Edexcel A-Level Physics Algebra

Review algebra in Edexcel A-Level Physics through formula substitution, unit conversion and powered terms in mechanics and astrophysics calculations.

Exam points

substitute measured quantities into multi-variable equations for modulus, strain or luminosity
convert units before evaluating powers such as x², d⁴ or t² in physical formulae

Covered syllabus points

C.2.1—Mathematical symbols C.2.2—Changing the subject of equations C.2.3—Substitution into equations C.2.4—Solving algebraic equations C.2.5—Logarithmic quantities

[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 C.2 Algebra 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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Covered syllabus points

C.2 Algebra question 1