Edexcel A-Level Physics A2 C 2 3 Substitution Into Equations Questions

Review substitution into equations in Edexcel A-Level Physics through modulus, strain and luminosity calculations using measured quantities.

Exam points

substitute measured values with converted SI units into equations for modulus, strain or luminosity
evaluate squared and fourth-power terms accurately before giving a rounded physical value

[Maximum number: 2]

An L-shaped steel rod was held horizontally in a stand clamped by its shorter end as shown.

The end of the steel rod was at a height p above the bench. A student attached a mass m to the end of the steel rod causing it to bend towards the bench. The end of the steel rod was then at a height q above the bench.

Figure for Question Edexcel A-Level Physics A2 C 2 3 Substitution Into Equations Questions question 1 — Edexcel A-Level Physics A2

The shear modulus G is a measure of a material’s resistance to bending, and is given by

G = 32mglx²/(πyd⁴)

where m is the mass attached to the end of the rod and y is the vertical deflection. l and x are the lengths as shown below.

Determine a value of G for steel in N m^-2.

m = 100 g with negligible uncertainty
l = 58.9 cm ± 0.1 cm
x = 10.3 cm ± 0.1 cm
y = 26 mm ± 1 mm

G =

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Edexcel A-Level Physics A2 C 2 3 Substitution Into Equations Questions question 1