May/June 2026 Paper 23

2026 · 5 questions · 39 parts · 60 marks

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2(a)Elasticity Hookes Law Young ModulusEasy1 mark

Define the Young modulus of a material.

2(b)

A long, thin thread of high-density polythene has a uniform cross-section. The thread is suspended from one end so that it hangs vertically.

The thread has a mass of 0.018 kg and a cross-sectional area of

2.6 \times 1 0^{- 6}

^{2}

. High-density polythene has a density of 960 kg m

^{- 3}

and a Young modulus of

8.0 \times 1 0^{8}

Pa.

2(b)(i)Density PressureEasy2 marks

Show that the length of the thread is 7.2 m.

Answer

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2(b)(ii)Elasticity Hookes Law Young ModulusEasy2 marks

Show that the stress at the top of the thread due to its own weight is

6.8 \times 1 0^{4}

Pa.

Answer

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2(b)(iii)Elasticity Hookes Law Young ModulusMedium2 marks

Figure 2.1 shows the variation with distance from the top of the thread of the stress in the thread due to its own weight.

Figure 2.1, a graph of stress in units of 10^4 Pa (y-axis, 0 to 8) against distance from the top of the thread in m (x-axis, 0 to 8), showing a straight line from about (0, 6.8) down to (7.2, 0)

Suggest an explanation for the fact that the variation shown in Figure 2.1 is linear.

Answer

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2(c)

The thread in 2(b) is now laid horizontally on a frictionless bench. A tensile force is applied to the ends of the thread so that there is a uniform stress throughout the thread of

6.8 \times 1 0^{4}

Pa.

2(c)(i)Elasticity Hookes Law Young ModulusEasy2 marks

Calculate the extension of the thread.

2(c)(ii)Elasticity Hookes Law Young ModulusEasy2 marks

Calculate the elastic potential energy of the thread.

2(d)Elasticity Hookes Law Young ModulusEasy1 mark

Suggest, with a reason, whether the total extension of the vertically suspended thread in 2(b) is less than, equal to or greater than the answer in 2(c)(i).

Answer

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