(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)
(i) Determine the amplitude, in cm, of the oscillations.
amplitude = ....................................................cm [1]
(ii) Show that the angular frequency of the oscillations is 3.2 rad s–1.
[2]
(iii) Calculate the period T of the oscillations.
T = .......................................................s [2]
(iv) On Fig. 4.3, sketch the variation of h with time t from t = 0 to t = 6.0 s.
Question
Physics
CAIE2024
Fig. 5.1 shows a pendulum consisting of a metal sphere suspended by a thin string.
thin string
metal sphere
oscillations
Fig. 5.1 (not to scale)
The sphere undergoes small oscillations about its equilibrium position. The oscillations may be
considered to be simple harmonic.
Fig. 5.2 shows the variation with time t of the displacement x of the sphere from its
equilibrium position.
Question
Physics
CAIE2024
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)
(b) The mass of the sphere is 0.15 kg.
(i) State the amplitude of the oscillations.
amplitude = ...................................................... m [1]
(ii) Determine the angular frequency of the oscillations.
angular frequency = .............................................. rad s–1 [2]
(iii) Calculate the total energy of the oscillations.
total energy = ....................................................... J [2]
(c) On Fig. 5.3, sketch the variation with x of the kinetic energy E of the sphere.
K
Question
Physics
CAIE2024
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)
(i) Determine the amplitude, in cm, of the oscillations.
amplitude = ....................................................cm [1]
(ii) Show that the angular frequency of the oscillations is 3.2 rad s–1.
[2]
(iii) Calculate the period T of the oscillations.
T = .......................................................s [2]
(iv) On Fig. 4.3, sketch the variation of h with time t from t = 0 to t = 6.0 s.
Question
Physics
Edexcel2024
Gravitational field strength
Gm
Ideal gas equation
g =
r 2
pV = NkT
Gravitational potential
Stefan-Boltzmann law
−Gm
L = σAT 4 V =
grav r
L = 4πr2σT 4
Oscillations
Wien’s law
Simple harmonic motion
λ T = 2.898 × 10−3 m K
max
F = −k x
Space a = −ω2x
Intensity x = A cos ωt
L
v = −Aω sin ωt
I =
4πd 2
a = ‒Aω2 cos ωt
Redshift of electromagnetic radiation
Question
Physics
Edexcel2023
Gravitational field strength
Gm
Ideal gas equation
g =
r 2
pV = NkT
Gravitational potential
Stefan‑Boltzmann law
−Gm
L = σAT 4 V =
grav r
L = 4πr2σT 4
Oscillations
Wien’s law
Simple harmonic motion
λ T = 2.898 × 10−3 m K
max
F = −k x
Space a = −ω2x
Intensity x = A cos ωt
L
v = −Aω sin ωt
I =
4πd 2
a = ‒Aω2 cos ωt
Redshift of electromagnetic radiation 1 2π
T = =
Δλ Δf v f ω
z = ≈ ≈
λ f c ω = 2π f
Cosmological expansion Simple harmonic oscillator
v = H d m
Question
Physics
Edexcel2022
Gravitational field strength
Gm
Ideal gas equation
g =
r 2
pV = NkT
Gravitational potential
Stefan‑Boltzmann law
−Gm
L = σAT 4 V =
grav r
L = 4πr2σT 4
Oscillations
Wien’s law
Simple harmonic motion
λ T = 2.898 × 10−3 m K
max
F = −k x
Space a = −ω2x
Intensity x = A cos ωt
L
v = −Aω sin ωt
I =
4πd 2
a = ‒Aω2 cos ωt
Redshift of electromagnetic radiation
Question
Physics
Edexcel2021
Gravitational field strength
Gm
Ideal gas equation
g =
r 2
pV = NkT
Gravitational potential
Stefan-Boltzmann law
−Gm
L = σAT 4 V =
grav r
L = 4πr2σT 4
Oscillations
Wien’s law
Simple harmonic motion
λ T = 2.898 × 10−3 m K
max
F = −k x
Space a = −ω2x
Intensity x = A cos ωt
L
v = −Aω sin ωt
I =
4πd 2
a = ‒Aω2 cos ωt
Redshift of electromagnetic radiation
Question
Physics
Edexcel2020
Gravitational field strength
Gm
Ideal gas equation
g =
r 2
pV = NkT
Gravitational potential
Stefan-Boltzmann law
−Gm
L = σAT 4 V =
grav r
L = 4πr2σT 4
Oscillations
Wien’s law
Simple harmonic motion
λ T = 2.898 × 10−3 m K
max
F = −k x
Space a = −ω2x
Intensity x = A cos ωt
L
v = −Aω sin ωt
I =
4πd 2
a = ‒Aω2 cos ωt
Redshift of electromagnetic radiation