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What is the best estimate of the kinetic energy of a family car travelling at 50 km h$^{-1}$?
The diagram shows two vectors X and Y. The vectors are perpendicular to one another. What is the magnitude and direction of vector (X – Y)?
Which expression using SI base units is equivalent to the volt?
A voltage is carefully measured with a high-quality instrument and found to be 2.321 V.
Two students, using two different methods, conclude that the voltage is 2.33 V and 2.344 V respectively.
Which statement is correct?
On a planet, a vertically-launched projectile takes 12.5 s to return to its starting position. The projectile gains a maximum height of 170 m. The planet does not have an atmosphere.
What is the acceleration of free fall on this planet?
A displacement-time graph for a toy car is shown.
Which graph shows the variation with time of the velocity v of the car?
A driver stops his car in time $t$ by gradually increasing the total braking force on the car. The graph shows the resultant force on the car.
Which graph shows how the speed of the car will vary during this time?
The graph shows the variation of a quantity $y$ with a quantity $x$ for a body that is falling in air at constant (terminal) velocity in a uniform gravitational field.
Which quantities could $x$ and $y$ represent?
A ball of mass 2.0 kg travels horizontally with a speed of 4.0 m s$^{-1}$. The ball collides with a wall and rebounds in the opposite direction with a speed of 2.8 m s$^{-1}$. The time of the collision is 150 ms.
What is the average force exerted on the wall?
An ice-hockey puck of mass 150 g moves with an initial speed of 2.0 $m s^{-1}$ along the surface of an ice rink.
The puck slides a distance of 30 m in a straight line before stopping.
What is the average frictional force acting on the puck?
A uniform beam of mass 1.4 kg is pivoted at P as shown. The beam has a length of 0.60 m and P is 0.20 m from one end. Loads of 3.0 kg and 6.0 kg are suspended 0.35 m and 0.15 m from the pivot as shown.
What is the torque that must be applied to the beam in order to maintain it in equilibrium?
An air bubble is rising through a liquid at a constant speed. The forces on it are the upthrust $U$, the viscous drag $D$ and its weight $W$.
Which diagram shows the directions and relative sizes of the forces?
The diagram represents a sphere under water. P, Q, R and S are forces acting on the sphere due to the pressure of the water.
Each force acts perpendicularly to the sphere’s surface. P and R act in opposite directions vertically. Q and S act in opposite directions horizontally.
Which information about the magnitudes of the forces is correct?
The first column in the table gives four examples of work being done. The second column gives more detail of the action.
Which is not correct?
A steam turbine is used to drive a generator. The input power to the turbine is $P_I$ and the output power is $P_O$. The power loss in the turbine is $P_L$, as shown below.
What is the efficiency of the turbine?
A constant force pushes a block along a horizontal frictionless surface. The block moves from rest through a fixed distance.
What is the relationship between the final speed $v$ of the block and its mass $m$?
A man has a mass of 80 kg. He ties himself to one end of a rope which passes over a single fixed pulley. He pulls on the other end of the rope to lift himself up at an average speed of 50 cm s$^{-1}$.
What is the average useful power at which he is working?
Two wires with the same Young modulus $E$ and cross-sectional area $A$, but different lengths $L$, are subject to different tensile forces $F$. The extension $e$ of each wire is the same.
The column headings in the table show four different quantities.
Which quantities have the same value and which quantities have different values for the two wires?
Two springs X and Y stretch elastically. The graphs show the variation with extension x of the force F applied to each spring.
Which statement is correct?
The diagram shows the force-extension graph for a steel wire, up to its breaking point.
What is the best estimate of the work done to break the wire?
Which statement about electromagnetic waves in a vacuum is correct?
A transverse wave travels along a rope. The graph shows the variation of the displacement of the particles in the rope with distance along it at a particular instant.
At which distance along the rope do the particles have maximum upwards velocity?
A trace is shown on the screen of a cathode-ray oscilloscope (c.r.o.).
The time-base setting is 2.5 ms cm$^{-1}$ and the Y-gain is 2.0 V cm$^{-1}$.
What is the frequency and the amplitude of the waveform displayed by the c.r.o.?
A high-speed train approaches a stationary observer at a speed of 80 m s\(^{-1}\). The train's horn emits a sound of frequency 250 Hz.
The speed of sound is 340 m s\(^{-1}\).
What is the observed frequency of the sound from the horn?
Which row shows a correct frequency in Hz for each of the four principal radiations?
A pipe of length 100 cm is open at both ends. A loudspeaker situated at one end of the pipe can emit sound of different wavelengths.
At which wavelength can a stationary wave be produced in the pipe?
Monochromatic light is incident on a diffraction grating and a diffraction pattern is observed.
Which row shows possible effects of replacing the grating with one that has twice as many lines per millimetre?
Monochromatic light of wavelength $\lambda$ is incident on two narrow slits $S_1$ and $S_2$, a small distance apart. A series of bright and dark fringes are observed on a screen a long distance away from the slits.
The $n$th dark fringe from the central bright fringe is observed at point P on the screen.
Which equation is correct for all positive values of $n$?
A dipole is a pair of charges of equal magnitude, one negative and one positive. The electric field of a dipole is shown below. In which direction does the force act on an electron when at point X?
In a uniform electric field, which statement is correct?
Two metal plates are a distance of 30 cm apart in a vacuum.
A current exists between the two plates consisting of electrons moving at a constant speed of $1.5 \times 10^6 \text{ m s}^{-1}$.
At any instant, there is always just one electron travelling between the plates.
What is the current between the plates?
The diagram shows a portable generator connected by cables to floodlights. The generator produces a current of 10 A at a constant potential difference (p.d.) of 240 V.
The total resistance of the cables is 2 $\Omega$.
[Image_1: Diagram of generator connection with cables and floodlights]
What is the p.d. $V$ across, and the power $P$ delivered to, the floodlights?
A metal cube with sides of length $a$ has electrical resistance $R$ between opposite faces.
What is the resistance between the opposite faces of a cube of the same metal with sides of length $3a$?
A graph of potential difference (p.d.) $V$ across a cell against current $I$ in the cell is shown.
As the cell reaches the end of its useful life, its internal resistance increases and its electromotive force (e.m.f.) decreases.
Which diagram shows a graph of $V$ against $I$ for the cell nearing the end of its useful life?
A 20 V d.c. supply is connected to a circuit consisting of five resistors L, M, N, P and Q.
There is a potential drop of 7 V across L and a further 4 V potential drop across N.
What are the potential drops across M, P and Q?
A potential divider circuit consists of a cell of negligible internal resistance in series with two variable resistors of resistances $R_1$ and $R_2$. The potential difference (p.d.) across the cell is $V_0$. The p.d. at the output is $V$.
Which statement is correct?
A nucleus of uranium-238, $^{238}_{92}\text{U}$ , decays in a series of steps to form a nucleus of lead-206, $^{206}_{82}\text{Pb}$, as shown.
$^{238}_{92}\text{U} \rightarrow ............ \rightarrow ^{206}_{82}\text{Pb}$
An $\alpha$-particle or a $\beta^-$ particle is emitted during each step.
What is the total number of $\beta^-$ particles that are emitted?
Which statement about \( \alpha \)-particles is correct?
The nuclear equation shown has a term missing.
$$^{14}_{6}\text{C} \rightarrow ^{14}_{7}\text{N} + ^{0}_{-1}\beta + \text{...........}$$
What is represented by the missing term?
Which particle is a fundamental particle?