3
L3–PHYSR
993603
Level 3 Physics, 2013
2.00 pm Monday 25 November 2013
RESOURCE BOOKLET
for 91523, 91524 and 91526
Refer to this booklet to answer the questions in your Question and Answer Booklets.
Check that this booklet has pages 2 – 3 in the correct order and that none of these pages is blank.
You may keep this Booklet at the end of the examination.
© New Zealand Qualifications Authority, 2013. All rights reserved.
No part of this publication may be reproduced by any means without the prior permission of the New Zealand Qualifications Authority.
2
You may find the following data and formulae useful.
91523 Demonstrate understanding of wave systems
v
dx
W
d sin θ = nλ
nλ =
f '= f
L
vW ± vS
v= fλ
1
T
f =
91524 Demonstrate understanding of mechanical systems
F = ma
W = Fd
p = mv
EK(LIN) =
1 2
mv
2
d = rθ
v = rω
Δω
Δt
ω = 2πf
α=
ω f = ω i + αt
τ = Iα
Fg =
GMm
r2
F = −ky
θ=
ωf + ωi
t
2
τ = Fr
Fc =
mv 2
r
Ep =
1 2
ky
2
Δp = FΔt
xCOM =
ΔEp = mgΔh
m1 x1 + m2 x2
m1 + m2
a = rα
f =
ω=
1
T
Δθ
Δt
EK(ROT) =
1 2
Iω
2
ω f 2 = ω i 2 + 2αθ
1
θ = ω it + α t 2
2
L = mvr
L = Iω
T = 2π
l
g
y = Asin ω t
v = Aω cos ω t
a = − Aω 2 sin ω t
y = Acos ω t
v = − Aω sin ω t
a = − Aω 2 cos ω t
T = 2π
m
k
a = −ω 2 y
3
91526 Demonstrate understanding of electrical systems
ΔE = Vq
1
E = QV
2
Q = CV
CT = C1 + C2 + C3 + ...
1
1
1
1
= +
+ + ...
CT C1 C2 C3
τ = RC
1
1 1
= + + ...
RT R1 R2
V = IR
P = VI
V = Ed
C=
ε oε r A
d
RT = R1 + R2 + ...
φ = BA
Np
Ns
=
Vp
Vs
ΔI
Δt
ε=−
Δφ
Δt
1 2
LI
2
τ=
L
R
ε = −L
E=
V = VMAX sin ω t
I MAX = 2 I rms
VMAX = 2Vrms
XL = ω L
V = IZ
ω = 2π f
Useful data
Speed of light
= 3.00 × 108 m s −1
Charge on the electron
= −1.60 × 10−19 C
Acceleration due to gravity on Earth
= 9.81 m s −2
Permittivity of free space
= 8.85 × 10−12 F m −1
Universal gravitational constant
= 6.67 × 10 −11 N m 2 kg −2
f0 =
1
2π LC
I = I MAX sin ω t
XC =
f =
1
ωC
1
T
L3-PHYSR