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/s2) = 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 gh

3.2 and 8.9

Kinetic energy (J) = ½ ×mass×(speed)2    

KE =  ½ m v2  

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 2R

14.2

Density (kg/m3)  = mass ÷ volume

ρ  =  m / V 

15.3

 

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

F = kx

15.11P

pressure (N/m2) = 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

v2 u2  = 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

VPIP  = VSIS 

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

p1V1  = p2V2

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/m2) = height of column × density of liquid × gravitational field strength

p= h ρ g