Equations

Question 1

what is the relationship between average speed, distance moved and time taken?

Answer 1

average speed = distance moved/time taken

Question 2

what is the relationship between acceleration, change in velocity and time taken?

Answer 2

acceleration = change in velocity/time taken

a = (v-u)/t

Question 3

what is the relationship between final speed, initial speed, acceleration and distance moved?

Answer 3

(final speed)2 = (initial speed)2 + (2 × acceleration × distance moved)

v2 = u2 + (2 × a × s)

Question 4

what is the relationship between unbalanced force, mass and acceleration?

Answer 4

force = mass × acceleration

F = m × a

Question 5

what is the relationship between weight, mass and gravitational field strength?

Answer 5

weight = mass × gravitational field strength

W = m × g

Question 6

what is the relationship between momentum, mass and velocity?

Answer 6

momentum = mass × velocity

p = m × v

Question 7

what is the relationship between force, change in momentum and time taken?

Answer 7

force = change in momentum/time taken

F = (mv-mu)/t

Question 8

what is the relationship between the moment of a force and its perpendicular distance from the pivot?

Answer 8

moment = force × perpendicular distance from the pivot

Question 9

what is the relationship between power, current and voltage?

Answer 9

power = current × voltage

P = I × V

Question 10

what is the relationship between energy transferred, current, voltage and time?

Answer 10

energy transferred = current × voltage × time

E = I × V x t

Question 11

what is the relationship between voltage, current and resistance?

Answer 11

voltage = current × resistance

V = I × R

Question 12

what is the relationship between charge, current and time?

Answer 12

charge = current × time

Q = I × t

Question 13

what is the relationship between energy transferred, charge and voltage?

Answer 13

energy transferred = charge × voltage

E = Q × V

Question 14

what is the relationship between the speed, frequency and wavelength of a wave?

Answer 14

wave speed = frequency × wavelength

v = f × λ

Question 15

what is the relationship between frequency and time period?

Answer 15

frequency = 1/time period

f = 1/T

Question 16

what is the relationship between refractive index, angle of incidence and angle of refraction?

Answer 16

n = sin i/sin r

Question 17

what is the relationship between critical angle and refractive index?

Answer 17

sin c = 1/n

Question 18

what is the relationship between efficiency, useful energy output and total energy output?

Answer 18

efficiency = useful energy output/total energy output x 100%

Question 19

what is the relationship between work done, force and distance moved in the direction of the force?

Answer 19

work done = force × distance moved

W = F × d

Question 20

what is the relationship between gravitational potential energy, mass, gravitational field strength and height?

Answer 20

gravitational potential energy = mass × gravitational field strength × height

GPE = m × g × h

Question 21

what is the relationship between kinetic energy, mass and speed?

Answer 21

kinetic energy = 1/2 x mass x speed2

KE = 1/2 x m x v2

Question 22

what is the relationship between power, work done (energy transferred) and time taken?

Answer 22

power = work done/time taken

P = W/t

Question 23

what is the relationship between density, mass and volume?

Answer 23

density = mass/volume

p = m/V

Question 24

what is the relationship between pressure, force and area?

Answer 24

pressure = force/area

p = F/A

Question 25

what is the relationship for pressure difference?

Answer 25

pressure difference = height × density × gravitational field strength p = h × ρ × g

Question 26

what is the equation for the change in thermal energy?

Answer 26

change in thermal energy = mass × specific heat capacity × change in temperature ΔQ = m × c × ΔT

Question 27

what is the pressure and Kelvin temperature of a fixed mass of gas at constant volume?

Answer 27

P1/T1 = P2/T2

Question 28

what is the relationship between the pressure and volume of a fixed mass of gas at constant temperature?

Answer 28

P1V1 = P2V2

Question 29

what is the relationship between input (primary) and output (secondary) voltages and the turns ratio for a transformer?

Answer 29

input (primary) voltage/output (secondary) voltage = primary turns/secondary turns

Question 30

what is the relationship between input power and output power?

Answer 30

input power = output power VpIp = VsIs for 100% efficiency

Question 31

what is the relationship between orbital speed, orbital radius and time period?

Answer 31

orbital speed = 2 x π x orbital radius/time period v = 2 × π x r/T

Question 32

what is the equation relating to change in wavelength, reference wavelength, velocity of a galaxy and the speed of light?

Answer 32

change in wavelength/reference wavelength = velocity of a galaxy/speed of light λ - λ0/λ0 = Δλ/λ0 = v/c