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Pre Mock Review
Topics 1, 2,3,4,10 Selected Problems – Paper 1
1.
The mass of a body is measured to be 0.600 kg and its acceleration to be 3 m s–2. The net force
on the body, expressed to the correct number of significant figures is
A.
1.8 N.
B.
1.80 N.
C.
2 N.
D.
2.0 N.
(1)
2.
The length of a page of the examination paper is approximately 30 cm.
Which of the following gives the order of magnitude for the time taken for light to travel the
length of the page?
A.
10–7 s
B.
10–8 s
C.
10–9 s
D.
10–10 s
(1)
1
3.
The diagram below shows a boat that is about to cross a river in a direction perpendicular to the
bank at a speed of 0.8 m s–1. The current flows at 0.6 m s–1 in the direction shown.
Bank
0.6 ms
0.8 ms –1
–1
Boat
Bank
The magnitude of the displacement of the boat 5 seconds after leaving the bank is
A.
3 m.
B.
4 m.
C.
5 m.
D.
7 m.
(1)
4.
The density of a metal cube is given by the expression ρ 
M
where M is the mass and V is the
V
volume of the cube. The percentage uncertainties in M and V are as shown below.
M
12
V
4.0
The percentage uncertainty in the calculated value of the density is
A.
3.0.
B.
8.0.
C.
16.
D.
48.
(1)
2
5.
A raindrop falling through air reaches a terminal velocity before hitting the ground. At terminal
velocity, the frictional force on the raindrop is
A.
zero.
B.
less than the weight of the raindrop.
C.
greater than the weight of the raindrop.
D.
equal to the weight of the raindrop.
(1)
6.
A boat is moving in the direction shown with a speed of 5 m s−1 as measured by Nico who is at
rest on the beach. Aziz walks along the deck of the boat in the direction shown with a speed of 2
m s−1 measured relative to the boat.
positive direction
Aziz
5 m s–1
Nico
If velocity is measured as positive in the direction shown, the velocity of Nico relative to Aziz
is
A.
− 7 m s−1.
B.
− 3 m s−1.
C.
+ 3 m s−1.
D.
+ 7 m s−1.
(1)
3
7.
The graph below shows the variation with time t of the displacement d of a body moving along
a straight-line.
d
0
0
t
Which graph best represents the variation with time t of the velocity v of this body?
A.
0
C.
B.
v
0
0
0
t
v
D.
0
t
v
0
t
0
t
v
0
(1)
4
8.
The variation with time t of the speed v of a car moving along a straight road is shown below.
v
S1
S2
S3
0
0
t
Which area, S1, S2 or S3, or combination of areas, represents the total distance moved by the car
during the time that its speed is reducing?
A.
S1
C.
S1 + S3
B.
S3
D.
S1 + S2 + S3
(1)
9.
A ball, initially at rest, takes time t to fall through a vertical distance h. If air resistance is
ignored, the time taken for the ball to fall from rest through a vertical distance 9h is
A.
3t.
C.
9t.
B.
5t.
D.
10t.
(1)
10.
The net force acting on a body is zero. Which of the following quantities must also have zero
magnitude for this body?
A.
Momentum
C.
Speed
B.
Velocity
D.
Acceleration
(1)
11.
The velocity of a particle is changing. The rate of change of the momentum of the particle is
equal to the
A.
acceleration of the particle.
B.
net force acting on the particle.
C.
work done on the particle.
D.
change in kinetic energy of the particle.
(1)
5
12.
A truck collides head on with a less massive car moving in the opposite direction to the truck.
During the collision, the average force exerted by the truck on the car is FT and the average
force exerted by the car on the truck is FC. Which one of the following statements is correct?
A.
FT will always be greater in magnitude than FC.
B.
FT will always be equal in magnitude to FC.
C.
FT will be greater in magnitude than FC only when the speed of the car is less than the
speed of the truck.
D.
FT will be equal in magnitude to FC only when the speed of the truck is equal to the speed
of the car.
(1)
13.
A block on a frictionless horizontal table is attached by a light, inextensible string to an object P
of mass m that hangs vertically as shown below.
pulley
M
P
mass m
The pulley has zero friction and the acceleration of free fall is g. The acceleration of the block
and object P is
A.
B.
g.
m g.
M
C.
m g.
mM
D.
m M
g.
m
(1)
14.
The velocity of a body of mass m changes by an amount v in a time t. The impulse given to
the body is equal to
A.
mt.
