Topic 1.3, 2.1 - 2.3 Paper 1
Practice [35 marks]
1. An object is held in equilibrium by three forces of magnitude F, G and H
that act at a point in the same plane.
[1 mark]
Three equations for these forces are
I. F cos θ = G
II. F = G cos θ + H sin θ
III. F = G + H
Which equations are correct?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
2. A river flows north. A boat crosses the river so that it only moves in the
direction east of its starting point.
What is the direction in which the boat must be steered?
[1 mark]
3. Which of the following is a scalar quantity?
A.
B.
C.
D.
[1 mark]
Velocity
Momentum
Kinetic energy
Acceleration
4. A car moves north at a constant speed of 3m s–1 for 20s and then east at [1 mark]
a constant speed of 4m s –1 for 20s. What is the average speed of the car
during this motion?
A. 7.0m s–1
B. 5.0m s–1
C. 3.5m s–1
D. 2.5m s–1
5. A horizontal force F acts on a sphere. A horizontal resistive force kv2 acts [1 mark]
on the sphere where v is the speed of the sphere and k is a constant. What is the
terminal velocity of the sphere?
A.
√ Fk
B. k
F
C. F
k
D.
√ Fk
6. A balloon rises at a steady vertical velocity of 10 m s−1 . An object is
[1 mark]
dropped from the balloon at a height of 40 m above the ground. Air resistance is
negligible. What is the time taken for the object to hit the ground?
10 s
B. 5 s
C. 4 s
D. 2 s
A.
7. A ball falls from rest in the absence of air resistance. The position of the [1 mark]
centre of the ball is determined at one-second intervals from the instant
at which it is released. What are the distances, in metres, travelled by the centre
of the ball during each second for the first 4.0 s of the motion?
A. 5, 10, 15, 20
B. 5, 15, 25, 35
C. 5, 20, 45, 80
D. 5, 25, 70, 150
8. A ball is thrown upwards at an angle to the horizontal. Air resistance is
negligible. Which statement about the motion of the ball is correct?
[1 mark]
A. The acceleration of the ball changes during its flight.
B. The velocity of the ball changes during its flight.
C. The acceleration of the ball is zero at the highest point.
D. The velocity of the ball is zero at the highest point.
9. The graph shows the variation of velocity of a body with time along a
straight line.
[1 mark]
What is correct for this graph?
A. The maximum acceleration is at P.
B. The average acceleration of the body is given by the area enclosed by the
graph and time axis.
C. The maximum displacement is at Q.
D. The total displacement of the body is given by the area enclosed by the graph
and time axis.
10. A sports car is accelerated from 0 to 100 km per hour in 3 s. What is the
acceleration of the car?
A. 0.1 g
B. 0.3 g
C. 0.9 g
D. 3 g
[1 mark]
11. A girl throws an object horizontally at time t = 0. Air resistance can be
ignored. At t = 0.50 s the object travels horizontally a distance x in
metres while it falls vertically through a distance y in metres.
[1 mark]
What is the initial velocity of the object and the vertical distance fallen at t = 1.0
s?
12. A boy throws a ball horizontally at a speed of 15 m s-1 from the top of a
[1 mark]
cliff that is 80 m above the surface of the sea. Air resistance is negligible.
What is the distance from the bottom of the cliff to the point where the ball lands
in the sea?
A. 45 m
B. 60 m
C. 80 m
D. 240 m
13. A runner starts from rest and accelerates at a constant rate throughout a [1 mark]
race. Which graph shows the variation of speed v of the runner with
distance travelled s?
14. An object is projected vertically upwards at time t = 0. Air resistance is
[1 mark]
negligible. The object passes the same point above its starting position at
times 2 s and 8 s.
If g = 10 m s–2, what is the initial speed of the object?
A.
50
B.
30
C.
25
D.
4
15. The distances between successive positions of a moving car, measured at [1 mark]
equal time intervals, are shown.
The car moves with
A.
acceleration that increases linearly with time.
B.
acceleration that increases non-linearly with time.
C.
constant speed.
D.
constant acceleration.
16. A body is held in translational equilibrium by three coplanar forces of
magnitude 3 N, 4 N and 5 N. Three statements about these forces are
[1 mark]
I. all forces are perpendicular to each other
II. the forces cannot act in the same direction
III. the vector sum of the forces is equal to zero.
Which statements are true?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
17. A cube slides down the surface of a ramp at a constant velocity. What is
the magnitude of the frictional force that acts on the cube due to the
surface?
