P2, General (2021)
P2, General (2021)
1 A student has a measuring cylinder containing water and also has a balance.
Which of these could she use to find the volume of a small metal sphere?
2 A ball hits a bat with a velocity of 30 m / s, and leaves the bat travelling with a velocity of 20 m / s in
the opposite direction. The ball is in contact with the bat for 0.10 s.
What is the magnitude of the acceleration of the ball whilst it is in contact with the bat?
A 3.0 m / s B 5.0 m / s C 50 m / s D 60 m / s
5 A small bottle has a mass of 20 g when empty. The volume of the bottle is 10 cm3.
6 An object of mass 0.80 kg is moving in a straight line at a velocity of 2.0 m / s. A force is exerted
on the object, in the direction of motion, for a period of 1.0 minute and the velocity of the object
increases to 6.0 m / s.
P
Z X
Which statement about the acceleration of the object when it is at point P is correct?
8 An object is pivoted at point P. A student ties a length of string to a peg on the object. He pulls
the string with a force F.
string
s t
peg
r
q P
object
9 A gas molecule strikes the wall of a container. The molecule rebounds with the same speed.
wall wall
gas molecule gas molecule
What happens to the kinetic energy and what happens to the momentum of the molecule?
A changes changes
B changes stays the same
C stays the same changes
D stays the same stays the same
The box gains 30 J of kinetic energy and 10 J of thermal energy is produced by the friction
between the box and the surface.
A 10 J B 20 J C 30 J D 40 J
The crane then lifts a lorry, which has 3.0 times the weight of the car, through 0.25 of the distance
in 0.50 of the time.
A 3P B 3P C 8P D 6P
8 2 3
mm
500
from 400
gas supply
300
200
100
mercury
0
6.0 cm
X
Z
4.0 cm Y 8.0 cm
On which face must the box rest in order to exert the least pressure?
A face X
B face Y
C face Z
D The pressure is the same for all the faces.
Which property of the stone can be found by lowering it into a measuring cylinder half-filled with
water?
A length
B mass
C volume
D weight
speed velocity
A scalar scalar
B scalar vector
C vector scalar
D vector vector
3 Four balls with different masses are dropped from the heights shown.
A B C D
1.0 kg
2.0 kg
3.0 kg
4.0 m
4.0 kg
3.0 m
2.0 m
1.0 m ground
4 An object of mass 2.0 kg is taken from the Earth, where the gravitational field strength is 10 N / kg,
to the Moon, where the gravitational field strength is 1.6 N / kg.
weight on weight on
the Earth / N the Moon / N
A 0.20 0.80
B 0.20 3.2
C 20 0.80
D 20 3.2
6 The extension–load graph for a spring is shown. The unstretched length of the spring is 17.0 cm.
3
extension / cm
0
0 1 2 3 4
load / N
When an object is suspended from the spring, the length of the spring is 19.2 cm.
7 A cart has a mass of 10 kg. A boy pushes on the cart horizontally with a force of 50 N. The cart
accelerates at 0.50 m / s2.
A 5.0 N B 20 N C 30 N D 45 N
8 A ball has a mass of 2.0 kg. The ball approaches a wall at a speed of 3.0 m / s and rebounds at a
speed of 1.0 m / s.
wall
3.0 m / s
1.0 m / s
9 Which situation involves no work being done and no energy being transferred?
10 A student suggests that there are several ways of transferring energy to a small, stationary block
of iron on a smooth table. He makes the following suggestions.
1 Heat it.
2 Shine light on it.
3 Pass a current through it.
The surface of the book in contact with a table has dimensions 0.10 m 0.20 m.
mercury
1 Which piece of apparatus is the most suitable for measuring the mass of a pencil sharpener?
A digital balance
B measuring cylinder
C newton meter
D ruler
2 Four balls with different masses are dropped from the heights shown.
A B C D
1.0 kg
2.0 kg
3.0 kg
4.0 m
4.0 kg
3.0 m
2.0 m
1.0 m ground
3 A ball is thrown vertically upwards through the air. Air resistance acts on the ball.
A B
speed speed
0 0
0 time 0 time
C D
speed speed
0 0
0 time 0 time
A stone of mass 94 g is lowered into the water so that it is fully submerged as shown.
cm3
100
90
80
70
90
60
50
80
40
30 70
20
10
6 The extension–load graph for a spring is shown. The unstretched length of the spring is 17.0 cm.
3
extension / cm
0
0 1 2 3 4
load / N
When an object is suspended from the spring, the length of the spring is 19.2 cm.
When the satellite is in the position shown, in which direction does the resultant force act upon it?
direction of motion
of satellite
Earth D B
satellite
C
A tennis player hits the tennis ball with a tennis racket. The tennis ball has a velocity of 25 m / s
when it hits the racket.
The velocity of the tennis ball when it leaves the player’s racket is 15 m / s in the opposite direction
from its approaching direction.
For how long is the tennis ball in contact with the tennis racket?
10 A stone is released from rest from a high building on Earth. Air resistance is negligible.
A 7.1 m / s B 10 m / s C 50 m / s D 100 m / s
11 The power input to an electric motor is 400 W. The efficiency of the motor is 85%.
A 60 W B 85 W C 340 W D 470 W
The surface of the book in contact with a table has dimensions 0.10 m 0.20 m.
13 A horizontal metal plate of area 0.50 m2 lies at the bottom of a lake at a depth of 40 m.
The density of water is 1000 kg / m3 and the gravitational field strength g is 10 N / kg.
What is the downward force acting on the plate due to the water?
