Elasticity, spring constant, Hookes law

• What are the main topics covered in today's video?

  The different types of elasticity, spring constant, Hooke's law, and force-extension graphs
• What happens when a force is applied to an object?

  It can cause the object to compress, stretch, or bend
• Why is it easier to see deformation in a spring compared to other objects?

  Because springs are more elastic than other objects like a ball or a phone
• What must be applied to an object to keep it stationary when a force is applied?

  More than one force must be applied
• What do we call the change in shape of an object when a force is applied?

  Deformation
• What are the two types of deformation?

  Elastic and inelastic deformation
• What is elastic deformation?

  When an object returns to its original shape after the forces are removed
• What is inelastic deformation?

  When an object does not return to its original shape after the forces are removed
• What is extension in the context of springs?

  The increasing length of a spring when it is stretched
• What happens to a spring's length when a mass is added to it?

  The spring's length increases due to the weight of the mass
• What force acts on the spring when a mass is added?

  The weight of the mass pulls down on the spring
• What does the solid support do when a mass is added to the spring?

  It exerts an equal but opposite force upwards
• What is the relationship between force and extension in a spring?

  Extension increases proportionally with the applied force
• How is the relationship between force and extension expressed mathematically?

  As $f \propto e$, where $f$ is force and $e$ is extension
• What does the spring constant $k$ represent?


  It indicates how many newtons are needed to stretch the spring by one meter
• What is the formula for force in relation to spring constant and extension?

  $f =$$ke$, where $k$ is the spring constant and $e$ is extension
• How is the spring constant $k$ measured?


  In newtons per meter
• What does a higher spring constant indicate about a material?

  It indicates that the material is stiffer and requires more force to stretch
• What does a graph of force against extension show?

  As force increases, extension also increases, forming a straight line through the origin
• What is Hooke's law?

  It states that force and extension are directly proportional within the elastic limit
• What happens to the deformation of an object beyond the elastic limit?

  The object may not return to its original shape and will be inelastically deformed
• What is another term for inelastic deformation?

  Plastic deformation
• What are the key concepts related to elasticity and deformation?

  • Types of deformation: elastic and inelastic
  • Elastic deformation: returns to original shape
  • Inelastic deformation: does not return to original shape
  • Extension: increasing length of a spring when stretched
  • Hooke's law: force is proportional to extension within elastic limit