How to Calculate Work Done | Physics | Work = Force x Distance

MooMooMath and Science
13 Dec 202103:48
EducationalLearning
32 Likes 10 Comments

TLDRThis engaging video from 'moomoomath and science' delves into the fundamental concept of work in physics, which is defined as the product of force and distance. The presenter employs a helpful triangle model to illustrate the relationship between these three variables. The video offers step-by-step examples to calculate work, force, or distance given the other two. It begins with a runner exerting 200 Newtons over a 30-meter distance, resulting in 6,000 Joules of work. It then covers scenarios involving moving a sled with 8 Newtons over 2 meters (16 Joules of work) and determining the force needed to move a chair 10 meters with 500 Joules of work (50 Newtons). Finally, it calculates the distance a bike is moved by a 40 Newton force when 600 Joules of work is done (15 meters). The video concludes with a reminder of the importance of kindness, emphasizing the multiplier effect of kindness in our lives.

Takeaways
  • 📐 The formula for calculating work is force times distance (W = F × d).
  • 🔍 To find force when work and distance are known, use the formula force = work / distance (F = W / d).
  • 📏 To find distance when work and force are known, use the formula distance = work / force (d = W / F).
  • 🏃 In the first example, a runner does 6,000 joules of work by applying a force of 200 newtons over a distance of 30 meters.
  • 🛷 For the second example, moving a sled with a force of 8 newtons over 2 meters results in 16 joules of work.
  • 🪑 To find the force needed to move a chair 10 meters with 500 joules of work, divide the work by the distance (50 newtons).
  • 🚲 If a bike is moved by a force of 40 newtons and the work done is 600 joules, the distance moved is 15 meters.
  • ⚖️ The SI unit for work is the joule, which is equivalent to a newton-meter (J = N·m).
  • 🔗 Understanding the relationship between work, force, and distance is crucial for solving physics problems involving these quantities.
  • 📈 The triangle diagram can be a helpful visual tool to remember the relationships and conversions between work, force, and distance.
  • 💡 Always keep units consistent when performing calculations, as they are integral to the accuracy of the results.
  • 🌟 The video script emphasizes the importance of kindness, encouraging viewers to be kind to someone today.
Q & A

  • What is the basic formula for calculating work?

    -The basic formula for calculating work is work equals force times distance (W = F × d).

  • How many newtons of force did the runner apply to the ground during the race?

    -The runner applied a force of 200 newtons to the ground during the race.

  • If a runner runs a distance of 30 meters with a force of 200 newtons, how much work is done?

    -The work done by the runner is 6,000 joules, calculated as 200 newtons times 30 meters.

  • What is the SI unit for work?

    -The SI unit for work is the joule.

  • How much work is done if it takes 8 newtons of force to move a sled 2 meters?

    -The work done is 16 joules, calculated as 8 newtons times 2 meters.

  • If 500 joules of work are required to move a chair 10 meters, what force was needed?

    -The force needed is 50 newtons, calculated as 500 joules divided by 10 meters.

  • What is the relationship between work, force, and distance?

    -The relationship is that work is the product of force and distance, and conversely, force is work divided by distance, and distance is work divided by force.

  • How can you find the force if you know the work done and the distance moved?

    -You can find the force by dividing the work done by the distance moved (F = W/d).

  • How can you find the distance if you know the work done and the force applied?

    -You can find the distance by dividing the work done by the force applied (d = W/F).

  • In the example with the bike, what distance was it moved by a force of 40 newtons if the work was 600 joules?

    -The bike was moved 15 meters, calculated as 600 joules divided by 40 newtons.

  • Why is the triangle diagram helpful in understanding the relationship between work, force, and distance?

    -The triangle diagram helps visualize the interdependence of work, force, and distance, making it easier to remember the formulas and solve problems involving these quantities.

  • What is the moral lesson shared at the end of the video script?

    -The moral lesson is the importance of kindness, encouraging viewers to be kind to someone today.

Outlines
00:00
📐 Introduction to Calculating Work in Physics

The video begins with an introduction to the concept of work in physics, which is defined as the product of force and distance. A triangle is used as a mnemonic device to help remember the relationships between work, force, and distance. The formula for work is given as force times distance, and the video demonstrates how to rearrange this formula to solve for force or distance when needed. An example problem is solved, where a runner exerts a force of 200 newtons over a distance of 30 meters, resulting in 6,000 joules of work done.

🔍 Solving for Work with Given Force and Distance

The video provides a second example where John applies a force of 8 newtons to move a sled over a distance of 2 meters. Using the formula for work, the calculation is shown to be 8 newtons times 2 meters, which equals 16 joules. This example reinforces the understanding of how to calculate work when both force and distance are known.

⚙️ Finding Required Force Given Work and Distance

A slightly different problem is presented where the work done to move a chair is given as 500 joules over a distance of 10 meters. To find the force required, the video demonstrates dividing the work by the distance, which is 500 joules divided by 10 meters, resulting in a force of 50 newtons. This example shows how to use the relationship between work, force, and distance to find an unknown variable.

