AS & A Level Physics - 9702 Paper 1 2011 Winter Zone 3

Which group of quantities contains only vectors?

Which statement using prefixes of the base unit metre (m) is not correct?

An Olympic athlete of mass 80 kg competes in a 100 m race.
What is the best estimate of his mean kinetic energy during the race?

A cylindrical tube rolling down a slope of inclination $\theta$ moves a distance $L$ in time $T$. The equation relating these quantities is

$$ L \left( 3 + \frac{a^2}{P} \right) = QT^2 \sin \theta $$

Where $a$ is the internal radius of the tube and $P$ and $Q$ are constants.

Which line gives the correct units for $P$ and $Q$?

A tennis ball is released from rest at the top of a tall building.

Which graph best represents the variation with time $t$ of the acceleration $a$ of the ball as it falls, assuming that the effect of air resistance is not negligible?

A ball is released from rest on a smooth slope XY.

It moves down the slope, along a smooth horizontal surface YZ and rebounds inelastically at Z. Then it moves back to Y and comes to rest momentarily somewhere on XY.

Which velocity-time graph represents the motion of the ball? 

A body falling in a uniform gravitational field encounters air resistance. The air resistance increases until terminal velocity is reached. Which factor does not affect its terminal velocity?

A boy throws a ball vertically upwards. It rises to a maximum height, where it is momentarily at rest, and then falls back to his hands.

Which row gives the acceleration of the ball at various stages in its motion? (Take vertically upwards as positive. Ignore air resistance.)

An ice-hockey puck slides along a horizontal, frictionless ice-rink surface. It collides inelastically with a wall at right angles to its path, and then rebounds along its original path.

Which graph shows the variation with time $t$ of the momentum $p$ of the puck?

What is the $\textit{definition}$ of the force on a body?

A car accelerates from rest. The graph shows the momentum of the car plotted against time.

What is the meaning of the gradient of the graph at a particular time? 

The diagram shows a child's balancing game.

The wooden rod is uniform and all the rings are of equal mass. Two rings are hung on peg 13 and one on peg 1.

On which hook must a fourth ring be hung in order to balance the rod? 

A ladder rests in equilibrium on rough ground against a rough wall.

Its weight $W$ acts through the centre of gravity $G$. Forces also act on the ladder at $P$ and at $Q$. These forces are $P$ and $Q$ respectively.

Which vector triangle represents the forces on the ladder? 

A ruler of length 0.30 m is pivoted at its centre. Equal and opposite forces of magnitude 2.0 N are applied to the ends of the ruler, creating a couple as shown.

What is the magnitude of the torque of the couple on the ruler when it is in the position shown? 

The first column in the table gives four examples of work being done. The second column gives more detail of the action.

Which row is not correct?

The diagram shows a particle X, with kinetic energy $E_k$, about to collide with a stationary particle Y. Both particles have the same mass.

After colliding, X and Y travel onwards together as a single larger particle.

How much kinetic energy is lost in the collision? 

An electric motor is required to produce 120 W of mechanical output power. The efficiency of the motor is 80%.

Which row is correct?

A mass $m$ is situated in space in a uniform gravitational field. When the mass moves through a displacement $x$, from $P$ to $Q$, it loses an amount of potential energy $E$.

Which row correctly specifies the magnitude and the direction of the acceleration due to the gravity in this field? 

A trolley runs from P to Q along a track. At Q its potential energy is 50 kJ less than at P.

At P, the kinetic energy of the trolley is 5 kJ. Between P and Q, the work the trolley does against friction is 10 kJ.

What is the kinetic energy of the trolley at Q? 

The Young modulus of steel is determined using a length of steel wire and is found to have the value $E$.

Another experiment is carried out using a wire of the same steel, but of half the length and half the diameter.

What value is obtained for the Young modulus in the second experiment?

A rubber band is stretched and then relaxed to its original length. The diagram shows the force-extension graph for this process.

As the force is increased, the curve follows the path OPQ to extension e. As the force is reduced, the curve follows the path QRO to return to zero extension.

The area labelled X is between the curves OPQ and QRO. The area labelled Y is bounded by the curve QRO and the horizontal axis.

Which statement about the process is correct? 

Pollen grains are suspended in a liquid and are illuminated strongly. When observed under a microscope they are seen to be in continuous random motion. What is the reason for this?

Why does the pressure increase when a sealed container of gas is heated?

A metal cube of side $l$ is placed in a vice and compressed elastically by two opposing forces $F$.

How will $\Delta l$, the amount of compression, relate to $l$? 

When describing the behaviour of a spring, the spring constant is used.

Different loads are used to extend the spring by different amounts.

To find the spring constant, which quantities are required?

The diagram shows a view from above of a double slit interference demonstration.

L is a monochromatic light source with a vertical filament. B is a barrier with two narrow vertical slits and S is a screen upon which interference fringes form.

The intensity is $I$ at a point on the screen where the centre of the fringe pattern forms. What is the intensity, at the same point, when one of the slits is covered up?

P is a source emitting infra-red radiation and Q is a source emitting ultra-violet radiation. The figures in the table are suggested values for the wavelengths emitted by P and Q.

Which row is correct?

Coherent waves are produced at P and at Q and travel outwards in all directions. The line RS is halfway between P and Q and perpendicular to the line joining P and Q. The distance RS is much greater than the distance PQ.

Along which line, or lines, is an interference pattern observed?

Travelling waves of wavelength 20 cm are created in the air columns in a closed pipe P and an open pipe Q. The lengths of the pipes are shown.

In which pipe or pipes are stationary waves formed?

The diagram shows an insulating rod with equal and opposite point charges at each end. An electric field of strength $E$ acts on the rod in a downwards direction.

 
Which row is correct? 

Two horizontal parallel plate conductors are separated by a distance of 5.0 mm in air.

The lower plate is earthed and the potential of the upper plate is +50V.

What is the electric field strength $E$ at a point midway between the plates?

An atomic nucleus emits a \( \beta \)-particle.
What change does this cause to the proton number and the nucleon number of the nucleus?
[Table_1]

Which statement is not valid?

Which statement about electrical resistivity is correct?

A cell, two resistors of equal resistance and an ammeter are used to construct four circuits. The resistors are the only parts of the circuits that have resistance. In which circuit will the ammeter show the greatest reading?

Three resistors of resistance $R$, $2R$ and $3R$ are connected in parallel.
Using $I$ to represent the current through the resistor of resistance $R$, which row represents the relationships between the currents through the resistors?
[Table_1]

A cell of e.m.f. $E$ and internal resistance $r$ is connected in series with a switch $S$ and an external resistor of resistance $R$.

The p.d. between $P$ and $Q$ is $V$.



When $S$ is closed,

Which of the equations that link some of the following terms is correct?
potential difference (p.d.) $V$
current $I$
resistance $R$
charge $Q$
energy $E$
power $P$
time $t$

The diagram shows a potential divider circuit designed to provide a variable output p.d. Which row gives the available range of output p.d.?