levo

Forces and Matter

Spring constant, and linear and non-linear behaviour

  • 3 things to know
  • Paper 6

Overview

Force = spring constant × extension and the unit N/m, calculating force, spring constant and extension, stiff springs, linear and non-linear force–extension graphs, the limit of proportionality, and the intercept of a length–force graph.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

What does a large spring constant mean, and how does a force–extension graph show linear and then non-linear behaviour?

Key term

State the equation linking the force applied to a spring, its spring constant and its extension.

Key term

State the unit of the spring constant.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation linking the force applied to a spring, its spring constant and its extension.

    Model answer

    Force = spring constant × extension.

  2. 2

    State the unit of the spring constant.

    Model answer

    The newton per metre, N/m.

  3. 3

    Define the extension of a spring.

    Model answer

    It is the increase in the spring's length from its unstretched length.

  4. 4

    Calculate the force needed to stretch a spring of spring constant 25 N/m by 0.20 m.

    Model answer

    Force = 25 × 0.20 = 5.0 N.

  5. 5

    A force of 12 N stretches a spring by 0.040 m. Calculate the spring constant.

    Model answer

    Spring constant = 12 ÷ 0.040 = 300 N/m.

  6. 6

    Calculate the extension produced when a force of 7.5 N is applied to a spring of spring constant 50 N/m.

    Model answer

    Extension = 7.5 ÷ 50 = 0.15 m.

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Key Concepts of Physics
Motion and Forces
Conservation of Energy
Waves

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

2.5 × = 9000 s.
360027001000

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

ALength is measured in metres, with the symbol m.
BMass is measured in kilograms, symbol kg.
CTime is measured in seconds, symbol s.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Watt means the unit of power, symbol W.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Forces and Matter, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.