Mechanical Properties of Materials · CAPE Physics Unit 1
129 past-paper questions on Mechanical Properties of Materials, part of Thermal and Mechanical Properties of Matter, from every CAPE Physics Unit 1 paper on Quelpr.
- Q351 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1An adult at rest has a blood pressure of
130/85. This is measured in\text{mm}of mercury. What would this reading be in\text{Pa}? (Density of mercury =13600\text{ kg m}^{-3}.) - Q391 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1In which of the following graphs does the shaded area show the energy lost during the loading and unloading process of a polymeric material?
- Q421 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1Calculate the volume occupied by one atom of copper if it has a molar mass of
0.0635\text{ kg}and a density of8920\text{ kg m}^{-3}. - Q431 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1The diagram above shows a U-tube containing two immiscible liquids. Which statement about the arrangement is TRUE?
- Q441 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1An alloy is made of a mixture of two metals. Metal A has a density of
8900\text{ kg m}^{-3}and Metal B has a density of7800\text{ kg m}^{-3}. What is the density of the alloy if Metal A has three times the volume… - Q451 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A spring with spring constant
k, has an extensionx, when a massm, is attached to it. Another spring identical to the first is hung parallel to the first and the same massmis hung across both. Which option… - Q81 mark · multiple choice· CAPE Physics Unit 1 · 2007 (Specimen) · Paper 1Water is poured into a measuring cylinder until it reaches the
250\text{ cm}^3mark on the scale. If a lump of ice weighing50\text{ g}is floated in the water, what will the new reading be? - Q421 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1What is the density
\rhoof liquid X? - Q431 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1A child drinks orange juice of density,
\rho, using a straw held vertically. The atmospheric pressure isP_aand the child can lower the pressure at the top of the straw by 20%. The MAXIMUM length of straw that… - Q441 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1The diagram shows the force extension graph for an elastic material. What does the shaded region under the graph represent?
- Q451 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1Which one of the statements about deformation of solids is NOT true?
- Q411 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1Water of depth
10\text{ m}exerts a pressure equal to atmospheric pressure. An air bubble rises to the surface of a lake which is20\text{ m}deep. When the bubble reaches the surface its volume is6\text{ cm}^3.… - Q441 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1Two identical springs are hung side by side (in parallel) and they are connected to a load of
7.5\text{ N}. They each experience an extension of2.5\text{ cm}. What is the force constant of one of the springs? - Q451 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1The figure above shows the force-extension graph of a wire. How much work is done in stretching the wire from an extension of
1\text{ mm}to2\text{ mm}? - Q421 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1Item 42 refers to the following diagram.
The material shown has length,
l, and cross sectional areaA. When a force,F, is applied to the material it causes an extension,e, in the material. Which of the… - Q441 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1The graph below was obtained by applying various forces,
F, to a piece of wire and measuring its length,l. What information can be inferred from the graph? I. The force constant of the material is… - Q451 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1Item 45 refers to the following diagram which shows the force-extension graph of a wire.
How much work is done in stretching the wire from an extension of
1\text{ mm}to2\text{ mm}? - Q411 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1What is the total pressure on the base of a container of cross-sectional area
5.0\text{ m}^2, if it is filled with ethylene glycol of density1120\text{ kg m}^{-3}up to a depth of3.0\text{ m}? [Atm. press =… - Q431 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1Four different liquids are poured into identical measuring cylinders. The diagrams show the heights of the liquids and their densities. Which liquid exerts the LARGEST pressure on the base of its measuring cylinder?
- Q451 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1The figure above shows the force-extension graph of a wire. How much work is done in stretching the wire from an extension of
1\text{ mm}to2\text{ mm}? - Q411 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1Item 41 refers to the following diagram.
In the U-tube manometer shown above, the pressure at X is atmospheric pressure (
p_A) and the liquid in the tube has a density of\rho. The pressure at Y is equal to the… - Q421 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1Item 42 refers to the following diagram.
The material shown has length,
l, and cross-sectional area,A. When a force,F, is applied to the material it causes an extension,e, in the material. Which of the… - Q441 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1Which of the following graphs BEST represents how the extension of a ductile material varies progressively with the load attached?
- Q451 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1Item 45 refers to the following diagram.
