Formula sheet Knowledge1

Question 1

What is Newton’s Second Law?

Answer 1

F = ma
F = force (N),
m = mass (kg),
a = acceleration (m/s^2)

Question 2

What is the formula for weight?

Answer 2

W = mg
W = weight (N),
m = mass (kg),
g = gravitational acceleration (9.8 m/s^2)

Question 3

What is the equation of motion relating velocity, acceleration and time?

Answer 3

v = u + at
v = final velocity (m/s),
u = initial velocity (m/s),
a = acceleration (m/s^2),
t = time (s)

only use in the vertical sence in projectile

Question 4

What is the equation of motion relating displacement, initial velocity, time and acceleration?

Answer 4

s = ut + 0.5at^2
s = displacement (m),
u = initial velocity (m/s),
t = time (s),
a = acceleration (m/s^2)

vertical sense for projectile

Question 5

What is the equation of motion relating velocity squared, initial velocity, acceleration and displacement?

Answer 5

v^2 = u^2 + 2as
v = final velocity (m/s),
u = initial velocity (m/s),
a = acceleration (m/s^2),
s = displacement (m)

verticle sense projectile

Question 6

What is the formula for work done by a constant force?

Answer 6

W = Fs cosθ
W = work (J),
F = force (N),
s = displacement (m),
θ = angle between force and displacement

Cos because needs force needs to be parrel to distance

Question 7

What is the formula for kinetic energy?

Answer 7

KE = 0.5mv^2
KE = kinetic energy (J),
m = mass (kg),
v = velocity (m/s)

Question 8

What is the formula for potential energy near Earth’s surface?

Answer 8

PE = mgh
PE = potential energy (J),
m = mass (kg),
g = gravitational acceleration (m/s^2),
h = height (m)

Question 9

What is the formula for power?

Answer 9

P = W/t or P = Fv cosθ
P = power (W),
W = work (J),
t = time (s),
F = force (N),
v = velocity (m/s),
θ = angle between F and v

Question 10

What is the formula for centripetal acceleration?

Answer 10

a_c = v^2/r
ac = centripetal acceleration (m/s^2),
v = velocity (m/s),
r = radius (m)

Question 11

What is the formula for centripetal force?

Answer 11

F_c = mv^2/r
Fc = centripetal force (N),
m = mass (kg),
v = velocity (m/s),
r = radius (m)

Question 12

What is Newton’s Law of Gravitation?

Answer 12

F = GMm/r^2
F = gravitational force (N),
G = gravitational constant,
M and m = masses (kg),
r = distance between masses (m)

Question 13

What is the formula for gravitational potential energy?

Answer 13

U = -GMm/r
U = gravitational potential energy (J),
G = gravitational constant,
M and m = masses (kg),
r = separation (m)

Question 14

What is the formula for gravitational field strength?

Answer 14

g = GM/r^2
g = gravitational field strength (N/kg),
G = gravitational constant,
M = mass of body (kg),
r = distance from centre (m)

Question 15

What is the formula for orbital velocity?

Answer 15

v = √(GM/r)
v = orbital velocity (m/s),
G = gravitational constant,
M = central mass (kg),
r = orbital radius (m)

Question 16

What is the formula for orbital period?

Answer 16

T = 2πr/v or T^2/r^3 = (4π^2/GM)
T = orbital period (s),
r = orbital radius (m),
v = orbital velocity (m/s),
M = central mass (kg)

Question 17

What is the formula for momentum?

Answer 17

p = mv
p = momentum (kg·m/s),
m = mass (kg),
v = velocity (m/s)

Question 18

What is the formula for torque?

Answer 18

τ = rF sinθ
τ = torque (N·m),
r = lever arm distance (m),
F = force (N),
θ = angle between r and F

Question 19

What is angular momentum?

Answer 19

L = Iω
L = angular momentum (kg·m^2/s), I = moment of inertia (kg·m^2), ω = angular velocity (rad/s)

Question 20

What is the wave equation?

Answer 20

v = fλ
v = wave speed (m/s), f = frequency (Hz), λ = wavelength (m)

Question 21

What is the relationship between velocity, frequency, and period?

Answer 21

f = 1/T
f = frequency (Hz), T = period (s)