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AL-MC-Revision / p.1
1.
(88-I-1)
3.
(88-I-3)
A football player is running at a velocity of
3 ms 1 due north. After a violent collision with
another player, he is moving at a velocity of
A boy wished to swim across a river with parallel
4 ms 1 due east. Which of the following arrows
banks as shown in the diagram above. Assuming
the water current is flowing at
0.5 ms 1 , and the
swimming speed of the boy is
1 ms 1 , along
best represents the direction of his change of
velocity?
which direction should the boy swim if he wishes
(1)
to reach the opposite bank in the shortest
time?
(2)
to take the shortest route to the opposite
bank?
(1) shortest time
(2) shortest route
4.
2.
A.
X
Y
B.
X
Z
C.
Y
X
D.
Y
Z
E.
Z
Y
(88-I-5)
(88-I-2)
The graph shown is a possible representation of the
A smooth block of mass 2 kg slides down a wedge.
relation between velocity and time for the motion
The wedge, of mass 10 kg, is placed on a
of
horizontal table, and its inclined plane makes an
o
angle of 30 with the horizontal. If the wedge
remains stationary all the time, the normal reaction
(1)
of the table acting on the wedge is
(2)
a mass, attached to a spiral spring, pulled
vertically downwards and then released.
the spot on the screen of a CRO when a
linear time base is operating.
A.
15 N.
B.
85 N.
C.
100 N.
D.
115 N.
E.
120 N.
(3)
a ball dropped vertically onto a hard, smooth
and horizontal surface, where it undergoes
elastic collisions.
A.
(1), (2) and (3)
B.
(1) and (2) only
C.
(2) and (3) only
D.
(1) only
E.
(3) only
AL-MC-Revision / p.2
5.
(89-I-3)
7.
(89-I-5)
Two ships X and Y travel with equal speeds. X
moves North and Y moves East. Which of the
following best gives the direction of the velocity of
X relative to Y?
In the figure above, X and Y are blocks of mass
1 kg and 2 kg respectively. S is a spring balance of
negligible mass and P is a smooth pulley fixed at
the top of two smooth inclined planes. What is the
reading of S when X is held stationary?
8.
A.
5N
B.
10 N
C.
15 N
D.
20 N
E.
30 N
(89-I-6)
A ball bounces up and down on the ground in the
6.
(89-I-4)
vertical direction. Which of the following graphs
best describes the variation of its acceleration a
with time t?
Two objects of weights 2 N and 3 N are suspended
from a fixed point by two identical light springs A
and B as shown in the diagram. The force
constants of the springs are both
1 N cm 1 .
What are the extensions of springs A and B?
Extension of
Extension of
spring A
spring B
A.
5 cm
3 cm
B.
5 cm
2 cm
C.
3 cm
2 cm
D.
3 cm
5 cm
E.
2 cm
3 cm
AL-MC-Revision / p.3
9.
11.
(89-I-7)
(90-I-2)
A man weighs an object with a spring balance in a
When a man is running due north, he feels
lift. Before the lift moves the scale reads 50 N. The
that the wind is blowing towards him from
lift goes down and then stops. The reading on the
the east. What is the actual direction of the
scale is
wind?
A.
50 N throughout the journey.
A.
from the east
B.
More than 50 N when the lift starts,
B.
from north-east
and remains steady until it comes to
C.
from south-east
rest.
D.
from south-west
Less than 50 N when the lift starts, and
E.
from north-west
C.
remains steady until it comes to rest.
D.
E.
More than 50 N as the lift starts, and
12.
(90-I-3)
less than 50 N as it comes to rest.
A uniform rope has a length
l and a mass m.
Less than 50 N as the lift starts, and
It is held stationary with 4/5 of the length of
more than 50 N as it comes to rest.
the rope lying on a smooth horizontal table
surface and with the remaining 1/5 hanging
10.
freely over the edge. The minimum work
(89-I-13)
required to pull the whole rope onto the table
surface is
A.
0.01 mg l
B.