The figure above shows the force-extension graph of a wire. How much work is done in stretching the wire from an extension of
1\text{ mm}to2\text{ mm}? - Q411 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1What is the total pressure on the base of a container of cross-sectional area
5.0\text{ m}^2if it is filled with ethylene glycol of density1120\text{ kg m}^{-3}up to a depth of3.0\text{ m}? [Atm. press =… - Q421 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1Two identical springs hang side by side (in parallel) and are connected to a load of
7.5\text{ N}. They each experience an extension of2.5\text{ cm}. What is the force constant of ONE of the springs? - Q431 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1A
5\text{ kg}mass hangs from a uniform steel wire and the resulting stress in the wire is\sigma. Hanging a10\text{ kg}mass from a steel wire of twice the diameter would result in a stress of - Q441 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1Item 44 refers to the following graph. The graph above is MOST likely to apply to
- Q451 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1Item 45 refers to the following diagram.
The figure above shows the force-extension graph of a wire. How much work is done in stretching the wire from an extension of
1\text{ mm}to2\text{ mm}? - Q411 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1Four different liquids are poured into identical measuring cylinders. The diagrams below show the heights of the liquids and their densities. Which liquid exerts the LARGEST pressure on the base of its measuring…
- Q421 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1The material shown has length,
l, and cross-sectional area,A. When a force,F, is applied to the material it causes an extension,e, in the material. Which of the following expressions can be used to determine… - Q451 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1The figure above shows the force-extension graph of a wire. How much work is done in stretching the wire from an extension of
1\text{ mm}to2\text{ mm}? - Q401 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1Which of the following graphs BEST represents how the extension of a ductile material varies progressively with the load attached?
- Q411 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1Four different liquids are poured into identical measuring cylinders. The diagrams show the heights of the liquids and their densities. Which liquid exerts the LARGEST pressure on the base of its measuring cylinder?
- Q421 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1Two identical springs hang side by side (in parallel) and are connected to a load of
7.5\text{ N}. They each experience an extension of2.5\text{ cm}. What is the force constant of ONE of the springs? - Q431 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1What is the total pressure on the base of a container of cross-sectional area
5.0\text{ m}^2, if it is filled with ethylene glycol of density1120\text{ kg m}^{-3}up to a depth of3.0\text{ m}? [Atm. press… - Q441 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1Item 44 refers to the following graph. The graph above is MOST likely to apply to
- Q451 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1Item 45 refers to the following diagram. The diagram shows the force-extension graph for an elastic material. Which property of the elastic material does the shaded region under the graph represent?
- Q451 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1Item 45 refers to the following graph which shows the force in newtons,
F, required for the extension in millimetres,E, of a material. According to the graph, which of the following statements is/are true? I. The… - Q411 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Two identical springs hang side by side (in parallel) and are connected to a load of
7.5\text{ N}. They each experience an extension of2.5\text{ cm}. What is the force constant of ONE of the springs? - Q421 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Which of the following graphs BEST represents how the extension of a ductile material varies progressively with the load attached?
- Q431 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1A
5\text{-kg}mass hangs from a uniform steel wire and the resulting stress in the wire is\sigma. Hanging a10\text{-kg}mass from a steel wire of twice the diameter would result in a stress of - Q441 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Container A with a base area of
2\text{ cm}^2is filled with water to a depth of15\text{ cm}. Some of the water is then emptied and the new height becomes6\text{ cm}. What is the pressure difference between the… - Q451 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Which property of the elastic material does the shaded region under the graph represent?
- Q401 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1Four different liquids are poured into identical measuring cylinders. Which of the following diagrams shows the liquid that exerts the GREATEST pressure on the base of its measuring cylinder?
- 3(a)(i)3 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Define the term 'stress', and state the unit in which it is measured.
- 3(a)(ii)2 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Define the term 'strain', and state the unit in which it is measured.
- 3(b)(i)4 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Describe the behaviour of the metal wire in EACH of the following segments of the graph: AB, BC, CD.
- 3(b)(ii)2 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Explain what is meant by the 'elastic limit' of a wire.
