YEAR 11 GCSE FORMULAE 2018
a Students should be able to RECALL and apply the following equations

Spec. Reference 

Equation 
2.6b

distance travelled = average speed × time


2.8

Acceleration (m/s^{2}) = change in velocity ÷ time taken
a = (v − u) / t ^{} 

2.15

Force (N) = mass × acceleration
F
= ma 

2.16

Weight (N) = mass × gravitational field strength
W
= mg


2.24

Momentum (kg m/s) = mass × velocity
p
= mv 

3.1 and 8.8

change in gravitational potential energy = mass × gravitational field
strength × change in vertical height
∆GPE = m g ∆h 

3.2 and 8.9

Kinetic energy (J) = ½ ×mass×(speed)^{2}
KE
= ½ m v^{2}


3.11 and 8.15

Efficiency (no unit) = (useful
energy output)
/ (total
energy input) 

4.6

wave speed = frequency × wavelength
v
= f λ


wave speed = distance ÷ time
v =
x / t 

8.6

work done (J) = force × distance moved in direction of force
E
= Fd 

8.13

Power (W) = work done ÷ time taken
P
= E / t 

9.7P

moment of a force (Nm) = force × distance normal to the direction of the
force


10.6

energy transferred = charge moved × potential difference
E
= QV 

10.9

Charge (C) = current × time
Q
= It 

10.13

potential difference (V) = current × resistance
V
= IR 

10.29

Power (W) = energy transferred ÷ time taken
P
= E / t 

10.31

electrical power (W) = current × potential difference
P
= I V 

electrical power (W) = current squared × resistance
P
= I ^{
2}R


14.2

Density (kg/m^{3}) =
mass ÷ volume
ρ =
m / V 

15.3

force exerted on a spring (N) = spring constant × extension
F
= kx 

15.11P

pressure (N/m^{2}) = force normal to surface ÷ area of surface
P
= F / A 
Students should be able to SELECT and apply the following equations
2.9

(final velocity)^{2}
– (initial velocity)^{2
}
= 2 × acceleration × distance
v^{2}
− u^{2}
=
2ax

2.26

force = change in momentum ÷ time
F
= (mv
 mu)
/ t 
10.27

energy transferred (J) = current × potential difference × time
E
= I V t 
12.13

force on a conductor at right angles to a magnetic field
= magnetic flux density ×
current × length
F
= BIl 
13.7P

voltage across primary coil /
number of turns in primary coil = voltage across secondary coil / number
of turns in secondary
Vp /
Np
=
Vs
/
Ns

13.10

For transformers with 100% efficiency, potential difference across
primary coil × current in primary coil = potential difference across
secondary coil × current in secondary coil
V_{P}I_{P} =
V_{S}I_{S} 
14.8

change in thermal energy (J) = mass × specific heat capacity × change in
temperature
∆Q = mc∆θ 
14.9

thermal energy for change of state = mass × specific latent heat
Q
= mL 
14.19P

p_{1}V_{1} = p_{2}V_{2}_{}
to calculate pressure or volume for gases of fixed mass at constant
temperature

15.4

Elastic energy stored = ½ ×
spring constant × (extension)^{2}
E
= ½
k
x
^{2}

15.14P

pressure due to a column of liquid (N/m^{2}) = height of column
× density of liquid × gravitational field strength
p=
h ρ g 