Elasticity Flashcards

1
Q

What is potential energy defined as?

A

The energy possessed by a body by virtue of its state or position.

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2
Q

Do stretched or compressed springs possess potential energy?

A

Yes.

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3
Q

Why do stretched or compressed springs possess potential energy?

A

Because they are potentially able to do work.

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4
Q

What is the ability of the stretched or compressed elastic material to do work called?

A

Elastic potential energy.

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5
Q

What is elastic potential energy?

A

Energy stored in the material as a result of its stretched or compressed state.

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6
Q

Give the formula for elastic potential energy.

A

W = 1/2 * F * e = 1/2 * k * e².

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7
Q

What happens when you stretch the rubber of a catapult and project a stone?

A

The elastic potential energy is transformed into the kinetic energy of the flying stone.

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8
Q

What law governs the energy transformation in a catapult?

A

The law of conservation of energy.

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9
Q

What is an example of stored energy due to compression?

A

Wound springs in clocks and toys.

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10
Q

Why are many clocks and toys able to work?

A

Stored energy in wound springs.

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11
Q

A spring is stretched 40 mm by a force of 15 N. What is the work done by the force?

A

0.3J.

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12
Q

What is considered in discussing work done in springs and elastic strings?

A

A spring or rubber whose unstretched length is l.

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13
Q

What causes a displacement or extension of the spring by e?

A

A maximum force F.

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14
Q

Where has the force in the wire increased from and to?

A

From zero at P in the unstretched position to F at P’.

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15
Q

What is done by F in stretching the spring through the displacement or extension?

A

Work.

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16
Q

How is the work (W) done given?

A

By the product of the average force and the displacement or extension.

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17
Q

Give the formula for average force.

A

Average force = (initial force + final force) / 2.

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18
Q

Give the formula for work done.

A

W = 1/2 * F * e.

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19
Q

If F = ke what is another formula for work done?

A

W = 1/2 * k * e².

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20
Q

What happens to the work done in stretching an elastic material?

A

It is stored as potential energy in the material.

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21
Q

When can the stored potential energy do work?

A

When the stretching force is removed and the material regains its normal length.

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22
Q

Is work done when an elastic string is compressed through a distance e by a force F?

A

Yes.

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23
Q

Give the formula for work done in compressing the material.

A

W = 1/2 * F * e = 1/2 * k * e².

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24
Q

If a wire of length / is extended through e by a force F what is tensile stress?

A

F/A.

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25
What is the unit of tensile stress?
Nm⁻².
26
Give the formula for tensile stress.
Stress = F/A.
27
Define tensile strain.
The ratio of the extension to original length (e/l).
28
Does tensile strain have a unit?
No.
29
What is strain a measure of?
Deformation.
30
What does stress describe?
The distorting force.
31
How can Hooke's law be written in terms of stress and strain?
Stress is proportional to strain provided the elastic limit is not exceeded.
32
What is the constant of proportionality in the stress-strain relationship?
Young's modulus of elasticity (Y).
33
Give the formula for Young's Modulus.
Y = (F/A) / (e/l).
34
What is tensile stress?
The ratio of the force to the area.
35
What is the unit of stress?
Nm⁻².
36
Give the formula for stress.
Stress = F/A.
37
Define tensile strain.
The ratio of the extension to original length.
38
Does strain have a unit?
No.
39
Why does strain have no unit?
Because extension and original length are the same unit.
40
What is strain a measure of?
Deformation.
41
What does stress describe?
The distorting force.
42
According to Hooke's law what is the relationship between force (F) and extension (e)?
Directly proportional.
43
Give the mathematical formula for Hooke's law.
F = ke.
44
Define the terms in the formula F = ke.
F = force k = constant of proportionality e = extension.
45
What is the constant of proportionality (k) called?
Elastic constant or force constant or stiffness of the material.
46
What is the unit of the elastic constant (k)?
Nm⁻¹.
47
Define elastic constant or stiffness.
The force required to give unit extension.
48
On what is the working of the spring balance based?
Hooke's law.
49
In a spring balance what is proportional to the extension of the spring?
The weight of the body.
50
What happens to the wire beyond the elastic limit?
It stretches rapidly with increasing load and enters the plastic region.
51
Does the wire return to its original length in the plastic region?
No.
52
What is the significance of the point 'Y' on the graph?
It is the yield point.
53
What has the material done at the yield point?
It has yielded or lost all elasticity permanently and become plastic.
54
What is the yield point?
The point beyond the elastic limit in which the elastic material has yielded all its elasticity permanently and has become plastic.
55
What is observed at the change from the elastic to the plastic region?
A sudden and rapid increase in the extension for any slight increase in load.
56
What is the breaking point B?
The point where the material may finally snap or break entirely.
57
What is observed in the experiment when a spring is stretched and the load is increased gradually?
The spring extends.
58
What happens if the load is increased until the spring no longer returns to its original length?
The spring is permanently stretched.
59
What kind of graph is obtained if the total maximum load does not extend the spring permanently?
A straight line graph passing through the origin.
60
What does the straight line graph indicate?
The extension of the spring is directly proportional to the load.
61
What is the significance of the point P on the graph of extension against load?
It is the proportionality limit.
62
What happens to the object up to the point E on the graph?
It will return to its original length if the applied force is removed.
63
What is the point E on the graph called?
The elastic limit.
64
Define elastic limit.
The limit of force beyond which the stretched wire does not return to its original length when the stretching force is removed.
65
What does it mean when a material is stretched beyond the elastic limit?
It loses its elasticity.
66
What is the region OE on the graph called?
The elastic region.
67
Up to which point does Hooke's law strictly hold?
The proportionality limit.
68
Up to which point does elasticity hold?
The elastic limit.
69
What happens to the length of an elastic spring or string when a force is applied?
The length increases.
70
What happens to the length when the force is removed?
It returns to its former value.
71
What happens to the extension of the spring when the stretching force is doubled?
The extension doubles.
72
What does Hooke's law state?
Provided the elastic limit is not exceeded the extension of the material is directly proportional to the load or applied force.
73
What is the relationship between extension and load according to Hooke's law?
Directly proportional.
74
What is the effect of intermolecular forces on solids when an external force is applied?
They resist the displacement of molecules.
75
Is it easier to displace molecules in solids or liquids and gases?
Liquids and gases.