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Fun with Hooke's Law and Springy Science: Force-Extension Graphs and More

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Reuben Cowell

12/05/2023

Physics

1.5.3 Forces and Elasticity

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Hooke's law

Fun with Hooke's Law and Springy Science: Force-Extension Graphs and More

Hooke's Law and Elasticity in Physics: Understanding force-extension relationships and deformation

  • Explores the principles of Hooke's law force-extension relationship and its applications in physics
  • Covers elastic and inelastic deformation in physics, including stretching, compressing, and bending of objects
  • Explains how to calculate work done on springs and the concept of elastic potential energy
  • Discusses force-extension graphs and methods for calculating spring constant using force-extension graphs
...

12/05/2023

340

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

View

Elastic and Inelastic Deformation

Objects can undergo either elastic or inelastic deformation when subjected to forces.

Definition: Elastic deformation occurs when an object returns to its original shape after the applied force is removed.

Definition: Inelastic deformation occurs when an object does not fully return to its original shape after the applied force is removed.

Examples of elastic objects:

  • Springs
  • Elastic bands

Examples of inelastic objects:

  • Plastic
  • Clay

Highlight: The elastic and inelastic deformation in physics concept is crucial for understanding material properties and behavior under stress.

Work Done on a Spring

When a spring is stretched or compressed, work is done, and energy is transferred to its elastic potential energy store. The work done on a spring can be calculated using the equation:

Formula: Ee = ½ × k × x²

Where:

  • Ee is the elastic potential energy
  • k is the spring constant
  • x is the extension

Highlight: This formula only applies to objects that haven't exceeded their limit of proportionality.

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

View

Hooke's Law and Extension

Hooke's law is a fundamental principle in physics that describes the relationship between force and extension in elastic objects.

Definition: Hooke's law states that the extension of an elastic object is directly proportional to the force applied, up to the limit of proportionality.

The limit of proportionality is the point beyond which an elastic object may extend but won't return to its original shape when the force is removed. This value varies by material.

Force-Extension Graphs

Force-extension graphs visually represent Hooke's law. These graphs typically show:

  1. A linear region where force and extension are directly proportional
  2. A non-linear region beyond the limit of proportionality markedaspointPmarked as point P

Example: In a force-extension graph for a spring, the initial straight line represents the elastic region, while the curved portion indicates the plastic region.

Calculating Spring Constant

The spring constant kk can be determined from force-extension graphs by finding the gradient:

Formula: k = gradient = ΔF / Δe

Where:

  • ΔF is the change in force
  • Δe is the change in extension

Highlight: A steeper gradient indicates a larger spring constant, meaning the spring is stiffer.

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

View

Using Hooke's Law

Hooke's Law is expressed by the equation:

Formula: F = k × e

Where:

  • F is the force inNewtons,Nin Newtons, N
  • k is the spring constant inNewtonspermeter,N/min Newtons per meter, N/m
  • e is the extension inmeters,min meters, m

Vocabulary: Extension is calculated by subtracting the original length from the final length of the object.

Solving Hooke's Law Problems

To solve problems using Hooke's Law:

  1. List known quantities
  2. Write down and rearrange the relevant equation
  3. Calculate extension finallength−originallengthfinal length - original length
  4. Convert units if necessary
  5. Substitute values into the equation

Highlight: Pay attention to units when solving Hooke's Law problems. The standard units are meters for length and Newtons per meter for spring constant.

Example: When calculating the spring constant using force extension graphs, ensure that you convert centimeters to meters by dividing by 100.

This comprehensive guide provides a solid foundation for understanding Hooke's law force extension relationship and related concepts in physics, suitable for GCSE and KS3 level students.

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

View

Answering Hooke's Law Questions

This page provides a step-by-step guide on how to approach and solve problems related to Hooke's Law.

Steps to answer a Hooke's Law question:

  1. List known quantities
  2. Write down and rearrange the relevant equation
  3. Calculate extension finallength−originallengthfinal length - original length
  4. Convert units if necessary
  5. Substitute values into the equation

Highlight: Pay close attention to units when solving Hooke's Law problems. Most springs are measured in centimeters, but Hooke's Law uses meters, so conversion may be necessary.

Example: The page includes a visual representation of a spring, highlighting the original length, final length, and the force weightweight applied, to help students understand how to apply Hooke's Law in practical scenarios.

