Mechanical Properties of Matter

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Questions and Answers

Which property describes a material's ability to resist deformation under applied force?

  • Ductility
  • Stiffness (correct)
  • Strength
  • Brittleness

What is the relationship between the cross-sectional area of a material and its strength?

  • Strength is proportional to the square root of the cross-sectional area.
  • Strength is directly proportional to the cross-sectional area. (correct)
  • Cross-sectional area has no impact on strength.
  • Strength is inversely proportional to the cross-sectional area.

Which of the materials below is likely to exhibit the highest degree of ductility?

  • Copper Wire (correct)
  • Iron
  • Steel
  • Concrete

What characterizes a brittle material's response to applied force?

<p>It breaks suddenly without significant bending (C)</p> Signup and view all the answers

Which of the following factors does NOT influence a material's strength?

<p>Color of the material (C)</p> Signup and view all the answers

How does decreasing the temperature of a material generally affect its stiffness?

<p>Increases stiffness (C)</p> Signup and view all the answers

Which of the following materials would generally be considered both strong and stiff?

<p>Steel (B)</p> Signup and view all the answers

If a material is described as being able to be drawn into a wire, that would be an example of:

<p>Ductility (D)</p> Signup and view all the answers

Which of the following describes the behavior of electron clouds when intermolecular distance decreases?

<p>Electron clouds overlap, leading to a strong repulsive force. (B)</p> Signup and view all the answers

What is the primary distinction between cohesive and adhesive forces?

<p>Cohesive forces act between molecules of the same substance, while adhesive forces act between molecules of different substances. (D)</p> Signup and view all the answers

Why does mercury not wet glass?

<p>The cohesive force between mercury molecules is greater than the adhesive force between mercury and glass molecules. (C)</p> Signup and view all the answers

What best describes surface tension?

<p>The property of a liquid's free surface to behave like a stretched membrane and minimize its surface area. (C)</p> Signup and view all the answers

Surface tension is defined mathematically as:

<p>The force per unit length acting perpendicular on an imaginary line drawn on the liquid surface. (B)</p> Signup and view all the answers

What happens to the surface tension of a liquid when the temperature increases?

<p>The surface tension decreases linearly with temperature and becomes zero at the critical temperature. (A)</p> Signup and view all the answers

Considering surface tension, what is a capillary tube?

<p>A tube whose radius is very short, and uniform. (C)</p> Signup and view all the answers

How does the solubility of a substance generally affect the surface tension of water?

<p>Highly soluble substances increase the surface tension of water, while sparingly soluble substances reduce it. (B)</p> Signup and view all the answers

What is the effect of impurities on the surface tension of a liquid?

<p>Impurities either on the surface or dissolved in it, affect surface tension. (A)</p> Signup and view all the answers

Why are some insects able to walk on the surface of water?

<p>The force of the insects' weight is not enough to overcome the surface tension of the water. (C)</p> Signup and view all the answers

What distinguishes laminar flow from turbulent flow in fluid dynamics?

<p>Laminar flow involves fluid particles moving in parallel layers, while turbulent flow involves uneven flow with changes in speed. (C)</p> Signup and view all the answers

A steel needle can float on water due to surface tension, even though steel is denser than water. What is the primary reason for this phenomenon?

<p>The surface tension of water creates a 'skin' that supports the needle's weight. (C)</p> Signup and view all the answers

If the surface tension of a liquid is $0.05 , Nm^{-1}$, which of the following best describes the work required to increase the surface area of a soap film formed by it?

<p>More work is needed for a higher surface tension liquid. (C)</p> Signup and view all the answers

What distinguishes plastic deformation from elastic deformation?

<p>Plastic deformation results in a permanent change in shape, while elastic deformation is temporary. (D)</p> Signup and view all the answers

Which point on a stress-strain curve indicates that the material will no longer obey Hooke's Law?

<p>Proportional Limit (B)</p> Signup and view all the answers

If a material is stretched beyond its elastic limit, what behavior will it exhibit?

<p>It will experience plastic deformation and have a permanent change in shape. (B)</p> Signup and view all the answers

What is the SI unit for Tensile Stress?

<p>Pascal (Pa) (B)</p> Signup and view all the answers

What is represented by the ratio of extension to original length of a material?

<p>Tensile Strain (A)</p> Signup and view all the answers

Which of the following is the Young's Modulus a ratio of?

<p>Tensile stress to tensile strain (B)</p> Signup and view all the answers

Which point indicates a material is permanently stretched with a permanent increase in length, after the stretching force is removed?