0.02 mg l
A ball rolls down an inclined plane. The ball is first
C.
0.1 mg l
released from rest from P and then later from Q.
D.
0.2 mg l
Which of the following statements is/are correct?
E.
mg l
(1)
(2)
(3)
The ball takes twice as much time to roll
13.
(91-I-1)
from Q to O as it does to roll from P to O.
In which of the following situations is the
The acceleration of the ball at Q is twice as
magnitude of the normal reaction of the supporting
large as the acceleration at P.
surface, R, equal to the weight of the body, mg?
The ball has twice as much K.E. at O when
rolling from Q as it does when rolling from
(1)
At rest on a rough inclined plane.
P.
(2)
On the floor of a spacecraft in circular orbit
around the earth.
A.
(1), (2) and (3)
(3)
On the floor of a lift moving upwards with
B.
(1) and (2) only
C.
(2) and (3) only
D.
(1) only
A.
(1), (2) and (3)
E.
(3) only
B.
(1) and (2) only
C.
(2) and (3) only
D.
(1) only
E.
(3) only
uniform velocity.
AL-MC-Revision / p.4
14.
(91-I-2)
An object of mass m slides with constant
acceleration a down a plane making an angle
B.

C.
with the horizontal. The frictional force acting on
D.
the object is
E.
A.
B.
C.
D.
E.
1.6  10 3 rad
5.7  10 3 rad
8.3  10 3 rad
1.6  10 2 rad
8.3  10 2 rad
A.
mg  ma
mg  ma sin 
mg sin   ma
(mg  ma) sin 
(mg  ma) sin 
17. (92-I-1)
Three blocks A, B and C of masses m, 2m and 2m
respectively are placed on a smooth horizontal
15.
(91-I-3)
ground as shown in the figure above. A constant
horizontal force is applied to block A so that the
three blocks move with the same acceleration
towards the right. What is the resultant force acting
on block B?
A.
F/5
B.
F/3
A gas atom of mass m moving with a uniform
C.
2F/5
speed v makes an elastic collision with the wall of
D.
3F/5
the container as shown in the diagram. What is the
E.
F
magnitude of the change in the momentum of the
gas atom?
18.
(92-I-2)
A man in a lift measures his weight with a
A.
B.
C.
D.
E.
16.
2mv
mv sin 
mv cos
2mv sin 
2mv cos
compression balance and discovers that his weight
is reduced by 10%. The lift is probably
(91-I-4)
A spacecraft of mass
4.0 10 4 kg was travelling
(1)
moving upwards and accelerating at g /10.
(2)
moving upwards and decelerating at g/10.
(3)
moving downwards and accelerating at g/10.
(4)
moving downwards and decelerating at g/10.
(5)
moving downwards with uniform velocity.
on its way to the moon with the rocket motors shut
A.
(1) and (3) only
down. At the instant when it was travelling at
B.
(1) and (4) only
1500 ms 1 , the rocket motors were turned on for 5
C.
(2) and (3) only
D.
(2) and (4) only
seconds to make a course correction. If the rocket
E.
(5) only
gave a thrust of 1.0  10 N at right angles to the
direction of travel, through what angle would the
5
flight path of the spacecraft be turned?
AL-MC-Revision / p.5
19.
(92-I-3)
21.
(93-I-1)
A simple pendulum is swinging in a vertical plane.
When it is at the position shown, which of the
The resultant of two forces
following diagrams best represents the forces
acting on the bob? Neglect air friction.
F1 and F2 acting at
a point can have a minimum value of 1 N and a
maximum value of 7 N. When the two forces act at
right angles to each other, the magnitude of their
resultant is
A.
3N
B.
5N
C.
6N
D.
E.
22.
50 N
8N
(93-I-3)
A box moves at a uniform velocity of 2 ms-1 on a
20. (92-I-11)
A ball-bearing is dropped into viscous oil. Which
frictionless horizontal surface. Sand falls into the
of the following correctly describes its motion
box with negligible speed at a rate of 90 kg per
before the terminal speed is reached?
minute. What horizontal force is required to keep
the box moving uniformly at 2 ms-1?
