Question
A student lifts a backpack weighing 60 N to a shelf 2 meters high. Then the student lifts another backpack weighing 40 N to a shelf 3 meters high. Which action required more work?
*
1 point
Lifting the 60 N backpack to 2 meters
Lifting the 40 N backpack to 3 meters
Both actions required the same amount of work
Work cannot be calculated without knowing time
*
1 point
Lifting the 60 N backpack to 2 meters
Lifting the 40 N backpack to 3 meters
Both actions required the same amount of work
Work cannot be calculated without knowing time
Answers
GPT-4o mini
To determine which action required more work, we can use the formula for work done against gravity, which is:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
1. For the 60 N backpack lifted to a height of 2 meters:
\[
\text{Work}_{60} = 60 \, \text{N} \times 2 \, \text{m} = 120 \, \text{J}
\]
2. For the 40 N backpack lifted to a height of 3 meters:
\[
\text{Work}_{40} = 40 \, \text{N} \times 3 \, \text{m} = 120 \, \text{J}
\]
Both actions required the same amount of work, which is 120 Joules.
Thus, the correct answer is:
**Both actions required the same amount of work.**
\[ \text{Work} = \text{Force} \times \text{Distance} \]
1. For the 60 N backpack lifted to a height of 2 meters:
\[
\text{Work}_{60} = 60 \, \text{N} \times 2 \, \text{m} = 120 \, \text{J}
\]
2. For the 40 N backpack lifted to a height of 3 meters:
\[
\text{Work}_{40} = 40 \, \text{N} \times 3 \, \text{m} = 120 \, \text{J}
\]
Both actions required the same amount of work, which is 120 Joules.
Thus, the correct answer is:
**Both actions required the same amount of work.**