- 3(b)(iii)1 mark· CAPE Physics Unit 1 · May/June 2022 · Paper 2If EACH major interval on the vertical axis of the graph in Figure 4 represents 150 MPa, determine the elastic limit of the wire.
- 3(b)(iv)2 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2The wire can be described as a ductile material. State TWO properties of ductile materials.
- 3(b)(v)1 mark· CAPE Physics Unit 1 · May/June 2022 · Paper 2In terms of the wire, what does the interval AD on the graph represent?
- 3(b)(vi)1 mark· CAPE Physics Unit 1 · May/June 2022 · Paper 2State how the energy per unit volume stored in the wire during the loading process can be determined from the graph.
- 3(c)(i)1 mark· CAPE Physics Unit 1 · May/June 2022 · Paper 2State what is meant by the term 'high tensile strength'.
- 3(c)(ii)2 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Using the graph in Figure 5, explain how the properties of spider silk make it more suitable than silkworm silk for building webs to catch insects.
- 3(c)(iii)3 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Using the graph in Figure 5, determine the MAXIMUM amount of energy that can be stored by silkworm silk before it fractures.
- 3(c)(iv)2 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Using the graph in Figure 5, determine the Young’s modulus of spider silk for small stresses.
- 3(c)(v)6 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2An insect flies into a spider’s web and becomes attached to a single thread, creating a tension of 580 μN. The thread extends by approximately 3% of its original length. Calculate the radius of a single thread of spider…
- 2(c)(i)2 marks· CAPE Physics Unit 1 · May/June 2023 · Paper 2Assuming that Hooke's law is obeyed, calculate the extension produced in the spring.
- 3(a)6 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Complete the table by inserting ONE difference between crystalline and non-crystalline solids in terms of structure and properties, and give ONE example of EACH type of solid.
- 3(b)6 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2With the aid of a diagram, describe a simple experimental procedure that could be used to determine the Young's modulus of a length of sample wire.
- 3(c)4 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Define the terms 'tensile stress' and 'tensile strain'.
- 3(d)(i)1 mark· CAPE Physics Unit 1 · May/June 2026 · Paper 2Write an expression to show the relationship between ΔL_short and ΔL_long.
- 3(d)(ii)2 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Assume that the force acting on the short leg is F_short. Deduce the equation to show the relationship between F_short and ΔL_short.
- 3(d)(iii)1 mark· CAPE Physics Unit 1 · May/June 2026 · Paper 2Assume that the force acting on the long leg is F_long. Deduce the equation to show the relationship between F_long and ΔL_long.
- 3(d)(iv)7 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Calculate the values of ΔL_short and ΔL_long.
- 3(d)(v)3 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Hence, determine the values of F_short and F_long.
- 1(b)(i)3 marks· Physics · Unit 1 Q1 1(b)(i)Determine the weight of the rock on Mars.
- 1(b)(i)1 mark· Physics · Unit 1 Q1 1(b)(i)Calculate the initial weight of the rocket.
- 1(b)(ii)1 mark· Physics · Unit 1 Q1 1(b)(ii)Calculate the final weight of the rocket.
- 1(c)5 marks· Physics · Unit 1 Q1 1(c)Find the density of the metal used to make the ball bearings, giving your answer to a suitable number of significant figures together with the error (uncertainty) in the value. (Volume of a sphere = (1/6)πD³)
- 31 mark· Physics · Unit 1 Q3 3The data shown in Table 2 was collected by hanging weights (F) on a metal wire and measuring the extension (x) caused. The wire was originally 2.00 m long and had a cross-sectional area of 2.00 x 10⁻⁷ m².
- 3(a)6 marks· Physics · Unit 1 Q3 3(a)With the aid of a diagram, describe an experiment to accurately determine the Young's modulus of a metal wire.
- 3(a)(i)1 mark· Physics · Unit 1 Q3 3(a)(i)Explain what is meant by EACH of the following terms. 'Stress': 'Strain':
- 3(a)(i)2 marks· Physics · Unit 1 Q3 3(a)(i)State Hooke's law.
- 3(a)(i)2 marks· Physics · Unit 1 Q3 3(a)(i)List TWO necessary precautions that should be taken during this experiment.
- 3(a)(i)3 marks· Physics · Unit 1 Q3 3(a)(i)In the spaces provided, sketch graphs of load versus extension for a steel wire, glass and a polymeric material.