A 20 kN B 80 kN C 200 kN D 800 kN
plastic rod
0 cm 10 20
2 Four balls with different masses are dropped from the heights shown.
A B C D
1.0 kg
2.0 kg
3.0 kg
4.0 m
4.0 kg
3.0 m
2.0 m
1.0 m ground
5.0 m
4.0 m 4.0 m
6 The extension–load graph for a spring is shown. The unstretched length of the spring is 17.0 cm.
3
extension / cm
0
0 1 2 3 4
load / N
When an object is suspended from the spring, the length of the spring is 19.2 cm.
direction of motion
8 Object X moves to the right along a frictionless surface towards a stationary object Y, as shown.
direction
of travel
X Y
They make a noise as they collide and then both objects move to the right.
A W E 100%
W
B W 100%
E
C E W 100%
E
D E W 100%
W
11 A builder lifts 30 bricks from the ground onto a platform 2.0 m high.
What is the work done against gravity by the builder in lifting the bricks onto the platform?
The surface of the book in contact with a table has dimensions 0.10 m 0.20 m.
Which equation gives the pressure p due to the water at the bottom of the tank?
A p = h g B p = mgh C p = m g D p = m h
1 Which instrument is most suitable for measuring the thickness of a single sheet of paper?
A 15 cm rule
B balance
C metre rule
D micrometer screw gauge
A B
distance distance
0 0
0 time 0 time
C D
distance distance
0 0
0 time 0 time
3 An object has a weight of 6.4 N on the Earth where the gravitational field strength is 10 N / kg.
Which row states the mass and the weight of the object on the Moon where the gravitational field
strength is 1.6 N / kg?
weight on
mass / kg
the Moon / N
A 0.64 1.0
B 0.64 6.4
C 4.0 1.0
D 4.0 6.4
5 A 20 m long, uniform bridge of weight 100 kN is supported at each end by pillars, as shown.
T1 T2
20 m
bridge
pillar 24 kN pillar
100 kN
What are the values of T1 and T2 when a van of weight 24 kN is on the bridge, 5 m from the
left-hand pillar?
T1 / kN T2 / kN
A 56 68
B 62 62
C 68 56
D 74 50
7 What is the relationship between the impulse acting on an object and the change in momentum of
the object?
change in momentum
C impulse =
time
change in momentum
D impulse =
mass
9 A motor of power P exerts a force F on an object. The object moves a distance d during the time t
that the force acts.
A t= F B t = Fd C t = Pd D t= P
Pd P F Fd
10 A scientist uses an electric motor to lift a load through a vertical distance of 2.0 m.
He then increases the input power to the motor and repeats the experiment. The efficiency of the
motor does not change.
Which row correctly describes the effect that this has on the useful work done lifting the load and
the time taken to lift it?
A decreases decreases
B stays the same decreases
C decreases stays the same
D stays the same stays the same
11 Four containers are filled to the top with the same liquid. The base of each container is circular.
Which container has the greatest pressure exerted by the liquid at its base?
A B C D
A B
distance distance
0 0
0 time 0 time
C D
distance distance
0 0
0 time 0 time
A Object X is in a larger gravitational field than object Y and both have the same weight.
B Object X shows a greater resistance to change in motion than object Y and both experience
the same resultant force.
C Object X has a lower density than object Y and both occupy the same volume.
D Object X moves at a greater speed than object Y and both possess the same kinetic energy.
1 2 3
Hot gases are ejected downwards over a very short period of time.
9 A box of mass m slides down a slope of length l against a frictional force F. It descends a vertical
height d.
direction
of motion
F
l
mass m
stop
As the box slides down the slope, it loses gravitational potential energy and it does work against
the friction.
Which row gives the loss in gravitational potential energy and the work done against friction?
A mgd Fl
B mgd Fd
C mgl Fl
D mgl Fd
10 A rope, connected to a pulley system and motor, is used to lift different objects through different
distances. The time taken to lift each object is the same. The diagrams are not to scale.
A B
platform platform
motor motor
2m 3m
10 kg 5 kg
C D
platform platform
motor motor
1m 3m
10 kg 2 kg
11 Which equation can be used to calculate the pressure at a depth h beneath the surface of a
liquid?
h
A p= h B p= C p = hg D p= 1
g g h g
D measuring the moment used to turn a screw that is known to be about 3 10–6 N m
2 The graph shows how the speed of a car varies with time at the start of a journey.
6
speed 5
m/s
4
3
2
1
0
0 1 2 3 4
time / s
Which distance–time graph represents the motion of the car over the same time period?
A B
12 12
10 10
distance / m distance / m
8 8
6 6
4 4
2 2
0 0
0 1 2 3 4 0 1 2 3 4
time / s time / s
C D
6 6
5 5
distance / m distance / m
4 4
3 3
2 2
1 1
0 0
0 1 2 3 4 0 1 2 3 4
time / s time / s
0 10 50 60 100
cm
P Q
7 A cricket ball has a mass of 0.16 kg. The ball travels at 30 m / s. The ball is hit by a bat with a force
of 10 800 N. After being hit, the ball moves off at 30 m / s in the opposite direction.
30 m / s
30 m / s
For how long was the ball in contact with the bat?
9 Which energy resource has the Sun as its only source of energy?
A geothermal
B nuclear
C oil
D tidal
10 A man, attached to an elastic cord, jumps from a platform. He falls 60 m before starting to rise.
The length of the unextended cord is 30 m.
A B C D
30 m
45 m
60 m
P Q R
h h h
wooden block
supporting R
Students are asked to compare the water pressure at the bottom of each container.
Student 1 says that the pressure at base R is more than the pressure at base P.
Student 2 says that the pressure at base Q is less than the pressure at base P.
Student 3 says that the pressures at all three bases are the same.