Velocity
Acceleration
A.
decreases
decreases
A.
0N
B.
decreases
increases
B.
3N
C.
increases
constant
C.
6N
D.
increases
decreases
D.
90 N
E.
increases
increases
E.
180 N
AL-MC-Revision / p.6
23.
(94-IIA-1)
24. (94-IIA-2)
A man of weight W stands on a compression balance
placed inside a lift. The velocity-time graph of the
lift is shown below (The upward direction is taken to
be positive) :
The above figure shows a propeller-motor system
connected by a light, rigid rod to a fixed point P on
Which of the following graphs best shows the
the ceiling. The system remains stationary when
variation of the reading on the balance, R, with
the motor is on. Which of the following diagrams
time, t?
correctly represents the forces acting on the
propeller-motor system?
25.
(94-IIA-4)
A softball of mass 0.5 kg flies horizontally with a
speed of 20 ms-1 towards a player. After being hit
by the bat, it flies away at 30 ms-1 perpendicular to
its original direction. Find the magnitude of the
impulse acting on the softball.
A.
5 kg ms-1
B.
18 kg ms-1
C.
20 kg ms-1
D.
25 kg ms-1
E.
36 kg ms-1
AL-MC-Revision / p.7
26. (94-IIA-6)
28. (95-IIA-1)
Three bombs are released from a bomber flying
When given a slight push, a toy car moves freely
horizontally with constant velocity to the right.
with constant velocity down a plane inclined at
They are released from rest (relative to the bomber)
20 o to the horizontal. If the mass of the car is
one by one at one-second intervals. Neglecting air
0.5 kg, find the force parallel to the inclined plane
resistance, which of the following diagrams
for pulling the car up the plane with constant
correctly shows the positions of the bomber and
velocity.
the three bombs at a certain instant?
29.
A.
1.7 N
B.
3.4 N
C.
4.7 N
D.
6.7 N
E.
9.4 N
(95-IIA-2)
Two small spheres A and B of masses 1 kg and
2 kg respectively are released from rest at heights
4h and h above the ground as shown. Which of the
following statements is/are correct? (Assume air
resistance is negligible)
27. (94-IIA-7)
When an object falls freely, its total energy
(1)
The acceleration of sphere A doubles that of
sphere B.
A.
increases during the fall.
(2)
The time taken for sphere A to reach the
B.
decreases during the fall.
C.
remains constant during the fall.
D.
is zero at the beginning of the fall.
reaching the ground is double that of sphere
E.
is at a maximum at the end of the ball.
B.
ground is double that of sphere B.
(3)
The kinetic energy of sphere A when
A.
(1) only
B.
(3) only
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
AL-MC-Revision / p.8
30.
(95-IIA-3)
32.
(96-IIA-4)
An object is thrown vertically upward and
experiences an air resistance opposing its motion
with magnitude proportional to its speed. Which of
the following graphs best represents the variation
A trolley travels with constant velocity to the right
of the acceleration, a, of the object with time, t,
on horizontal ground and collides with a light
starting from the moment when the object leaves
helical spring attached to a wall fixed to the ground
one’s hand up to the time when it returns to the
(earth) as shown. At the instant that the trolley
ground? (Take downward as positive.)
comes momentarily to rest during collision, what
has happened to the initial momentum of the
trolley?
A.
It has been transferred to the earth.
B.
It has been stored in the spring.
C.
It has been dissipated as sound and
heat.
D.
It has been destroyed by the friction
due to the ground.
E.
It has been lost because the collision
was not perfectly elastic.
31.
(96-IIA-1)
Which of the following pairs of quantities of a
moving object must be in the same direction?
(1) acceleration and change in momentum
(2) displacement and velocity
(3) velocity and acceleration
A. (1) only
B. (3) only
C. (1) and (2) only
D. (2) and (3) only
E. (1), (2) and (3)
AL-MC-Revision / p.9
33.
(96-IIA-6)
35.