B.
v
.
t
v
.
t
C.
m
D.
mv.
(1)
6
15.
The graph below shows the variation with displacement d of the force F applied by a spring on
a cart.
5
4
3
F/N
2
1
0
0
3
1
2
d / 10–2 m
The work done by the force in moving the cart through a distance of 2 cm is
A.
10 × 10–2J.
C.
5 × 10–2J.
B.
7 × 10–2J.
D.
2.5 × 10–2J.
(1)
16.
Engine X is stated to be more powerful than engine Y.
Which of the following is the correct comparison of the engines?
A.
Engine X produces a larger force than engine Y.
B.
Engine X produces more useful energy than engine Y.
C.
Engine X produces more useful energy per unit time than engine Y.
D.
Engine X produces more power for a longer time than engine Y.
(1)
17.
The centripetal force F acting on a particle of mass m that is travelling with linear speed v along
the arc of a circle of radius r is given by
v2
.
A.
F=
B.
F = mv2r.
C.
F = mr2v.
D.
F=
mr
mv 2
r
.
(1)
7
18.
The kelvin temperature of an object is a measure of
A.
the total energy of the molecules of the object.
B.
the total kinetic energy of the molecules of the object.
C.
the maximum energy of the molecules of the object.
D.
the average kinetic energy of the molecules of the object.
(1)
19.
A solid is at an initial temperature of 500 K. The solid is heated so that its temperature rises by
50 K.
What are the initial temperature and the temperature rise of the solid, as measured on the
Celsius scale of temperature?
initial temperature
temperature rise
A.
227°C
50°C
B.
227°C
323°C
C.
773°C
50°C
D.
773°C
323°C
(1)
20.
The heat capacity of a solid body is defined as
A.
the thermal energy required to increase the body’s temperature by one degree.
B.
the maximum thermal energy that must be supplied to melt the solid.
C.
the total kinetic energy of the solid’s molecules.
D.
the average kinetic energy of the solid’s molecules.
(1)
21.
A liquid is heated in a well-insulated container. The power input to the liquid and its specific
heat capacity are known.
Which of the following quantities must be known in order to calculate the rate at which the
temperature increases?
A.
The time for which the liquid is heated
B.
The initial temperature of the liquid
C.
The final temperature of the liquid
D.
The mass of the liquid
(1)
8
22.
A fixed quantity of an ideal gas is compressed at constant temperature. The best explanation for
the increase in pressure is that the molecules
A.
are moving faster.
B.
are colliding more frequently with the container walls.
C.
exert greater forces on each other.
D.
are colliding more frequently with each other.
(1)
23.
Which of the following will not affect the rate of evaporation of a liquid?
A.
The temperature of the liquid
B.
The surface area of the liquid
C.
The mass of the liquid
D.
Convection currents of air above the liquid surface
(1)
24.
The graph below shows the variation with time t of the displacement x of a particle undergoing
simple harmonic motion.
Which graph correctly shows the variation with time t of the acceleration a of the particle?
(1)
9
Try this:
10
25.
A wooden block is at rest on a horizontal frictionless surface. A horizontal spring is attached
between the block and a rigid support.
The block is displaced to the right by an amount X and is then released. The period of
oscillations is T and the total energy of the system is E.
For an initial displacement of
X
which of the following shows the best estimate for the period
2
of oscillations and the total energy of the system?
Period
A.
T
B.
T
C.
D.
T
2
T
2
Total energy
E
2
E
4
E
2
E
4
(1)
11
Try this :
26.
The speed of a wave is defined as
A.
the speed at which the particles of the wave vibrate.
B.
the speed of the medium through which the wave passes.
C.
the speed of transfer of the energy of the wave.
D.
the speed at which the vibrations of the wave are produced.
(1)
12
TRY THESE :
Example 1:
A transverse travelling wave has amplitude A0 and wavelength λ.
The distance between a crest and its neighbouring trough, measured in the direction of energy
transfer of the wave is equal to
A.
A0.
B.
2A0.
C.

.
2
D.
λ.
Example 2 :
One end of a long string is vibrated at a constant frequency f. A travelling wave of wavelength  and
speed v is set up on the string.
The frequency of vibration is doubled but the tension in the string is unchanged. Which of the
following shows the wavelength and speed of the new travelling wave?
Wavelength
A.
B.
λ
2
λ
2
Speed
v
2v
C.
