general22 [29 marks]
1.
[Maximum mark: 1]
A car travels clockwise around a circular track of radius R. What is the
magnitude of displacement from X to Y?
23M.1.SL.TZ1.3
A. R 3π
2
B. R π2
C. R√2
D. R
Markscheme
C
[1]
2.
[Maximum mark: 1]
A car accelerates uniformly. The car passes point X at time t1 with
velocity v1 and point Y at time t2 with velocity v2. The distance XY is s.
23M.1.SL.TZ1.4
The following expressions are proposed for the magnitude of its
acceleration a:
I.
a =
2s
2
(t2−t1)
2
2
II. a =
v2 −v1
III. a =
v2−v1
2s
t2−t1
Which is correct?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
Markscheme
C
[1]
3.
[Maximum mark: 1]
A ball is projected at an angle to the horizonal on Earth reaching a
maximum height H and a maximum range R. The same ball is projected
at the same angle and speed on a planet where the acceleration due to
gravity is three times that on Earth. Resistance effects are negligible.
23M.1.SL.TZ1.5
What is the maximum range and the maximum height reached on that
planet?
Maximum range
Maximum height
reached
R
H
3
3
A.
B.
R
C.
R
D.
R
H
3
9
H
3
H
9
[1]
Markscheme
A
4.
[Maximum mark: 0]
A ball falls with terminal velocity through air. What is correct about the
kinetic energy and the total energy of the ball?
Kinetic energy
Total energy
A.
constant
decreases
B.
increases
decreases
C.
constant
constant
D.
increases
constant
Markscheme
A
23M.1.SL.TZ1.6
5.
[Maximum mark: 1]
A ball attached to a string is made to rotate with constant speed along
a horizontal circle. The string is attached to the ceiling and makes an
angle of θ ° with the vertical. The tension in the string is T.
23M.1.SL.TZ1.7
What is correct about the horizontal component and vertical
component of the net force on the ball?
Horizontal component
Vertical component
A.
T cos θ
T sin θ
B.
T sin θ
T cos θ
C.
T cos θ
0
D.
T sin θ
0
Markscheme
D
[1]
6.
[Maximum mark: 1]
A block of mass 2.0 kg accelerates uniformly at a rate of 1.0 m s−2 when
a force of 4.0 N acts on it.
The force is doubled while resistive forces stay the same. What is the
block’s acceleration?
23M.1.SL.TZ1.8
A. 4.0 m s−2
B. 3.0 m s−2
C. 2.0 m s−2
D. 1.0 m s−2
Markscheme
B
[1]
7.
[Maximum mark: 1]
23M.1.SL.TZ1.9
The input power of an electric motor is 200 W. It is used to raise a mass
of 10 kg at constant speed.
If the efficiency of the motor is 40 %, through what height will the mass
be raised in 1 second?
A. 0.5 m
B. 0.8 m
C. 1.2 m
D. 2.0 m
Markscheme
B
[1]
8.
[Maximum mark: 1]
23M.1.SL.TZ1.10
A tennis ball is dropped from rest from a height. It hits the ground and
bounces back to a lower height. Air resistance is negligible.
What is correct about the collision of the tennis ball with the ground?
A. Elastic because momentum of the system is conserved
B. Elastic because the kinetic energy of the system is conserved
C. Inelastic because momentum of the system is not conserved
D. Inelastic because the kinetic energy of the system is not conserved
Markscheme
D
[1]
9.
[Maximum mark: 1]
An electron enters a region of uniform magnetic field at a speed v. The
direction of the electron is perpendicular to the magnetic field. The
path of the electron inside the magnetic field is circular with radius r.
23M.1.SL.TZ1.21
The speed of the electron is varied to obtain different values of r.
Which graph represents the variation of speed v with r?
[1]
Markscheme
A
10.
[Maximum mark: 1]
A stuntman rides a motorcycle on the inside surface of a cylinder.
