stretching springs

• How does displacement affect the force needed to stretch a spring?

  More displacement requires more force
• What does elasticity mean in materials?

  A material can stretch and return to shape
• What concept does Hooke's Law help us understand regarding springs?

  It helps us understand elasticity
• What is the relationship between force and displacement in Hooke's Law?

  They are directly proportional to each other
• What is a spring?

  A flexible metal coil
• What is the relationship between force and displacement shown in the graph?

  The relationship is linear, with the force increasing proportionally to the displacement
• How does a spring behave when stretched or compressed?

  It always bounces back to its original shape
• What are the key characteristics of elastic materials?

  • Can stretch or compress
  • Return to original shape after force removal
  • Examples include rubber bands and springs
• What does Hooke's Law describe?

  How elasticity works in materials
• How does Hooke's Law relate force and displacement in springs?

  • Force is proportional to displacement
  • More displacement requires more force
  • Formula: $F =$$kx$ (where $F$ is force, $k$ is spring constant, $x$ is displacement)
• What are the key points in the process of stretching a spring?

  • Apply a force to stretch the spring
  • Follow Hooke's Law for force and displacement
  • The slope of the graph equals the spring constant
  • Beyond the elastic limit, the spring deforms permanently
• What is applied to stretch a spring?

  A force
• What does Hooke's Law state about stretching a spring?

  The force equals spring constant times displacement
• How does a rubber band demonstrate elasticity?

  It stretches and pulls back when released
• What type of energy does a spring store and release?

  Energy like a rubber band
• What is the significance of the "elastic limit" shown in the graph?

  The elastic limit represents the maximum force the material can withstand before it starts to deform permanently
• What happens to a spring beyond the elastic limit?

  It becomes permanently deformed
• How do springs function in a car?

  • Absorb shock from bumps
  • Keep the car stable
• What is the label for the point marked "L" on the graph?

  limit of proportionality for a stretched spring
• What does the area under the force-extension graph represent?

  Total work done on the spring
• What does the force (F) and displacement (x) relationship follow when stretching a spring?

  Hooke's Law
• What role do springs play in elasticity?

  They absorb energy during shocks on a car
• What does Hooke's Law state about springs?

  Force is proportional to displacement
• How does a higher spring constant (k) affect the force required to stretch a spring?

  It requires more force to stretch the spring
• What does the spring constant (k) measure?

  It measures how stiff the spring is
• What does Hooke's Law state about stretching a spring?

  The force needed depends on the displacement
• What is the work done when stretching a spring?

  Energy transferred to the spring
• What does the work done on a spring become stored as?

  Elastic potential energy
• What occurs at point D in the spring's deformation process?

  The spring enters the inelastic region
• What is the formula for the spring constant, k, shown in the graph?

  • The spring constant, k, is the slope of the force-displacement graph
  • The formula for the spring constant is: k = F/x, where F is the force and x is the displacement
• If the spring constant, k, is $10 \text{ N/m}$, what is the force required to displace the material by $2 \text{ m}$?


  $20 \text{ N}$
• What is the significance of the point labeled "D" on the graph?

  • The point labeled "D" represents the permanent extension of the stretched spring.
  • At this point, the spring has been stretched beyond its limit of proportionality and will not return to its original length when the force is removed.
• If the spring constant k is 2 N/cm, what is the force needed to stretch it by 3 cm?

  6 N
• What is the significance of the spring constant, k, in the context of this graph?

  • The spring constant, k, represents the stiffness or rigidity of the material
  • A higher spring constant means the material is more rigid and requires more force to displace it
  • A lower spring constant means the material is more flexible and requires less force to displace it
• What is the relationship between spring constant, stretch, and energy stored in a spring?

  • Energy stored is proportional to the spring constant
  • Energy stored increases with greater stretch
  • Hooke's Law: \( F = kx \) (Force = spring constant × stretch)
• What does the amount of energy stored in a spring depend on?

  The spring constant and the amount of stretch
• What is the term used to describe the energy stored in a compressed or stretched spring?

  Elastic potential energy
• What does Hooke's Law describe in relation to springs?

  Storing potential energy when stretched/compressed
• How do measuring devices utilize springs?

  They measure weight using elastic properties
• What characterizes an inelastic spring's response to deformation?

  It remains deformed after force removal