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Subjects · Leaving Cert Applied Maths

Leaving Cert Applied Maths: Hooke's law & elastic energy

How often Hooke's law & elastic energy comes up on the Applied Maths papers, every year it was asked, and questions to try.

HL Asked on 1 of the last 3 Higher Level papers, most recently in 2025.

Hooke's law & elastic energy, Higher Level(8 marks)

Quick ones on Hooke's law & elastic energy.

(a)Hooke's law for a spring or elastic string?
  1. Tension = k ÷ extension
  2. Tension = k × extension
  3. Tension = k × extension²
(b)A spring with k = 200 N/m is stretched 0.15 m. Tension?
  1. 2.25 N
  2. 3 N
  3. 30 N
(c)Elastic energy stored in a spring (k = 400 N/m) stretched by 0.1 m?
  1. 2 J
  2. 40 J
  3. 4 J
Show the answers

(a) Tension = k × extension

(b) 30 N

(c) 2 J

Your turn: Higher Level questions on Hooke's law & elastic energy.

Higher Level

Asked on 1 of the last 3 Higher Level papers, most recently in 2025.

Every paper, year by year

YearWhere it came up
2025Q6
2024Not asked
2023Not asked

Links open the State Examinations Commission’s paper for that year.

More Hooke's law & elastic energy questions

Hooke's law & elastic energy, 2 marks

On a graph of tension against extension for a spring, what does the area under the line give?

  1. The stiffness k of the spring
  2. The extension of the spring
  3. The elastic energy stored
Show the answer

The elastic energy stored

Work done = ∫ T dx, the area under the graph. For a straight line T = kx this triangle is ½ × x × kx = ½kx². The gradient of the line is k.

Other Applied Maths topics

All of Leaving Cert Applied Maths