23M.1.SL.TZ1.22
Which is the correct free-body diagram showing all the forces acting
on the cyclist at that position?
[1]
Markscheme
C
11.
[Maximum mark: 1]
23M.1.SL.TZ2.2
A toy car of mass 2 kg is at rest on a horizontal surface. A force of 30 N is
applied to the toy car at time t = 0. Frictional forces of 10 N act on the
toy car throughout its motion.
What is the speed of the toy car at t = 2 s?
A. 10 m s−1
B. 20 m s−1
C. 30 m s−1
D. 40 m s−1
Markscheme
B
[1]
12.
[Maximum mark: 1]
A stone is thrown vertically up from the top of a cliff with a velocity v at
time t = 0. Air resistance is negligible.
23M.1.SL.TZ2.3
What is the variation with time of the velocity of the stone until it hits
the ground?
[1]
Markscheme
A
13.
[Maximum mark: 1]
Ball 1 is released at rest from the top of a building. At the same instant
in time, Ball 2 is projected horizontally from the same height. The effect
of air resistance is negligible.
23M.1.SL.TZ2.4
Which statement is true?
A. The velocity on impact with the ground is the same for both balls.
B. The time taken to hit the ground is greater for Ball 2.
C. The speed on impact with the ground is the same for both balls.
D. The velocity on impact with the ground is greater for Ball 2.
Markscheme
D
[1]
14.
[Maximum mark: 1]
A variable force with a maximum Fmax is applied to an object over a
time interval T. The object has a mass m and is initially at rest.
23M.1.SL.TZ2.5
What is the speed of the object at time T?
A.
FmaxT
B.
FmaxT
2m
m
C. FmaxTm
D. 2FmaxTm
Markscheme
A
[1]
15.
[Maximum mark: 1]
The angle θ between a ramp and a horizontal surface slowly increases
from zero. An object on the ramp does not slide as θ increases.
23M.1.SL.TZ2.6
The frictional force on the object is
A. constant.
B. negligible.
C. proportional to cos θ.
D. proportional to sin θ.
Markscheme
D
[1]
16.
[Maximum mark: 1]
An object of mass M is accelerated vertically upwards by a motor at a
constant acceleration.
The object is initially at rest and reaches a vertical speed of 4.0 m s−1 in
2.0 s.
23M.1.SL.TZ2.7
What is the average power output of the motor?
A. 8M
B. 24M
C. 32M
D. 48M
Markscheme
B
[1]
17.
[Maximum mark: 1]
An object is released from rest at X and slides to Y. The vertical distance
between X and Y is 10 m. During the motion, 20 % of the object’s initial
gravitational potential energy is lost as friction.
23M.1.SL.TZ2.8
What is the speed of the object at Y?
A.
16
√g
B. 2√g
C. 4√g
D. 8g
Markscheme
C
[1]
18.
[Maximum mark: 1]
23M.1.SL.TZ2.23
A mass on the end of a string is rotating on a frictionless table in
circular motion of radius R1 and undergoes an angular displacement of
θ in time t.
The string tension is kept constant, but the angular displacement of the
mass is increased to 2θ in time t. The radius of the motion changes to R2.
What is R2?
A.
R1
4
B. 2R1
C. 4R1
D. R1 × R1
Markscheme
A
[1]
19.
[Maximum mark: 1]
A car engine has a useful power output of 20 kW and an efficiency of
50 %. The engine consumes 1 × 10−5 m3 of fuel every second. What is
the energy density of the fuel?
23M.1.SL.TZ2.25
A. 2 MJ m−3
B. 4 MJ m−3
C. 2 GJ m−3
D. 4 GJ m−3
Markscheme
D
[1]
20.
[Maximum mark: 1]
The kinetic energy of a body is determined from measurements of its
momentum p and its mass m.
23M.1.HL.TZ1.2
The percentage uncertainties in the measurements are:
p
±3%
m
±4%
What is the percentage uncertainty in the kinetic energy?
