Let's solve each problem step by step using the formulas provided in the worksheet.
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Problem 1: Joseph sweeping leaves
Given:
- Force (F) = 2.0 N
- Distance (d) = 3 meters
- Time (t) = 12 seconds
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####
Part A: Calculate mechanical work performed on the leaves
Use the formula for
linear work:
>
W = F · d
Substitute the values:
> W = 2.0 N × 3 m =
6.0 Joules
✔ Answer: 6.0 J
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####
Part B: Calculate the power used to push the leaves
Use the formula for
power:
>
P = W / t
We just found W = 6.0 J, and t = 12 s.
> P = 6.0 J / 12 s =
0.5 Watts
✔ Answer: 0.5 W
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Problem 2: Tractor pulling a hay wagon
Given:
- Force (F) = 500 N
- Distance (d) = 2000 meters
- Time (t) = 5 minutes →
must convert to seconds!
> 5 minutes × 60 seconds/minute =
300 seconds
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####
Part A: Calculate the work performed on the hay wagon
Use the formula:
>
W = F · d
> W = 500 N × 2000 m =
1,000,000 Joules
(You can also write this as 1 × 10⁶ J or 1 MJ, but since the question asks for Joules, we’ll keep it as 1,000,000 J)
✔ Answer: 1,000,000 J
---
####
Part B: Calculate the power used to pull the hay wagon
Use the formula:
>
P = W / t
> P = 1,000,000 J / 300 s ≈
3333.33 Watts
(Rounded to two decimal places, or you can leave it as a fraction: 1000000/300 = 10000/3 ≈ 3333.33)
✔ Answer: 3333.33 W
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##
✔ Final Answers:
Problem 1:
- Work =
6.0 J
- Power =
0.5 W
Problem 2:
- Work =
1,000,000 J
- Power =
3333.33 W
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💡
Key Concepts Reminder:
-
Work is force times distance (when force is parallel to displacement).
-
Power is how fast work is done — work divided by time.
- Always check
units — especially converting minutes to seconds for power calculations!
Let me know if you’d like to see these explained with diagrams or real-world analogies!
Parent Tip: Review the logic above to help your child master the concept of work power worksheet.