Physics worksheet on calculating work using the formula Work = Force x Distance, featuring problems with illustrations of a plane and a waiter.

Let's solve each question on the worksheet step by step and explain the reasoning.

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Background Review:

The formula for work is:

> Work = Force × Distance

- Work is measured in Joules (J)
- Force is measured in Newtons (N)
- Distance is measured in meters (m)

Also, note:
- Work is done only if there is a force applied in the direction of motion.
- If no motion occurs or force is perpendicular to motion, no work is done.

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Question 1:

__________ is the unit for work.

✔ Answer: Joule (J)
*Explanation:* Work and energy are both measured in Joules (J). One Joule equals one Newton-meter (N·m).

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Question 2:

__________ is the unit for force.

✔ Answer: Newton (N)
*Explanation:* The SI unit of force is the Newton (N), named after Sir Isaac Newton.

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Question 3:

__________ is the unit for distance.

✔ Answer: Meter (m)
*Explanation:* The standard unit of distance in the metric system is the meter (m).

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Question 4:

A constant 0.20 Newtons of net force is exerted as a 16-gram plane flies 8 meters. How much work is done by the plane?

We use:
> Work = Force × Distance

Given:
- Force = 0.20 N
- Distance = 8 m

⚠️ Note: The mass (16 grams) is not needed here because we're given the net force directly.

Now plug into the equation:

> Work = 0.20 N × 8 m = 1.6 J

✔ Answer: 1.6 Joules

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Question 5:

A man has a weight of 100 Newtons. How much work is done if he climbs 4 meters up a ladder?

Again, use:
> Work = Force × Distance

Here:
- Force = 100 N (this is his weight, which is the force he must overcome)
- Distance = 4 m (vertical climb)

> Work = 100 N × 4 m = 400 J

✔ Answer: 400 Joules

*Explanation:* The man applies an upward force equal to his weight to lift himself against gravity. Since motion is vertical and force is in the same direction, work is done.

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Question 6:

A waiter applies 10 Newtons of net force to accelerate some meals 2 meters across the dining room. How much work is done on the food during the acceleration?

Use:
> Work = Force × Distance

Given:
- Force = 10 N
- Distance = 2 m

> Work = 10 N × 2 m = 20 J

✔ Answer: 20 Joules

*Explanation:* Even though the food is accelerating (changing speed), the work done depends only on the force applied and the distance moved in the direction of the force. Acceleration implies a net force, but we already have that value.

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✔ Final Answers:

1. Joule (J)
2. Newton (N)
3. Meter (m)
4. 1.6 J
5. 400 J
6. 20 J

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📝 Summary of Key Concepts:

- Work requires force and motion in the direction of the force.
- Units matter: J = N × m
- Mass is not directly used unless you need to calculate force from mass (F = mg), but here forces were given directly.

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