Y11 → Y12 Bridge / Formula Drills

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.

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First SUVAT Equation

$$v = u + at$$
Variables v Final velocity u Initial velocity a Acceleration t Time

Practice

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 Displacement u Initial velocity a Acceleration t Time

Practice

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 force m Mass a Acceleration

Practice

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 Momentum m Mass v Velocity

Practice

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 Density m Mass V Volume

Practice

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 Pressure F Force A Area

Practice

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 Force k Spring constant x Extension

Practice

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.

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