(97-IIA-2)
A ball of mass m is projected vertically downwards
with speed v from a certain height and rebounds
from the ground back to the same height. Which of
the following statements is/are correct? (Neglect
X, Y and Z are three spheres of the same size but
air resistance.)
with masses m, m, and 2m respectively, lying on a
smooth horizontal track with Y and Z in contact as
(1)
shown. X is moving to the right with velocity u
The collision between the ball and the
ground is not perfectly elastic.
and makes a head-on collision with Y. If all
(2)
collisions are perfectly elastic, which of the
The loss in energy of the ball in the collision
is
following gives the possible velocities of the three
spheres after all collisions?
(3)
(Take to the right as positive.)
1
mv 2 .
2
If the ball is projected vertically upwards
from the same height with the same speed, it
would rebound to a greater height.
34.
X
Y
Z
A.
0
0
u/2
A.
(1) only
B.
0
u/3
u/3
B.
(3) only
C.
-u / 3
0
2u / 3
C.
(1) and (2) only
D.
0
-u / 3
2u / 3
D.
(2) and (3) only
E.
u/4
u/4
u/4
E.
(1), (2) and (3)
(97-IIA-1)
36.
(97-IIA-6)
A nucleus originally at rest splits into two
fragments of unequal mass. The fragment with
smaller mass has a larger.
(1)
momentum.
Two wooden blocks A and B are connected by a
(2)
speed
string which passes over a smooth, fixed pulley as
(3)
kinetic energy.
shown. The maximum friction between any two
surfaces is 2 N. If a horizontal force F is applied to
A.
(1) only
block B, find its minimum value for moving B.
B.
(3) only
C.
(1) and (2) only
A.
2N
D.
(2) and (3) only
B.
4N
E.
(1), (2) and (3)
C.
6N
D.
8N
E.
10 N
AL-MC-Revision / p.10
37.
(98-IIA-1)
39.
(98-IIA-3)
Two blocks A and B of mass ratio 1 : 2 are placed
on a horizontal frictionless surface as shown above.
P and Q are horizontal forces acting on A and B
Two identical light springs are connected with two
respectively ( with P > Q ) so that the blocks move
masses of 1.0 kg and 0.5 kg as shown. Which of the
to the right with constant acceleration. Find the
following statements is/are correct?
force acting on B by A.
(1) The tension in the upper spring is double that in
A.
the lower spring.
(2) The force acting on the ceiling by the whole
B.
system is 15N.
(3) The tension in the upper spring will remain
C.
unchanged if the two masses are exchanged in
position.
D.
A. (1) only
B.
(3) only
C.
(1) and (2) only
E.
D. (2) and (3) only
E.
38.
40.
PQ
3
PQ
3
2( P  Q )
3
2P  Q
3
P  2Q
3
(98-IIA-4)
(1), (2) and (3)
(98-IIA-2)
The velocities of the longitudinal and transverse
waves produced by an earthquake are 5.0kms
1
1
and 9.0kms respectively. A seismograph
records the arrival of the transverse waves 64 s
before that of the longitudinal waves. How far
away was the earthquake?
The initial momentum of an object is
2 Ns in
o
the direction S 45 E and its final momentum is
1 Ns due east. If this change takes place in 0.5 s,
the average force acting on the object during the
A. 256 km
change is
B. 320 km
A. 1 N due north
C. 576km
B.
1 N due south
D. 659 km
C.
0.5 N due north
E. 720 km
D. 2 N due south
E.
2N due north
AL-MC-Revision / p.11
41.
(98-IIA-5)
Acceleration of A
The graph shows the time variation of the net force,
F, acting on an object of mass 1 kg. The object is
Acceleration of B
A.
zero
F
m
B.
zero
zero
C.
F
2m
F
m
D.
F
m
zero
E.
F
m
F
m
initially at rest and its subsequent motion is along a
straight line. Which of the following statements
43.
(99-IIA-2)
is/are correct?
(1) The object is accelerating in the first 5 seconds.
(2) The maximum speed of the object is less than
10ms 1 .