2
v
D.
2
2v
13
Example 3 :
A wave is travelling through a medium. The diagram shows the variation with time t of the
displacement d of a particle of the medium from t = 0 to t = 25 ms.
1.5
1
d/cm
0.5
00
5
10
15
20
25
t/ms
–0.5
–1
–1.5
Which of the following correctly gives the frequency and the amplitude of the wave?
frequency / Hz
amplitude / cm
A.
2.0  10–2
2.0
B.
2.0  10–2
1.0
C.
50
2.0
D.
50
1.0
14
27.
The diagram below shows a pulse travelling along a rope from X to Y. The end Y of the rope is
tied to a fixed support.
X
Y
When the pulse reaches end Y it will
A.
disappear.
B.
cause the end of the rope at Y to oscillate up and down.
C.
be reflected and be inverted.
D.
be reflected and not be inverted.
(1)
28.
Light is incident on an air-glass boundary as shown below.
Q
air
P
R
glass
S
Which one of the following is a correct statement of Snell’s law?
A.
sin P = constant  sin R
B.
sin P = constant  sin S
C.
sin Q = constant  sin R
D.
sin Q = constant  sin S
(1)
15
Try these :
1. A plane wave approaches and passes through the boundary between two
media. The speed of the wave in medium 1 is greater than that in medium 2.
Which one of the following diagrams correctly shows the wave fronts?
A.
B.
Medium 1
Medium 1
Medium 2
Medium 2
C.
D.
Medium 1
Medium 1
Medium 2
Medium 2
2. This question is about waves and wave properties.
(a)
By making reference to waves, distinguish between a ray and a wave front.
The diagram below shows three wave fronts incident on a boundary between medium I and
medium R. Wave front CD is shown crossing the boundary. Wave front EF is incomplete.
A
C
E
F
medium I
medium R
B
(b)
(ii)
(i)
D
On the diagram above, draw a line to complete the wave front EF.
Explain in which medium, I or R, the wave has the higher speed.
16
29.
The diagram below shows ocean waves incident on a stone barrier protecting boats anchored
behind it.
Waves
Boats
Barrier
The boats could still be at risk of damage by waves mainly as a result of
A.
refraction.
C.
diffraction.
B.
standing waves.
D.
reflection.
(1)
30.
Two identical triangular pulses of amplitude X travel toward each other along a string. At the
instant shown on the diagram below, point M is midway between the two pulses.
X
M
X
The amplitude of the disturbance in the string as the pulses move through M is
A.
2X.
C.
X
.
2
B.
X.
D.
0.
17
31.
A stone is thrown from O at an angle to the horizontal. Which sketch below best shows the path
of the stone when air resistance is not neglected? On each sketch, the broken line shows the
path for the same stone in a vacuum.
A.
B.
O
O
C.
D.
O
O
(1)
32.
Which one of the following is a true statement concerning the vertical component of the
velocity and the acceleration of a projectile when it is at its maximum height? (The acceleration
of free fall is g.)
Vertical component of velocity
Acceleration
A.
maximum
zero
B.
maximum
g
C.
zero
zero
D.
zero
g
(1)
18

Try these : Problems: pp. 94 1,2 3,6,8,9 - below
19
Example:
20
Example Graphs Showing Vx and Vy
Example:
21
33.
A ball rolls off a horizontal table with velocity v. It lands on the ground a time T later at a
distance D from the foot of the table as shown in the diagram below. Air resistance is negligible.
v
table
D
A second heavier ball rolls off the table with velocity v. Which one of the following is correct
for the heavier ball?
Time to land
Distance from table
A.
T
D
B.
T
less than D
C.
less than T
D
D.
less than T
less than D
(1)
34.
A stone is thrown at an angle to the horizontal. Ignoring air resistance, the horizontal component
of the initial velocity of the stone determines the value of
A.
range only.
B.
maximum height only.
C.
range and maximum height.
D.
range and time of flight.
(1)
22
35.
Two identical boxes X and Y each contain an ideal gas.
Box X
Box Y
n moles
2n moles
temperature T
temperature
pressure PX
pressure PY
T
3
In box X there are n moles of the gas at temperature T and pressure PX. In box Y there are 2n moles of
T
the gas at temperature
and pressure PY.
3
The ratio
PX
PY
is
A.
2
.
3
C.
2.
B.
3
.
2
D.
3.
(1)
23