Which of the following is an SI base unit?
Current
Gram
Kelvin
Volt
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1.1 Physical Quantities & Units
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1.1 Physical Quantities & Units
Which of the following is an SI base unit?
Current
Gram
Kelvin
Volt
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Which definition is correct and uses only quantities rather than units?
Density is mass per cubic metre
Potential difference is energy per unit current
Pressure is force per unit area
Speed is distance travelled per second
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Five energies are listed below.
5kJ
5mJ
5MJ
5nJ
Starting with the smallest first, what is the order of increasing magnitude of these energies?
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What is a reasonable estimate of the average gravitational force acting on a fully grown woman standing on the Earth?
60 N
250 N
350 N
650 N
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Which product-pair of metric prefixes has the greatest magnitude?
pico × mega
nano × kilo
micro × giga
milli × tera
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Which pair contains one vector and one scalar quantity?
A | Displacement | Acceleration |
B | Force | Kinetic energy |
C | Momentum | Velocity |
D | Power | Speed |
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Which statement includes a correct unit?
Energy = 7.8 Ns
Force = 3.8 Ns
Momentum = 6.2 Ns
Torque = 4.7 Ns
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Which quantity can be measured in electronvolts (eV)?
Electric charge
Electric potential
Energy
Power
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Two physical quantities P and Q are added together. The sum of P and Q is R, as shown in the diagram.
Which quantity could be represented by P and by Q?
Kinetic energy
Power
Speed
Velocity
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The arrow represents the vector R.
Which diagram does not represent R as two perpendicular components?
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The average kinetic energy E of a gas molecule is given by the equation
where T is the absolute (kelvin) temperature.
What are the SI base units of k?
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The speed of an aeroplane in still air is 200 km h-1. The wind blows from the west at a speed of 85.0 km h-1.
In which direction must the pilot steer the aeroplane in order to fly due north?
23.0° east of north
23.0° west of north
25.2° east of north
25.2° west of north
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The units of all physical quantities can be expressed in terms of SI base units.
Which pair contains quantities with the same base units?
Force and momentum
Pressure and Young modulus
Power and kinetic energy
Mass and weight
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Vectors P and Q are drawn to scale.
Which diagram represents the vector (P – Q)?
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The table contains some quantities, together with their symbols and units.
Quantity | Symbol | Unit |
Gravitational field strength Density of liquid Vertical height Volume of part of liquid |
g ρ h V |
N kg–1 kg m–3 m m3 |
Which expression has the units of energy?
The table contains some quantities, together with their symbols and units.
Quantity | Symbol | Unit |
Gravitational field strength Density of liquid Vertical height Volume of part of liquid |
g ρ h V |
N kg–1 kg m–3 m m3 |
Which expression has the units of energy?
The table contains some quantities, together with their symbols and units.
Quantity | Symbol | Unit |
Gravitational field strength Density of liquid Vertical height Volume of part of liquid |
g ρ h V |
N kg–1 kg m–3 m m3 |
Which expression has the units of energy?
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What is the ratio ?
10-9
10-6
100
103
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Which of the following correctly expresses the volt in terms of SI base units?
AΩ
WA–1
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A vector has magnitude R and perpendicular components P and Q, as shown in the diagram.
Which row correctly describes the perpendicular components?
Vertical component | Horizontal component | |
A B C D |
Q R cos θ R cos θ R sin θ |
sin θ P R sin θ R cos θ |
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For which quantity is the magnitude a reasonable estimate?
Frequency of a radio wave 500p Hz
Mass of an atom 500μg
The Young modulus of a metal 500 kPa
Wavelength of green light 500 nm
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The equation relating pressure and density is
How can both sides of this equation be written in terms of base units?
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The speed v of a liquid leaving a tube depends on the change in pressure ΔP and the density ρ of the liquid. The speed is given by the equation
where k is a constant that has no units.
What is the value of n?
1
2
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Which estimate is realistic?
The kinetic energy of a bus travelling on an expressway is 30,000 J
The power of a domestic light is 300 W
The temperature of a hot oven is 300 K
The volume of air in a car tyre is 0.03 m3
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Which statement is incorrect by a factor of 100 or more?
Atmospheric pressure is about 1 × 105 Pa
Light takes 5 × 102 s to reach us from the Sun
The frequency of ultraviolet light is 3 × 1012 Hz
The life-span of a man is about 2 × 109 s
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The frictional force F on a sphere falling through a fluid is given by the formula
where a is the radius of the sphere, η is a constant relating to the fluid and v is the velocity of the sphere.
What are the units of η ?
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When a constant braking force is applied to a vehicle moving at speed v, the distance d moved by the vehicle as it comes to rest is given by the expression
where k is a constant.
When d is measured in metres and v is measured in metres per second, the constant has a value of k1.
What is the value of the constant when the distance is measured in metres, and the speed is measured in kilometres per hour?
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The drag coefficient Cd is a number with no units. It is used to compare the drag on different cars at different speeds. It is given by the equation
where F is the drag force on the car, ρ is the density of the air, A is the cross-sectional area of the car and v is the speed of the car.
What is the value of n?
1
2
3
4
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Two forces, each of 10 N, act at a point P as shown in the diagram. The angle between the force vectors is 120°
What is the magnitude of the resultant force?
5 N
10 N
17 N
20 N
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Which formula could be correct for the speed v of ocean waves in terms of the density ρ of sea-water, the acceleration of free fall g, the height h of the wave and the wavelength λ?
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The diagrams represent systems of coplanar forces acting at a point. The lengths of the force vectors represent the magnitudes of the forces.
Which system of forces is in equilibrium?
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A glider is descending at a constant speed at an angle of 15° to the horizontal. The diagram shows the directions of the lift L, air resistance R and weight W acting on the glider.
Which vector triangle could represent the forces acting on the glider?
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