(3) The final speed of the object is zero.
A block of mass 5 kg is placed on the inclined
A. (1) only
surface of the wedge shown above. All contact
B. (3) only
surfaces are assumed to be smooth. What is the
C. (1) and (2) only
magnitude of the horizontal force F exerted on the
D. (2) and (3) only
wedge so that it remains stationary while the block
E. (1), (2) and (3)
is sliding down the inclined surface with
acceleration ?
42.
(99-IIA-1)
Two objects A and B of equal mass m are
connected by two identical light springs and are
placed on a horizontal smooth surface. A horizontal
force F is applied to B so that the system is in
equilibrium. If the applied force F is suddenly
removed, what are the magnitudes of the
acceleration of each object at the instant when
force F is removed?
A.
0N
B.
18 N
C.
24 N
D.
30 N
E.
32 N
AL-MC-Revision / p.12
44.
(99-IIA-3)
46.
(00-IIA-1)
The above figure shows an open wagon moving
Two books A and B are placed on a horizontal table
with negligible resistance in vertically falling rain.
surface as shown. A horizontal force F is applied to
An appreciable amount of rain falls into the wagon
A but the system remains stationary. Which of the
and accumulates there,. What are the effects of the
following statements is/are correct?
accumulating rain on the speed, momentum and
kinetic energy of the wagon? (Ignore the effects of
(1) The frictional force acting on B by the table
the rain drops hitting the front of the wagon.)
surface is greater than F.
(2) The frictional force acting on A by B is towards
Speed
momentum
kinetic energy
the left.
(3) The system would remain stationary if F is
45.
A.
decreased
unchanged
decreased
applied to B instead.
B.
decreased
unchanged
unchanged
C.
decreased
decreased
decreased
A.
(1) only
D.
unchanged
unchanged
unchanged
B.
(3) only
E.
unchanged
increased
increased
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
(99-IIA-5)
47.
(00-IIA-2)
In which of the following situations is the
magnitude of the normal reaction of the supporting
surface always equal to the weight of the body?
The above graph shows the variation of kinetic
energy E with the square of velocity v of a moving
(1)
mass m. What is the momentum of the mass when
it is moving at a speed of 2 ms 1 ?
A ball bouncing vertical on a horizontal
ground is in contact with the ground.
(2)
An astronaut in a spacecraft which performs
circular motion around the earth.
A.
1 Ns
(3)
A boy standing in a lift which is moving
B.
2 Ns
C.
4 Ns
D.
8 Ns
A. (1) only
E.
16 Ns
B. (3) only
vertically upward with a uniform velocity.
C. (1) and (2) only
D. (2) and (3) only
E. (1), (2) and (3)
AL-MC-Revision / p.13
48.
(00-IIA-4)
51.
(00-IIA-7)
A student holds one end of a string to which a
block of mass 8 kg is tied at the other end. He
raises the block with an acceleration by pulling the
string in an upward direction. If the maximum
tension that the string can withstand is 120 N, find
the maximum acceleration of the block before the
string breaks.
A.
5.0 ms-2
B.
-2
C.
D.
E.
7.5 ms
A light spring is fixed to the bottom of a vertical
tube. A ball is released from rest at a height h
10.0 ms
-2
above the upper end of the spring as shown. After
12.5 ms
-2
rebounding several times the ball eventually comes
15.0 ms
-2
to rest and stays on top of the spring. Assume all
contact surfaces are smooth and the spring obeys
49.
(00-IIA-5)
Hooke’s law throughout. Which of the following
A trolley of mass 0.5 kg moves with a certain
statements is/are correct?
acceleration down a runway which is inclined to
the horizontal at 15o. If the angle of inclination is
(1)
o
increased to 20 , the acceleration of the trolley
would be doubled. Find the average frictional force,
proportional to the mass of the ball.
(2)
assuming the same in both cases, acting on the
trolley.
The compression of the spring is
The compression of the spring is independent
of the height h.
(3)
The gravitational potential energy lost by the
ball is equal to the strain energy stored in the
50.