<p>Yield Point (B)</p> Signup and view all the answers

If you apply a force of $100 N$ to a wire with a cross-sectional area of $0.01 m^2$, what is the tensile stress on the wire?

<p>$10,000 Pa$ (B)</p> Signup and view all the answers

What is the primary nature of intermolecular forces?

<p>Electric (D)</p> Signup and view all the answers

How does the distribution of charges affect intermolecular force when molecules are at a relatively large distance?

<p>Like charges are, on average, farther apart than opposite charges, resulting in attraction. (D)</p> Signup and view all the answers

What is the relationship between cohesive forces and the state of matter?

<p>Cohesive forces are strongest in solids, weak in liquids, and extremely weak in gases. (A)</p> Signup and view all the answers

What characterizes shear forces?

<p>Causing a body to be twisted and deformed (B)</p> Signup and view all the answers

A washing line extends 42 mm under a load of 72 N. If the Young's modulus remains constant, and the breaking load is 240 N, what expression calculates the extension at the breaking point?

<p>$(42 \text{ mm} \times 240 \text{ N}) / 72 \text{ N}$ (B)</p> Signup and view all the answers

A wire made from a metal has a diameter of 0.15 mm and a length of 2.5 m. Under a stress of 200 MPa, which calculation determines the wire's extension, given Young's modulus?

<p>All of the above (D)</p> Signup and view all the answers

How does adhesive force differ from cohesive force?

<p>Cohesive force acts between molecules of the same substance, while adhesive force acts between different substances. (C)</p> Signup and view all the answers

If two materials, X and Y, are stretched until they break, and material X has a greater Young's modulus than material Y, what does this indicate?

<p>Material X requires more stress to achieve the same strain as material Y. (D)</p> Signup and view all the answers

Which of the following materials is most likely to be classified as brittle?

<p>Concrete (B)</p> Signup and view all the answers

What is the defining characteristic of an elastic material?

<p>It returns to its original shape when stress is removed. (B)</p> Signup and view all the answers

A material extends by 0.05m when a force of 10N is applied. Assuming it obeys Hooke's law, what is the spring constant $k$?

<p>$200 N/m$ (B)</p> Signup and view all the answers

What happens to an elastic material when it is subjected to a force beyond its elastic limit?

<p>It undergoes permanent deformation. (C)</p> Signup and view all the answers

Which of these factors influence the extension of an elastic material when a force is applied?

<p>The nature of the material and the magnitude of the force. (A)</p> Signup and view all the answers

What is the significance of point 'M' on a stress-strain curve?

<p>The point of maximum stress the material can withstand. (B)</p> Signup and view all the answers

Which of the following materials is most likely to be classified as plastic?

<p>modelling clay (C)</p> Signup and view all the answers

What is the relationship between extension and applied force in a material that obeys Hooke's Law?

<p>Extension is directly proportional to the applied force. (C)</p> Signup and view all the answers

Flashcards

Stiffness

The ability of a material to resist a force that tries to change its shape or size. Stiff materials are rigid and require a large force to bend.

Strength

The ability of a material to withstand a force before it breaks. Strong materials can handle a large force before failing.

Ductility

The ability of a material to be molded into different shapes without breaking. Ductile materials are flexible and can bend significantly before failing.

Brittleness

The ability of a material to break suddenly without bending when a force is applied. Brittle materials are not flexible and cannot be molded.

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Cross-sectional Area and Strength

A larger cross-sectional area allows a material to withstand a greater force before breaking.

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Force and Strength

The magnitude of the applied force affects how much a material can withstand. A larger force is more likely to cause failure.

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Material Properties and Strength

Different materials have different strengths. Some materials are naturally more resistant to breaking than others.

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Increasing Stiffness

Reducing the length or lowering the temperature of a material can increase its stiffness.

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Elasticity

A material's ability to return to its original shape and size after a stretching force is removed.

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Elastic materials

Materials that can regain their original shape and size after a stretching force is removed, like rubber bands and springs.

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Plasticity

A material's inability to return to its original shape and size after a stretching force is removed.

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Plastic materials

Materials that cannot regain their original shape and size after a stretching force is removed, like plasticine and clay.

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Elastic limit

The point where a material begins to permanently deform, even after the stretching force is removed.

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Hooke's law

The relationship between the force applied to a material and the amount it stretches, within the elastic limit.

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Region of elastic deformation

The region where Hooke's law is obeyed; the material can recover its original shape after the force is removed.