A. 7 %
B. 10 %
C. 13 %
D. 14 %
Markscheme
B
[1]
21.
[Maximum mark: 1]
A car travels clockwise around a circular track of radius R. What is the
magnitude of displacement from X to Y?
23M.1.HL.TZ1.3
A. R 3π
2
B. R π2
C. R√2
D. R
Markscheme
C
[1]
22.
[Maximum mark: 1]
A stone of mass m is projected vertically upwards with speed u from the
top of a cliff. The speed of the stone when it is just about to hit the
ground is v.
23M.1.HL.TZ1.4
What is the magnitude of the change in momentum of the stone?
A. m(
v+u
B. m(
v−u
2
2
)
)
C. m(v + u)
D. m(v − u)
Markscheme
C
[1]
23.
[Maximum mark: 1]
A car accelerates uniformly. The car passes point X at time t1 with
velocity v1 and point Y at time t2 with velocity v2. The distance XY is s.
23M.1.HL.TZ1.5
The following expressions are proposed for the magnitude of its
acceleration a:
I.
a =
2s
2
(t2−t1)
2
2
II. a =
v2 −v1
III. a =
v2−v1
2s
t2−t1
Which is correct?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
Markscheme
C
[1]
24.
[Maximum mark: 1]
A ball attached to a string is made to rotate with constant speed along
a horizontal circle. The string is attached to the ceiling and makes an
angle of θ ° with the vertical. The tension in the string is T.
23M.1.HL.TZ1.6
What is correct about the horizontal component and vertical
component of the net force on the ball?
Horizontal component
Vertical component
A.
T cos θ
T sin θ
B.
T sin θ
T cos θ
C.
T cos θ
0
D.
T sin θ
0
Markscheme
D
[1]
25.
[Maximum mark: 1]
A block of mass 2.0 kg is placed on a trolley of mass 5.0 kg, moving
horizontally. A force of 8.0 N is applied to the block which slides on the
surface of the trolley. The frictional force between the trolley and the
ground is zero.
23M.1.HL.TZ1.7
The trolley accelerates at a rate of 1.0 m s−2. What is the coefficient of
dynamic friction between the block and the trolley?
A. 0.05
B. 0.15
C. 0.25
D. 0.35
Markscheme
C
[1]
26.
[Maximum mark: 1]
23M.1.HL.TZ1.8
The input power of an electric motor is 200 W. It is used to raise a mass
of 10 kg at constant speed.
If the efficiency of the motor is 40 %, through what height will the mass
be raised in 1 second?
A. 0.5 m
B. 0.8 m
C. 1.2 m
D. 2.0 m
Markscheme
B
[1]
27.
[Maximum mark: 1]
23M.1.HL.TZ1.18
An electron enters a region of uniform magnetic field at a speed v. The
direction of the electron is perpendicular to the magnetic field. The
path of the electron inside the magnetic field is circular with radius r.
The speed of the electron is varied to obtain different values of r.
Which graph represents the variation of speed v with r?
[1]
Markscheme
A
28.
[Maximum mark: 1]
A stuntman rides a motorcycle on the inside surface of a cylinder.
23M.1.HL.TZ1.20
Which is the correct free-body diagram showing all the forces acting
on the cyclist at that position?
[1]
Markscheme
C
29.
[Maximum mark: 1]
Which law is equivalent to the law of conservation of energy?
23M.1.HL.TZ1.33
A. Coulomb’s law
B. Ohm’s Law
C. Newton’s first law
D. Lenz’s law
Markscheme
D
[1]
30.
[Maximum mark: 1]
A rocket travels a distance of 3 km in 10 s.
the
23M.1.HL.TZ2.1
speed
of
the
rocket
What is the order of magnitude of the speed of light in a vacuum ?
A. −5
B. −6
C. −7
D. −8
[1]
Markscheme
B
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