A.
0.72 N
B.
0.80 N
C.
0.88 N
A.
(1) only
D.
0.96 N
B.
(3) only
E.
1.04 N
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
(00-IIA-6)
Two objects A and B of masses m and 2m
respectively are initially at rest on a smooth,
horizontal surface. If each of them is acted upon by
the same force for the same period of time, the
ratio of the gain in kinetic energy of A to that of B
is
A.
2:1
B.
1:2
C.
1:1
D.
1:4
E.
4:1
spring.
AL-MC-Revision / p.14
52.
(01-IIA-1)
54. (01-IIA-8)
A block rests on a rough inclined plane. Which of
the following diagrams correctly shows the lines of
application of all the forces acting on the block?
(The dot
 represents the center of mass of the
block.)
The figure shows a swinging simple pendulum,
starting from a point higher than P. Which of the
following forces is/are acting on the pendulum bob
when it is at P? (Neglect air resistance)
(1) the weight of the bob
(2) a force exerted by the string pointing
towards O
(3) a third force along the direction of
motion of the bob
53. (01-IIA-5)
An object accelerates uniformly along a straight
A.
(1) only
B.
(3) only
C.
(1) and (2 only
D.
(2) and (3) only
E.
(1) , (2) and (3)
55. (02-IIA-1)
line from X to Z. It passes X and Z with speed u and
Two identical blocks X and Y
v respectively. What is its speed when it passes Y,
are connected by a light spring
which is the mid-point of XZ?
and the system is suspended
from a fixed support by a light
A.
u2  v2
2
B.
uv
cord as shown. The system is in
static equilibrium. If the cord is
suddenly cut, what is the
magnitude of the acceleration
of each block at that instant?
C.
2uv
uv
Acceleration of X
Acceleration of Y
A.
g
g
D.
uv
2
B.
g
2g
C.
zero
g
E.
It cannot be found as the distance
D.
zero
2g
between X and Z is not known.
56.
(02-IIA-2)
AL-MC-Revision / p.15
Two small identical objects P and Q are released
from rest from the top of a building 80 m above the
ground. Q is released 1 s after P. Neglecting air
resistance,
what
is
the
maximum
vertical
separation between P and Q in the air?
A.
5m
B.
10 m
C.
35 m
D.
45 m
A block of mass m falls from rest at A onto a
vertical light spring of force constant k firmly
57.
(02-IIA-3)
fixed to the ground. When the block reaches
The SI unit of length, metre, is defined as n times
B, it starts to compress the spring until it
the wavelength of a certain orange-red light
reaches the lowest position C as shown.
emitted from a krypton-86 atom. The number n is
Neglecting air resistance and considering the
of the order
motion of the block from A to C, which of the
following statements is/are correct?
A.
104
B.
106
C.
10
8
10
10
D.
(1)
kinetic energy of the block is at a
maximum when it is at B
(2)
The resultant force acting on the block
is zero when it sis at C
(3)
The maximum compression of the
mg
spring is greater that k
58. (02-IIA-4)
59.
A.
(1) only
B.
(3) only
C.
(1) and (2) only
D.
(2) and (3) only
(02-IIA-5)
AL-MC-Revision / p.16
61.
(02-IIA-7)
The impulse experienced by an object is equal to
its change in
A bob of mass m is suspended from a fixed
A.
momentum
B.
kinetic energy
C.
velocity
D.
acceleration
support by a light string. A force F is applied to
the bob (F is not shown in the figure) so that the
62.
(03-IIA-1)
string makes an angle with the vertical. What is
the minimum value of F required to keep the
bob in static equilibrium as shown?
A.
mgsin
B.
C.
D.
60.
mgsin2
A uniform flexible chain of mass m is hung
between two fixed supports X and Y at the
same horizontal level as shown. The chain
makes an angle  with the horizontal at each
support. Find the tension in the chain at its
lowest point.
(02-IIA-6)
A.
B.
P, Q and R are three identical spheres moving with
the same speed along a smooth horizontal track.