- 3(a)(ii)6 marks· Physics · Unit 1 Q3 3(a)(ii)Describe how this arrangement could be used to determine the spring constant and hence, the mass of the rock sample.
- 3(a)(ii)2 marks· Physics · Unit 1 Q3 3(a)(ii)Define the terms 'stress' and 'strain'.
- 3(a)(ii)1 mark· Physics · Unit 1 Q3 3(a)(ii)Give ONE source of error that will be encountered during the experiment.
- 3(a)(ii)1 mark· Physics · Unit 1 Q3 3(a)(ii)Mark on the graph the region where the wire obeys Hooke's law.
- 3(a)(iii)2 marks· Physics · Unit 1 Q3 3(a)(iii)In the space below, sketch graphs to show how the graph in Figure 3 will change if the material is (a) Glass (b) Rubber
- 3(b)(i)1 mark· Physics · Unit 1 Q3 3(b)(i)Draw the line of best fit through the data points.
- 3(b)(i)1 mark· Physics · Unit 1 Q3 3(b)(i)Fill in the missing values of extension, ΔL, in the table.
- 3(b)(i)1 mark· Physics · Unit 1 Q3 3(b)(i)Explain why the student's first measurement was done with a load of 30 N.
- 3(b)(ii)3 marks· Physics · Unit 1 Q3 3(b)(ii)Determine the energy stored in one cubic millimetre of the wire.
- 3(b)(ii)3 marks· Physics · Unit 1 Q3 3(b)(ii)Determine the Young's modulus for the wire.
- 3(b)(ii)4 marks· Physics · Unit 1 Q3 3(b)(ii)On the grid on page 11, draw a graph of load versus extension.
- 3(b)(ii)2 marks· Physics · Unit 1 Q3 3(b)(ii)Beyond Point A, the spring undergoes inelastic deformation. Explain the term 'inelastic deformation'.
- 3(b)(ii)b)2 marks· Physics · Unit 1 Q3 3(b)(ii)b)At the LOWEST point, calculate the stress experienced by the wire.
- 3(b)(ii)c)3 marks· Physics · Unit 1 Q3 3(b)(ii)c)At the LOWEST point, calculate the extension of the wire.
- 3(b)(iii)2 marks· Physics · Unit 1 Q3 3(b)(iii)Write an equation relating M and ΔL for small loads to Young's modulus E for the rubber. Write an equation relating Young's modulus and the gradient of your graph for small loads.
- 3(b)(iv)4 marks· Physics · Unit 1 Q3 3(b)(iv)Use your graph to determine Young's modulus for the rubber for small loads.
- 3(c)1 mark· Physics · Unit 1 Q3 3(c)Explain whether or not the wire breaks at this point.
- 3(c)(i)1 mark· Physics · Unit 1 Q3 3(c)(i)At what load does the wire cease to obey Hooke's law?
- 3(c)(i)1 mark· Physics · Unit 1 Q3 3(c)(i)Sketch the shape of the graph if the elastic limit had been reached at an extension of 6.0 mm.
- 3(c)(ii)3 marks· Physics · Unit 1 Q3 3(c)(ii)Use the graph to determine the value of Young's Modulus for this metal.
- 3(c)(ii)3 marks· Physics · Unit 1 Q3 3(c)(ii)Determine the pressure of the gas in the bulb when the liquid is at its boiling point.
- 4(b)(i)1 mark· Physics · Unit 1 Q4 4(b)(i)Determine the weight of water that would be collected in the beaker.
- 4(b)(ii)3 marks· Physics · Unit 1 Q4 4(b)(ii)For (b) (i), calculate the volume of water displaced and hence, determine the density of the stone.
- 4(c)(i)2 marks· Physics · Unit 1 Q4 4(c)(i)Calculate the ratio of the strain in the steel wire to the strain in the copper wire.
- 4(c)(i)10 marks· Physics · Unit 1 Q4 4(c)(i)Calculate the mass of the rock.
- 4(c)(i)1 mark· Physics · Unit 1 Q4 4(c)(i)State the reason why the height of liquid in the measuring cylinder rose by the same amount.