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Maximum stress (load)

The maximum force a material can withstand before breaking or permanently deforming.

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Yield point

The point at which a material will permanently deform after a stretching force is removed.

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Tensile Stress

The ratio of the force applied to the cross-sectional area of a material.

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Tensile Strain

The change in the length of a material divided by its original length.

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Proportional Limit

This is a point on a stress-strain graph beyond which Hooke's Law is no longer obeyed.

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Elastic Deformation

The ability of a material to return to its original shape and size after a stretching force is removed.

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Plastic Deformation

The permanent change in shape or size of a material after the stretching force is removed.

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Young's Modulus

The ratio of tensile stress to tensile strain of a material.

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Cohesive force

The force of attraction between molecules of the same substance. It is strongest in solids, weaker in liquids, and extremely weak in gases.

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Adhesive force

The force of attraction between molecules of different substances. It allows substances to stick to each other.

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Intermolecular force

The force between two molecules of any substance. It arises from the distribution of charges within molecules.

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Surface tension

The force that makes a liquid's surface behave like a stretched elastic membrane, reducing its surface area.

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Surface tension formula

The force per unit length acting perpendicular on a line drawn on a liquid's surface, pulling it apart.

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Impurities and surface tension

Impurities can either increase or decrease surface tension, depending on their interaction with the liquid molecules.

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Temperature and surface tension

The surface tension of liquids decreases as temperature increases, becoming zero at the critical temperature.

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Capillary tube

A narrow tube with a uniform, small radius.

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Rise of liquids in capillary tubes

The rise of a liquid in a capillary tube is due to the interplay of cohesive and adhesive forces, resulting in a concave meniscus.

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Work Done in Blowing a Soap Bubble

The work done in blowing a soap bubble is directly proportional to the surface tension of the soap solution and the surface area of the bubble.

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Laminar Flow

A type of fluid flow where fluid particles move in parallel layers, without mixing, similar to a smooth, continuous stream.

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Turbulent Flow

A fluid flow characterized by changes in pressure and speed, creating irregular and chaotic movement.

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Fluid Dynamics

A branch of fluid mechanics that studies the flow of fluids in motion.

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Study Notes

Mechanical Properties of Matter

  • Mechanical properties describe how matter behaves when external forces act upon it.
  • Key mechanical properties include strength, stiffness, ductility, brittleness, elasticity, plasticity, tensile stress, tensile strain, Young's Modulus, and shear force.

Strength

  • Strength is a material's ability to withstand a force before breaking.
  • Materials with high strength can withstand large forces.
  • Factors affecting strength include force magnitude, cross-sectional area, and material nature.

Stiffness

  • Stiffness measures a material's resistance to shape changes.
  • Stiff materials are not flexible and require significant force to bend.
  • Reducing material length or temperature increases stiffness.

Ductility

  • Ductility is a material's ability to bend or change shape without breaking.
  • Ductile materials are flexible and can bend considerably before fracturing.

Brittleness

  • Brittleness describes a material's tendency to break suddenly without bending.
  • Brittle materials are inflexible and cannot be molded easily.

Elasticity

  • Elasticity refers to a material's ability to regain its original shape after a stretching force is removed.
  • Elastic materials return to their original form when the stress is removed.
  • Elasticity depends on the material's nature and the magnitude of the stretching force.

Plasticity

  • Plasticity is a material's inability to regain its original shape after a stretching force is removed.
  • Plastic materials undergo permanent deformation.

Tensile Stress

  • Tensile stress is the force per unit area applied to stretch a material.
  • Stress is calculated by dividing force by the cross-sectional area.

Tensile Strain

  • Tensile strain is the ratio of extension to the original length of a material.
  • The change in length is divided by the original length.

Young's Modulus

  • Young's modulus is the ratio of tensile stress to tensile strain.
  • It measures how stiff a material is.

Shear Force

  • Shear force is the force needed to fracture material parallel to the applied force.
  • It causes twisting or deformation in a body.

Surface Tension

  • Surface tension is a liquid's property, where the surface behaves like a stretched membrane.
  • This allows small objects, like insects, to sit on the water's surface.
  • Surface tension reduces when temperature or impurities increase.

Fluid Dynamics

  • Fluid dynamics is a subfield of fluid mechanics, focussing on fluid motion.
  • Laminar flow: Parallel layers with smooth, continuous flow.
  • Turbulent flow: Unpredictable, uneven flow with changes in pressure, and speed.

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