C.
They undergo head-on elastic collisions with spheres
X, Y and Z respectively which are initially at rest.
After collision, P continues to move in its original
direction, Q becomes stationary while R reverses its
motion. After collision, which sphere (X, Y and Z)
has the greatest magnitude of
(1)
momentum
(2)
kinetic energy
(1)
(2)
A.
Y
Z
B.
Y
Y
C.
Z
X
D.
Z
Y
D.
mg
2
mg
2 sin 
mg
2 cos 
mg
2 tan 
AL-MC-Revision / p.17
63. (03-IIA-2)
Two wedge shaped blocks, each of mass m,
are placed on a smooth horizontal surface as
shown. A horizontal force F is applied to one
of the blocks so that the two blocks move
together to the left with constant acceleration.
What is the maximum value of F so that the
blocks are moving without relative slipping?
(Assume all contact surface are smooth.)
A.
2 mg
B.
3mg
C.
2mg
D.
65. (03-IIA-4)
The two arms of a beam balance are of
slightly different lengths. An unknown mass is
weighted first on the left pan and then on the
right pan. The two measurements are m1 and
m2 respectively. The actual mass is
A.
B.
m1 m 2
2
m1  m 2
2
C.
D.
2
2
m1 m 2
66. (03-IIA-5)
mg
64. (03-IIA-3)
The figure shows part of the stroboscopic
picture of a particle initially projected
horizontally into the air. The side of each
square of the grid is 5cm long. Estimate the
frequency of the strobe lamp used. (Neglect
air resistance.)
A light spring is fixed to a block Q which rests
on a horizontal surface as shown. Block P is
moving with constant velocity towards Q and
makes a head-on elastic collision with Q.
After the collision, P reverses its direction of
motion, while Q moves to the right. All
contact surfaces are smooth. When will the
spring be under a state of maximum
compression?
A.
B.
C.
A.
B.
C.
D.
(m 1  m 2 )
2
5.8 Hz
7.1 Hz
10.0 Hz
12.5 Hz
D.
When the two blocks move with the
same velocity.
When block P is momentarily at rest.
When block P starts to reserves its
direction of motion.
When block Q starts to move to the
right.
AL-MC-Revision / p.18
67. (03-IIA-6)
A bullet is shot through a wooden block along
the horizontal direction XY. Which of the
following graphs shows the variation of the
horizontal speed v of the bullet with distance d
along XY? (Neglect air resistance.)
If the thread is suddenly cut, what are the direction
and magnitude of the acceleration of the object at
that instant?
Direction
Magnitude
A.



A.

C.
D.


I

II
II



gsin 
gtan 
gsin 
gtan 
B.
69. (04-IIA-2)
C.
D.
68. (04-IIA-1)
A small object at point O is kept in static
equilibrium by a horizontal thread OA and a
light spring OB which makes an angle with
the vertical as shown.
Two spheres A and B of the same size, which
have masses m and M respectively. A moves
horizontally with a speed u and makes a
head-on elastic collision with B, which rests
on a smooth horizontal surface a shown.
Referring to each of the following description
about B, how is m compared with M?
(1) B attains the greatest kinetic energy after
collision
(2) B attains the greatest magnitude of
momentum after collision
(3) B attains the greatest speed after
collision
A.
B.
C.
D.
(1)
M=m
M=m
M=m
M<<m
(2)
M=m
M<<m
M>>m
M>>m
(3)
M<<m
M>>m
M<<m
M<<m
AL-MC-Revision / p.19
70. (04-IIA-5)
71. (05-IIA-1)
Figure (1) shows a block of mass m suspended by a
light spring. The extension of the spring is e. The
spring is then cut into two identical parts and
connected in parallel as shown in Figure (2). If a
block of mass 2m is suspended by this set-up as
shown, what is the extension of each spring?
A. 2e
B. e
C. e/2
D.
72.(05-IIA-2)
e/4
AL-MC-Revision / p.20
73.(05-IIA-3)