- 4(c)(ii)3 marks· Physics · Unit 1 Q4 4(c)(ii)Hence, calculate the extension of the copper wire.
- 4(c)(iii)4 marks· Physics · Unit 1 Q4 4(c)(iii)Calculate the density of the corn oil.
- 6(a)3 marks· Physics · Unit 1 Q6 6(a)Define the term 'Young's modulus'. Include a suitable formula in your definition.
- 6(a)5 marks· Physics · Unit 1 Q6 6(a)With the aid of a diagram, derive the expression P = hρg at a depth, h, in a liquid of density, ρ.
- 6(b)4 marks· Physics · Unit 1 Q6 6(b)Explain the differences between 'elastic deformation' and 'inelastic deformation' by making reference to Hooke's law and energy changes in materials.
- 6(b)(i)5 marks· Physics · Unit 1 Q6 6(b)(i)Determine the pressure exerted on the cube at this depth. [Assume that the density of sea water is constant and equal to 1.04 × 10³ kgm⁻³]
- 6(b)(ii)1 mark· Physics · Unit 1 Q6 6(b)(ii)Determine the decrease in length (in mm) of any side of the cube resulting from this pressure, given that the Young's Modulus for aluminum is 69 GPa.
- 6(c)3 marks· Physics · Unit 1 Q6 6(c)Calculate the amount of compression that this bone can withstand before breaking. (State your answer in mm.)
- 6(c)(i)5 marks· Physics · Unit 1 Q6 6(c)(i)Explain what happens to the wire at points A and B.
- 6(c)(ii)1 mark· Physics · Unit 1 Q6 6(c)(ii)Using the graph, determine the strain energy in the wire at point X.
- 6(d)(i)2 marks· Physics · Unit 1 Q6 6(d)(i)Use the Young's modulus of the steel to determine the tension in the cable.
- 6(d)(ii)3 marks· Physics · Unit 1 Q6 6(d)(ii)Assuming it is an 8-tonne crane and that the length of the cable is 8 m, determine the extension in the cable when it is operating at maximum load.
- 9(a)2 marks· Physics · Unit 1 Q9 9(a)Define 'tensile stress' and 'tensile strain'.
- 9(a)(i)a)8 marks· Physics · Unit 1 Q9 9(a)(i)a)Define the following terms: Density
- 9(a)(i)b)1 mark· Physics · Unit 1 Q9 9(a)(i)b)Define the following terms: Pressure
- 9(a)(ii)1 mark· Physics · Unit 1 Q9 9(a)(ii)Derive the equation ΔP = ρgΔh where ΔP is the change in pressure in a liquid, g is the acceleration due to gravity and Δh is the change in depth in a liquid.
- 9(b)3 marks· Physics · Unit 1 Q9 9(b)Show how is k related to the Young's Modulus E of the wire.
- 9(b)2 marks· Physics · Unit 1 Q9 9(b)Use the kinetic theory of matter to explain the difference in the order of the size of these densities.
- 9(c)(i)15 marks· Physics · Unit 1 Q9 9(c)(i)Plot a graph of load against extension using the values from the table.
- 9(c)(i)10 marks· Physics · Unit 1 Q9 9(c)(i)Calculate the pressure due to Liquid L at depths of 3.0 cm and 14.0 cm.
- 9(c)(ii)15 marks· Physics · Unit 1 Q9 9(c)(ii)Use the graph plotted in (c)(i) to calculate the Young Modulus of Copper.
- 9(c)(ii)1 mark· Physics · Unit 1 Q9 9(c)(ii)Find the net force acting on the Liquid L between planes AA₁ and BB₁.
- 9(c)(iii)15 marks· Physics · Unit 1 Q9 9(c)(iii)What is the maximum load that can be supported by the wire?
- 9(c)(iii)1 mark· Physics · Unit 1 Q9 9(c)(iii)Determine the weight of liquid between the planes AA₁ and BB₁.
- 9(c)(iv)15 marks· Physics · Unit 1 Q9 9(c)(iv)What was the stress at the proportional limit?
- 9(c)(v)15 marks· Physics · Unit 1 Q9 9(c)(v)Calculate the elastic energy stored in the wire just before the wire became permanently stretched.