City Guilds Model Questions Vol1 2023 Engineering Question 16

Practice objective / multiple choice question 16 from the 2023 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2023 Engineering Objective / Multiple Choice Medium Difficulty
Question 16 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2023 • ENGINEERING • objective

A composite material is made by mixing material A and material B. Material A has a density of \(2.5\ \text{g/cm}^3\) and a Young's modulus of \(70\ \text{GPa}\). Material B has a density of \(8.0\ \text{g/cm}^3\) and a Young's modulus of \(200\ \text{GPa}\). The resulting composite has an overall density of \(3.5\ \text{g/cm}^3\) and an overall Young's modulus of \(93.6\ \text{GPa}\). Assuming the rule of mixtures applies linearly to both density and modulus, determine the volume fraction of material A in the composite. Then, for a block of the composite with a volume of \(0.20\ \text{m}^3\), calculate the mass of material A contained in the block. Give your answer in kilograms (to two decimal places).

Answer Options

A. 500.00 kg
B. 350.00 kg
C. 450.00 kg
Correct Answer D. 409.09 kg
Correct Answer
D
Correct Option:
409.09 kg

About This Question

This is City Guilds Model Questions Vol1 2023 Engineering Question 16. It is one of the objective questions from the 2023 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

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