Physics worksheet on calculating work using the formula W = F x d, with problems involving forces and distances.

Let's solve each problem step by step using the formula for work:

> W = F × d
> Where:
> - W = Work (in joules, J)
> - F = Force (in newtons, N)
> - d = Distance (in meters, m)

We’ll use the triangle method shown in the image:
- If you know F and D, multiply them to get W.
- If you know W and F, divide W by F to get D.
- If you know W and D, divide W by D to get F.

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1. A book weighing 1.0 newton is lifted 2 meters. How much work was done?

- Force (F) = 1.0 N
- Distance (d) = 2 m
- Work (W) = F × d = 1.0 × 2 = 2.0 J

✔ Answer: 2.0 J (or 2.0 N·m)

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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?

- F = 15 N
- d = 3 m
- W = 15 × 3 = 45 J

✔ Answer: 45 J

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3. It took 50 joules to push a chair 5 meters across the floor. With what force was the chair pushed?

- W = 50 J
- d = 5 m
- F = W ÷ d = 50 ÷ 5 = 10 N

✔ Answer: 10 N

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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?

- F = 100 N
- W = 150 J
- d = W ÷ F = 150 ÷ 100 = 1.5 m

✔ Answer: 1.5 m

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5. It took 500 newtons of force to push a car 4 meters. How much work was done?

- F = 500 N
- d = 4 m
- W = 500 × 4 = 2000 J

✔ Answer: 2000 J

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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?

- F = 9,000 N
- d = 0 m (since the car did not move)
- W = F × d = 9,000 × 0 = 0 J

✔ Answer: 0 J

> ⚠️ Important: No work is done if there is no displacement, even if a large force is applied.

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✔ Final Answers:

| Problem | Answer (Units) |
|--------|----------------|
| 1 | 2.0 J |
| 2 | 45 J |
| 3 | 10 N |
| 4 | 1.5 m |
| 5 | 2000 J |
| 6 | 0 J |

Let me know if you'd like this formatted as a printable worksheet!