A wire consists of a 3.0 m length of metal X joined to a 1.0 m length of metal Y . The cross-sectional area of the wire is uniform. A load hung from the wire causes metal X to extend by 1.5 mm and metal Y to extend by 1.0 mm . The same load is then hung from a second wire of the same cross-sectional area, consisting of a 1.0 m length of metal X and a 3.0 m length of metal Y . Both wires are extended within their limit of proportionality. What is the total extension of this second wire?

2.5 mm

3.5 mm

4.8 mm

5.0 mm

Physics

IGCSE&ALevel

CAIE

Exam No：9702_w24_qp_11 Year：2024 Question No：23

Answer:

Knowledge points:

6.1.1 appreciate that deformation is caused by a force and that, in one dimension, the deformation can be tensile or compressive

6.1.2 describe the behaviour of springs in terms of load, extension, elastic limit, Hooke’s law and the spring constant (i.e. force per unit extension)

6.1.3 define and use the terms stress, strain and the Young modulus

6.1.4 describe an experiment to determine the Young modulus of a metal in the form of a wire

Answer:

Knowledge points:

Solution:

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