🚴‍♂️ Calculating Distance with Given Work and Force

The final example involves calculating the distance a bike is moved by a force of 40 newtons when the work done is 600 joules. The video shows how to rearrange the work formula to solve for distance by dividing the work by the force. The calculation is 600 joules divided by 40 newtons, which equals a distance of 15 meters. This example concludes the demonstration of how to use the work formula to find different variables based on the given information.

💖 Conclusion and Reminder for Kindness

The video concludes with a reminder of the utility of the triangle mnemonic for solving problems involving work, force, and distance. It also emphasizes the importance of kindness, encouraging viewers to be kind to someone today. This serves as a positive and uplifting message to end the educational content.

Mindmap
Keywords
💡Work
Work in the context of physics is defined as the product of the force applied to an object and the distance over which that force is applied. It is a measure of energy transfer and is central to the theme of the video, which is to calculate and understand work in various scenarios. For instance, the video provides an example where a runner does work by applying a force of 200 newtons over a distance of 30 meters, resulting in 6,000 joules of work.
💡Force
Force is a physical quantity that represents the interaction causing a change in the motion of an object. It is measured in newtons and is a fundamental concept in the calculation of work. In the video, force is used to determine the amount of work done when a runner impacts the ground and when John moves a sled, illustrating the direct relationship between force and work.
💡Distance
Distance is the scalar quantity that represents 'how far an object has traveled from a given point.' In the context of work, it is the space over which a force is applied. The video emphasizes the importance of distance in calculating work, as seen when the runner covers 30 meters and when the sled is moved 2 meters, both affecting the total work done.
💡Joules
Joules are the unit of measurement for energy, heat, and work in the International System of Units (SI). The video uses joules to express the amount of work done, such as when the runner does 6,000 joules of work and when the work done to move a chair is 500 joules. This unit is crucial for quantifying the work done in different examples.
💡Newton's Third Law
While not explicitly mentioned in the script, Newton's Third Law underlies the concept of force in the context of work. It states that for every action, there is an equal and opposite reaction. This law is implicitly used when discussing the force exerted by the runner on the ground, which is met with an equal and opposite force exerted by the ground on the runner.
💡Energy Transfer
Energy transfer is the process by which energy moves from one place to another or from one form to another. In the context of work, it is the process through which the force applied to an object results in the object moving, thus transferring energy. The video demonstrates energy transfer through examples of work done by a runner and John moving a sled.
💡Calculation
Calculation is the process of computing or determining something by mathematical methods. The video is focused on teaching viewers how to calculate work, force, and distance using mathematical formulas. Calculations are shown through examples, such as multiplying force by distance to find work and dividing work by distance to find force.
💡SI Unit
The SI unit, or International System of Units, is the modern form of the metric system and is the most widely used system of measurement. The video mentions joules as the SI unit for work, emphasizing the importance of using standardized units for scientific calculations and comparisons.
💡Triangle Diagram
The triangle diagram mentioned in the video serves as a visual aid to help understand the relationship between work, force, and distance. It is a mnemonic tool that helps viewers remember the formula for work (force times distance) and the inverse relationships for finding force or distance when one of them is known.
💡Race Runner
The race runner is used as an example in the video to illustrate the concept of work. The runner applies a force to the ground, and the distance covered during the race is used to calculate the work done. This real-world application helps viewers understand how the abstract concept of work can be applied to physical activities.
💡Sled
The sled is another example used in the video to demonstrate the calculation of work. John applying a force to move the sled a certain distance helps to show how work is calculated in a different context, reinforcing the concept that work is a universal principle applicable to various scenarios.
💡Kindness
While not directly related to the scientific content of the video, the mention of kindness at the end serves as a reminder of the human aspect of education and communication. It implies that while learning about technical subjects like physics, it is also important to foster a kind and supportive environment, which can enhance the learning experience.
Highlights

Introduction to calculating work in terms of force times distance.

Use of a triangle model to visualize the relationship between work, force, and distance.

Example calculation: A runner exerts 200 newtons of force over 30 meters, resulting in 6,000 joules of work.

Explanation of units: newtons, meters, and joules in the context of work.

Second example: John moves a sled with 8 newtons of force over 2 meters, doing 16 joules of work.

Illustration of how to find the force required to do a given amount of work using the triangle model.

Calculation of force needed to move a chair 10 meters using 500 joules of work, resulting in 50 newtons.

Unit conversion from joules to newton-meters and vice versa for clarity in calculations.

Third example: Determining the distance a bike is moved by a force of 40 newtons with 600 joules of work.

Result of the third example: The bike is moved 15 meters.

Emphasis on the importance of unit consistency during work, force, and distance calculations.

Practical application of the triangle model to solve for work, force, or distance in various scenarios.

Moral message: Encouragement to be kind and spread kindness to others.

The SI unit for work is the joule, which is derived from newton-meters.

Work can be calculated as force times distance, force as work divided by distance, and distance as work divided by force.

The video provides a step-by-step guide to solving work-related problems using the triangle model.

Each example in the video demonstrates a different application of the work formula in real-world scenarios.

The video concludes with a reminder of the significance of kindness in everyday interactions.

Transcripts

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Work CalculationPhysicsForceDistanceEducational ContentScienceMathPractical ExamplesSI UnitsJoulesKindness