Learn Extracted exam questions A-Level Physics 9702 Physics November 2025 Question Paper 24
9702 Physics November 2025 Question Paper 24
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A child kicks a ball so that it leaves horizontal ground with a velocity of $28\text{ m}\,\text{s}^{-1}$ at an angle of $34^\circ$ to the horizontal, as shown in Fig. 1.1.
Air resistance is negligible. The ball leaves the ground at time $t = 0$.
Calculate the horizontal component $v_{\text{H}}$ and the vertical component $v_{\text{V}}$ of the velocity of the ball immediately after it has left the ground.
$v_{\text{H}} = \hrulefill \text{ m}\,\text{s}^{-1}$ $v_{\text{V}} = \hrulefill \text{ m}\,\text{s}^{-1}$
Show that the ball reaches its maximum height at time $t = 1.6\text{ s}$.
On Fig. 1.2, sketch the variation of $v_{\text{H}}$ with time $t$ between $t = 0$ and $t = 3.2\text{ s}$. Label your line H.
On Fig. 1.2, sketch the variation of $v_{\text{V}}$ with time $t$ between $t = 0$ and $t = 3.2\text{ s}$. Assume that velocity in the upward direction is positive. Label your line V.
The total change in momentum of the ball between leaving the ground at $t = 0$ and landing on the ground at $t = 3.2\text{ s}$ is $13\text{ kg}\,\text{m}\,\text{s}^{-1}$.
Define momentum.
Calculate the force that acts on the ball while it is in the air.
force = \hrulefill N
Determine the mass of the ball.
mass = \hrulefill kg
Fig. 2.1 shows a square metal sheet of non-uniform density, with a thin wooden rod fixed at its centre. One of the corners of the sheet is labelled X.
The rod has negligible mass. The mass of the metal sheet is $2.8 \text{ kg}$. The rod is supported so that the rod is horizontal and the metal sheet is vertical.
Define the torque of a couple.
When the rod is supported in such a way that it can rotate freely within its support, the sheet hangs in equilibrium with point X vertically above the rod, as shown in Fig. 2.2.
On Fig. 2.2, draw a line to indicate the range of possible positions for the centre of gravity of the metal sheet.
When a torque of $3.3 \text{ N m}$ is applied to the rod, the sheet is held in equilibrium with two of its edges horizontal, as shown in Fig. 2.3. Point X is at the top-left corner.
Explain whether the torque applied to the rod to hold the sheet in equilibrium is clockwise or anticlockwise.
Show that the centre of gravity of the sheet has a horizontal displacement of $0.12 \text{ m}$ from the rod.
The square metal sheet has an average density of $3000 \text{ kg m}^{-3}$ and a uniform thickness of $4.0 \text{ mm}$.
Show that the side length of the sheet is $0.48 \text{ m}$.
Use the answer in \textbf{(b)} and the information in \textbf{(c)} and \textbf{(d)} to determine the position of the centre of gravity of the sheet. Indicate this position on Fig. 2.3 with a point labelled Y.
A bungee jumper of mass $64\text{ kg}$ secures one end of an elastic rope to a bridge. The other end is attached to the bungee jumper. The jumper falls from rest from the bridge and descends into the valley below, as shown in Fig. 3.1.
Fig. 3.2 shows the variation of the tension $T$ in the rope with the vertical distance $h$ of the jumper below the level of the bridge.
The rope obeys Hooke’s law.
State Hooke’s law.
Determine the unstretched length of the rope.
length = \hrulefill m
Determine the spring constant $k$ of the rope.
$k$ = \hrulefill $\text{N}\,\text{m}^{-1}$
For the position of the bungee jumper at a distance of $120\text{ m}$ below the bridge:
show that the loss of gravitational potential energy since leaving the bridge is $75\text{ kJ}$
show that the elastic potential energy in the rope is $75\text{ kJ}$.
Explain what can be deduced from the information in \textbf{(c)} about the speed of the bungee jumper when at a distance of $120\text{ m}$ below the bridge.
State the principle of superposition.
An electromagnetic wave of wavelength $0.026\text{ m}$ in free space is incident normally on an aluminium sheet, as shown in Fig. 4.1.
The wave reflects at the aluminium sheet and a stationary wave is formed in the region between the transmitter and the sheet.
Explain how the stationary wave, including its nodes and antinodes, is formed.
Calculate the frequency of the electromagnetic wave.
frequency = \hrulefill Hz
State the principal region of the electromagnetic spectrum to which the wave belongs.
Determine the distance between a node and an adjacent antinode.
distance = \hrulefill m
A student uses a circuit containing an ammeter, a voltmeter and a cell to take measurements to determine the resistance of a length of nichrome wire.
Define resistance.
Draw a circuit diagram to show how the components should be connected. Use the symbol for a resistor to represent the nichrome wire.
The student also measures the length and the diameter of the wire. Table 5.1 shows the measurements recorded for each quantity.
\textbf{Table 5.1}
\begin{tabular}{|c|c|} \hline quantity & measurement \ \hline length & $(0.864 \pm 0.001)\text{ m}$ \ diameter & $(0.496 \pm 0.002)\text{ mm}$ \ voltmeter reading & $(1.38 \pm 0.02)\text{ V}$ \ ammeter reading & $(0.276 \pm 0.001)\text{ A}$ \ \hline \end{tabular}
Show that the resistance of the wire is $5.00\ \Omega$.
Calculate, to three significant figures, the resistivity $\rho$ of the nichrome.
$\rho = \hrulefill \ \Omega\text{m}$
Calculate the percentage uncertainty in $\rho$.
$\text{percentage uncertainty} = \hrulefill \ \%$
Determine the absolute uncertainty in $\rho$.
$\text{absolute uncertainty} = \hrulefill \ \Omega\text{m}$
Fig. 6.1 shows four alpha particles W, X, Y and Z moving towards a gold nucleus that is in thin gold foil.
The paths of particles X and Z are shown.
Complete Fig. 6.1 to show possible paths for particles W and Y.
Describe what may be inferred about the structure of an atom from the path of particle X.
When a beam containing many alpha particles is incident on thin gold foil, nearly all of the alpha particles follow paths that are similar to the path of particle Z.
Describe what may be inferred from this about the structure of an atom.
State the mass and the charge, in terms of the atomic mass unit $u$ and the elementary charge $e$, of an alpha particle.
mass = \hrulefill $u$ charge = \hrulefill $e$
There are two types of hadron. The hadrons that are in alpha particles are each composed of three quarks.
State the name of this type of hadron.
Show, by reference to their constituent quarks, that the hadrons in an alpha particle have charges of either zero or $+1e$.