Formula Recall & Rearrange Drills
Paper 2 is "shove the numbers into the formula booklet" — but only if you can rearrange the equation first. Work through these seven OCR A formulae from Module 2-4, the foundations Y12 builds on straight from Y11.
First SUVAT Equation
\[v = u + at\]
Variables
v
Final velocityu
Initial velocitya
Accelerationt
TimePractice
Rearrange $v = u + at$ to make $a$ the subject.
A skateboarder starts from rest and speeds up to $8.0\ \text{m s}^{-1}$ in $4.0\ \text{s}$. Use $v=u+at$ to find the acceleration $a$.
Second SUVAT Equation
\[s = ut + \tfrac{1}{2}at^2\]
Variables
s
Displacementu
Initial velocitya
Accelerationt
TimePractice
A ball is released from rest, so $u=0$. Simplify $s=ut+\tfrac{1}{2}at^2$ for this case.
A marble is dropped from rest and falls for $1.5\ \text{s}$. Taking $g=9.81\ \text{m s}^{-2}$, find the distance fallen $s$.
Newton's Second Law
\[F = ma\]
Variables
F
Resultant forcem
Massa
AccelerationPractice
Rearrange $F=ma$ to make $a$ the subject.
A resultant force of $20\ \text{N}$ acts on a trolley of mass $4.0\ \text{kg}$. Find its acceleration $a$.
Momentum
\[p = mv\]
Variables
p
Momentumm
Massv
VelocityPractice
Rearrange $p=mv$ to make $v$ the subject.
A $0.50\ \text{kg}$ ball moves at $6.0\ \text{m s}^{-1}$. Find its momentum $p$.
Density
\[\rho = \dfrac{m}{V}\]
Variables
ρ
Densitym
MassV
VolumePractice
Rearrange $\rho=\dfrac{m}{V}$ to make $V$ the subject.
A metal block has a mass of $0.27\ \text{kg}$ and a volume of $1.0\times10^{-4}\ \text{m}^3$. Find its density $\rho$.
Pressure
\[p = \dfrac{F}{A}\]
Variables
p
PressureF
ForceA
AreaPractice
Rearrange $p=\dfrac{F}{A}$ to make $F$ the subject.
A force of $450\ \text{N}$ is applied over an area of $0.30\ \text{m}^2$. Find the pressure $p$.
Hooke's Law
\[F = kx\]
Variables
F
Forcek
Spring constantx
ExtensionPractice
Rearrange $F=kx$ to make $x$ the subject.
A spring has a spring constant of $50\ \text{N m}^{-1}$ and is stretched by $0.12\ \text{m}$. Find the force $F$ needed.