[1 mark]
A. The weight of the cube
B. The component of weight of the cube parallel to the plane
C. The component of weight of the cube perpendicular to the plane
D. The component of the normal reaction at the surface parallel to the plane
18. A block of weight W slides down a ramp at constant velocity. A friction
[1 mark]
force F acts between the bottom of the block and the surface of the ramp.
A normal reaction N acts between the ramp and the block. What is the free-body
diagram for the forces that act on the block?
19. A waiter carrying a tray is accelerating to the right as shown in the image.[1 mark]
What is the free-body diagram of the forces acting on the tray?
20. A book is at rest on a table. What is a pair of action–reaction forces for
this situation according to Newton’s third law of motion?
[1 mark]
21. Three forces act at a point. In which diagram is the point in equilibrium?
[1 mark]
22. A uniform ladder resting in equilibrium on rough ground leans against a
smooth wall. Which diagram correctly shows the forces acting on the
ladder?
[1 mark]
23. A parachutist of total mass 70 kg is falling vertically through the air at a
constant speed of 8 m s–1.
[1 mark]
What is the total upward force acting on the parachutist?
A.
0N
B.
70 N
C.
560 N
D.
700 N
24. The diagram shows the forces acting on a block resting on an inclined
[1 mark]
plane. The angle θ is adjusted until the block is just at the point of sliding.
R is the normal reaction, W the weight of the block and F the maximum frictional
force.
What is the maximum coefficient of static friction between the block and the
plane?
A. sin θ
B. cos θ
C. tan θ
1
D. tan
θ
25. A block of weight W is suspended by two strings of equal length. The
strings are almost horizontal.
[1 mark]
What is correct about the tension T in one string?
A.
T<
W
2
B.
T=
W
2
C. W
2
D. T
<T ⩽W
>W
26. A constant horizontal force F is applied to a block Y. Block Y is in contact [1 mark]
with a separate block X.
The blocks remain in contact as they accelerate along a horizontal frictionless
surface. Y has a greater mass than X. Air resistance is negligible.
Which statement is correct?
A. The force F is equal to the product of the mass of Y and the acceleration of Y.
B. The force that Y exerts on X is less than F.
C. The force that Y exerts on X is less than the force that X exerts on Y.
D. The force that Y exerts on X is equal to F.
27. A student of mass m is in an elevator which is accelerating downwards at [1 mark]
an acceleration a.
What is the reading on the force meter?
A. mg
B. mg − ma
C. mg + ma
D. ma − mg
28. A compressed spring is used to launch an object along a horizontal
[1 mark]
frictionless surface. When the spring is compressed through a distance x
and released, the object leaves the spring at speed v. What is the distance
through which the spring must be compressed for the object to leave the spring at
v
2?
A.
B.
C.
D.
x
4
x
2
x
√2
x√2
29. An object falls from rest from a height h close to the surface of the Moon. [1 mark]
The Moon has no atmosphere.
When the object has fallen to height h
above the surface, what is
4
kinetic energy of the object at h4
gravitational potential energy of the object ath
A.
B.
C.
D.
?
3
4
4
3
9
16
16
9
30. An increasing force acts on a metal wire and the wire extends from an
[1 mark]
initial length l0 to a new length l. The graph shows the variation of force
with length for the wire. The energy required to extend the wire from l0 to l is E.
The wire then contracts to half its original extension.
What is the work done by the wire as it contracts?
A.
0.25E
B.
0.50E
C.
0.75E
D.
E
31. A system that consists of a single spring stores a total elastic potential
[1 mark]
energy Ep when a load is added to the spring. Another identical spring
connected in parallel is added to the system. The same load is now applied to the
parallel springs.
What is the total elastic potential energy stored in the changed system?
A. Ep
Ep
B. 2
Ep
C. 4
Ep
D. 8
32. A car travelling at a constant velocity covers a distance of 100 m in 5.0 s. [1 mark]
The thrust of the engine is 1.5 kN. What is the power of the car?
A.
B.
C.
D.
0.75 kW
3.0 kW
7.5 kW
30 kW
33. An object, initially at rest, is accelerated by a constant force. Which
graphs show the variation with time t of the kinetic energy and the
variation with time t of the speed of the object?
[1 mark]
34. A student of weight 600N climbs a vertical ladder 6.0m tall in a time of
8.0s. What is the power developed by the student against gravity?
[1 mark]
A. 22W
B. 45W
C. 220W
D. 450W
35. An object of mass 2kg is thrown vertically downwards with an initial
kinetic energy of 100J. What is the distance fallen by the object at the
instant when its kinetic energy has doubled?
A. 2.5m
B. 5.0m
C. 10m
D. 14m
[1 mark]
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