta = 0^\circ \). Therefore, \( \cos(0^\circ) = 1\). Substituting in the values: \[ \text{Work} = 80 \, \mathrm{N} \times 10 \, \mathrm{m} \times 1 = 800 \, \mathrm{J} \] So, Lee did \( 800 \, \mathrm{J} \) of work.
