A student sets up an experiment to investigate the interaction between two trolleys on a smooth, horizontal track - Scottish Highers Physics - Question 3 - 2022
Question 3
A student sets up an experiment to investigate the interaction between two trolleys on a smooth, horizontal track.
The mass of trolley X is 0.50 kg and the mass of ... show full transcript
Worked Solution & Example Answer:A student sets up an experiment to investigate the interaction between two trolleys on a smooth, horizontal track - Scottish Highers Physics - Question 3 - 2022
Step 1
(a) (i) Calculate the magnitude of the change in momentum of trolley Y when the plunger is activated.
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Answer
To calculate the change in momentum, we use the formula:
Δp=m(vf−vi)
where:
m = mass of trolley Y = 0.25 kg,
v_f = final velocity of trolley Y = 1.80 m/s,
v_i = initial velocity of trolley Y = 0.40 m/s.
Substituting the values in:
Δp=0.25×(1.80−0.40)=0.25×1.40=0.35kgm/s
Step 2
(a) (ii) Calculate the time during which the plunger exerts a force on trolley Y.
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Answer
Using the formula for force:
F=ΔtΔp
Rearranging gives:
Δt=FΔp
Where:
(\Delta p = 0.35 , kg , m/s)
(F = 6.25 , N)
Substituting the values in:
Δt=6.250.35=0.056s
Step 3
(b) Calculate the velocity of trolley X immediately after the trolleys separate.
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Answer
Using conservation of momentum:
mXvXi+mYvYi=mXvXf+mYvYf
Where:
(m_X = 0.50 , kg)
(v_{X_i} = 0.40 , m/s)
(m_Y = 0.25 , kg)
(v_{Y_i} = 0.40 , m/s)
(v_{Y_f} = 1.80 , m/s)
Substituting values:
0.20 + 0.10 = 0.50 v_{X_f} + 0.45$$
Solving for \(v_{X_f}\):
$$0.30 = 0.50 v_{X_f} + 0.45\
0.30 - 0.45 = 0.50 v_{X_f}\
-0.15 = 0.50 v_{X_f}\
v_{X_f} = -0.30 \, m/s$$
This indicates that trolley X moves to the left.
Step 4
(c) Explain how the student would determine whether this interaction was elastic.
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Answer
To determine if the interaction was elastic, the student should compare the total kinetic energy before and after the interaction. If the total kinetic energy remains the same, the interaction is elastic. However, if the total kinetic energy decreases, then it is inelastic.
Step 5
(d) (i) State the name of this effect.
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The effect is known as the photovoltaic effect.
Step 6
(d) (ii) Explain the process occurring when photons of light are incident on the photodiode.
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When light photons strike the photodiode, electrons gain energy and move from the valence band to the conduction band. This movement creates a flow of current and generates a potential difference across the diode, ultimately converting light energy into electrical energy.
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