Topic 4: Materials
0.4 Specification notice:
In order to develop their practical skills, students should be encouraged
to carry out a range of practical experiments related to this topic.
Mathematical skills that could be developed in this topic include
determining the slope of a linear graph and calculating or estimating, by
graphical methods as appropriate, the area between a curve and the x-
axis and realising the physical significance of the area that has been
determined.
This topic may be studied using applications that relate to materials, for
example, spare-part surgery.
4.Q Exam questions
Which row of the table shows the axes of a ● B is correct
graph for which the gradient is stiffness k?
4.49 be able to use the equation density ⍴=m/v
Define density? And what are its unit? While ● The mass per unit volume
you're at it, write the equation for density? ● g/cm3 or kg/m3
● ⍴ = m/v
, Identify the factors that affect the density ● Density is affected by the mass of each particle
of liquids and gases? and the spacing between the particles
● Therefore gases are lower density than liquids as
they have much larger inter-molecular spacing
How would you convert from mm3 to m3 Divide by 1x10-9
How would you convert from g/cm3 to Kg/m3 g/cm3 x 1000 = kg/m3
Volume of a sphere equation V=4/3𝞹r3
Volume of a cylinder equation V=𝞹r2h
Area of circle equation A=𝞹r2
4.50 understand how to use the relationship upthrust =
weight of fluid displaced
Define upthrust? The upward force caused when a fluid is displaced
Define Archimedes Principle? The upthrust is equal to the weight of the fluid
displaced
State the condition that is required for an Upthrust = weight
object to float in a liquid?
What is the upthrust equation either ● (U=mg) Upthrust = mass of fluid displaced times
variation? gravitational field strength
● (U=pfVg) Upthrust = density of fluid x volume of fluid
x gravitational field strength
Think of pfVg looking like an owl and so you can refer to it
as the owl equation
0.4 Specification notice:
In order to develop their practical skills, students should be encouraged
to carry out a range of practical experiments related to this topic.
Mathematical skills that could be developed in this topic include
determining the slope of a linear graph and calculating or estimating, by
graphical methods as appropriate, the area between a curve and the x-
axis and realising the physical significance of the area that has been
determined.
This topic may be studied using applications that relate to materials, for
example, spare-part surgery.
4.Q Exam questions
Which row of the table shows the axes of a ● B is correct
graph for which the gradient is stiffness k?
4.49 be able to use the equation density ⍴=m/v
Define density? And what are its unit? While ● The mass per unit volume
you're at it, write the equation for density? ● g/cm3 or kg/m3
● ⍴ = m/v
, Identify the factors that affect the density ● Density is affected by the mass of each particle
of liquids and gases? and the spacing between the particles
● Therefore gases are lower density than liquids as
they have much larger inter-molecular spacing
How would you convert from mm3 to m3 Divide by 1x10-9
How would you convert from g/cm3 to Kg/m3 g/cm3 x 1000 = kg/m3
Volume of a sphere equation V=4/3𝞹r3
Volume of a cylinder equation V=𝞹r2h
Area of circle equation A=𝞹r2
4.50 understand how to use the relationship upthrust =
weight of fluid displaced
Define upthrust? The upward force caused when a fluid is displaced
Define Archimedes Principle? The upthrust is equal to the weight of the fluid
displaced
State the condition that is required for an Upthrust = weight
object to float in a liquid?
What is the upthrust equation either ● (U=mg) Upthrust = mass of fluid displaced times
variation? gravitational field strength
● (U=pfVg) Upthrust = density of fluid x volume of fluid
x gravitational field strength
Think of pfVg looking like an owl and so you can refer to it
as the owl equation
