Let’s solve each problem one by one using the formula:
Work = Force × Distance
or
W = F × d
We’ll use the triangle to help us remember:
- If you need
Work (W), multiply Force and Distance.
- If you need
Force (F), divide Work by Distance → F = W ÷ d
- If you need
Distance (d), divide Work by Force → d = W ÷ F
Units:
- Work is in
joules (J)
- Force is in
newtons (N)
- Distance is in
meters (m)
---
Problem 1:
A book weighing 1.0 newton is lifted 2 meters. How much work was done?
→ We have Force = 1.0 N, Distance = 2 m
→ Work = 1.0 × 2 =
2 joules
✔ Answer:
2 J
---
Problem 2:
A force of 15 newtons is used to push a box along the floor a distance of 3 meters. How much work was done?
→ Force = 15 N, Distance = 3 m
→ Work = 15 × 3 =
45 joules
✔ Answer:
45 J
---
Problem 3:
It took 50 joules to push a chair 5 meters across the floor. With what force was the chair pushed?
→ Work = 50 J, Distance = 5 m
→ Force = Work ÷ Distance = 50 ÷ 5 =
10 newtons
✔ Answer:
10 N
---
Problem 4:
A force of 100 newtons was necessary to lift a rock. A total of 150 joules of work was done. How far was the rock lifted?
→ Force = 100 N, Work = 150 J
→ Distance = Work ÷ Force = 150 ÷ 100 =
1.5 meters
✔ Answer:
1.5 m
---
Problem 5:
It took 500 newtons of force to push a car 4 meters. How much work was done?
→ Force = 500 N, Distance = 4 m
→ Work = 500 × 4 =
2000 joules
✔ Answer:
2000 J
---
Problem 6:
A young man exerted a force of 9,000 newtons on a stalled car but was unable to move it. How much work was done?
→ He applied force, but the car did NOT move → Distance = 0 meters
→ Work = Force × Distance = 9000 × 0 =
0 joules
Remember: No movement = no work done in science!
✔ Answer:
0 J
---
Final Answer:
1. 2 J
2. 45 J
3. 10 N
4. 1.5 m
5. 2000 J
6. 0 J
Parent Tip: Review the logic above to help your child master the concept of work force distance worksheet.