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Subjects

Physics

Forces & movement

Hooke's law

 

Physics

•

340

•

12 May 2023

•

5 pages

Fun with Hooke's Law and Springy Science: Force-Extension Graphs and More

user profile picture

Reuben Cowell

@reubencowell

Hooke's Law and Elasticity in Physics: Understanding force-extension relationships and deformation

  • Explores the principles of Hooke's law force-extension relationship and its applications in physics
  • Covers elastic and inelastic deformation in physics, including stretching, compressing, and bending of objects... Show more

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

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Elastic and Inelastic Deformation

Objects can undergo either elastic or inelastic deformation when subjected to forces.

Definition: Elastic deformation occurs when an object returns to its original shape after the applied force is removed.

Definition: Inelastic deformation occurs when an object does not fully return to its original shape after the applied force is removed.

Examples of elastic objects:

  • Springs
  • Elastic bands

Examples of inelastic objects:

  • Plastic
  • Clay

Highlight: The elastic and inelastic deformation in physics concept is crucial for understanding material properties and behavior under stress.

Work Done on a Spring

When a spring is stretched or compressed, work is done, and energy is transferred to its elastic potential energy store. The work done on a spring can be calculated using the equation:

Formula: Ee = ½ × k × x²

Where:

  • Ee is the elastic potential energy
  • k is the spring constant
  • x is the extension

Highlight: This formula only applies to objects that haven't exceeded their limit of proportionality.

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

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Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Hooke's Law and Extension

Hooke's law is a fundamental principle in physics that describes the relationship between force and extension in elastic objects.

Definition: Hooke's law states that the extension of an elastic object is directly proportional to the force applied, up to the limit of proportionality.

The limit of proportionality is the point beyond which an elastic object may extend but won't return to its original shape when the force is removed. This value varies by material.

Force-Extension Graphs

Force-extension graphs visually represent Hooke's law. These graphs typically show:

  1. A linear region where force and extension are directly proportional
  2. A non-linear region beyond the limit of proportionality markedaspointPmarked as point P

Example: In a force-extension graph for a spring, the initial straight line represents the elastic region, while the curved portion indicates the plastic region.

Calculating Spring Constant

The spring constant kk can be determined from force-extension graphs by finding the gradient:

Formula: k = gradient = ΔF / Δe

Where:

  • ΔF is the change in force
  • Δe is the change in extension

Highlight: A steeper gradient indicates a larger spring constant, meaning the spring is stiffer.

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Using Hooke's Law

Hooke's Law is expressed by the equation:

Formula: F = k × e

Where:

  • F is the force inNewtons,Nin Newtons, N
  • k is the spring constant inNewtonspermeter,N/min Newtons per meter, N/m
  • e is the extension inmeters,min meters, m

Vocabulary: Extension is calculated by subtracting the original length from the final length of the object.

Solving Hooke's Law Problems

To solve problems using Hooke's Law:

  1. List known quantities
  2. Write down and rearrange the relevant equation
  3. Calculate extension finallength−originallengthfinal length - original length
  4. Convert units if necessary
  5. Substitute values into the equation

Highlight: Pay attention to units when solving Hooke's Law problems. The standard units are meters for length and Newtons per meter for spring constant.

Example: When calculating the spring constant using force extension graphs, ensure that you convert centimeters to meters by dividing by 100.

This comprehensive guide provides a solid foundation for understanding Hooke's law force extension relationship and related concepts in physics, suitable for GCSE and KS3 level students.

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Answering Hooke's Law Questions

This page provides a step-by-step guide on how to approach and solve problems related to Hooke's Law.

Steps to answer a Hooke's Law question:

  1. List known quantities
  2. Write down and rearrange the relevant equation
  3. Calculate extension finallength−originallengthfinal length - original length
  4. Convert units if necessary
  5. Substitute values into the equation

Highlight: Pay close attention to units when solving Hooke's Law problems. Most springs are measured in centimeters, but Hooke's Law uses meters, so conversion may be necessary.

Example: The page includes a visual representation of a spring, highlighting the original length, final length, and the force weightweight applied, to help students understand how to apply Hooke's Law in practical scenarios.

1.5.3 Forces and Elasticity Physics MOC Changing Shape When two or more forces are applied to an object, the object may stretch, compress, o

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Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Changing Shape and Deformation

When multiple forces act on an object, it may undergo deformation through stretching, compressing, or bending. This process transfers energy to the object's elastic potential energy store.

Definition: Deformation refers to a change in an object's shape due to applied forces.

The three main types of deformation are:

  1. Stretching: Forces acting in opposite directions away from the object
  2. Compressing: Forces acting in opposite directions towards the object
  3. Bending: Forces distorting the object's shape

Highlight: Deformation only occurs when two or more forces are applied. A single force would simply cause the object to move.

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Paul T

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Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

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