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Higher Physics: Mechanics and the properties of matter

Summary Notes
Vectors

Page 2

Equations of motion

Page 7

Newton’s Second Law, energy and Power

Page 14

Momentum and Impulse

Page 18

Density and pressure

Page 26

Gas Laws

Page 30

Vectors
A physical quantity is a measurable quantity. Physics is about the relationships between physical quantities.
There are two kinds of physical quantity. One consists of a number of units, the other consists of a number of units in a direction. They have to be recognised and treated differently. Scalar A scalar quantity is a physical quantity which is completely defined by its magnitude. Scalar quantities are combined using simple arithmetic.
Vector A vector quantity is a physical quantity which is completely defined by its magnitude and direction.
Vector quantities are added together in triangles.

N
SCALARS
distance

Distance / displacement

acceleration

energy

force

time

Vectors are represented in magnitude
(scaled) and direction by arrows.

velocity

mass

10 N

displacement

speed

5 km

VECTORS

momentum

distance : A distance is simply the length of a journey. displacement : displacement is the distance moved in a given direction.

Speed / velocity

speed : The speed of an object is the rate at which distance is increasing. velocity : velocity is the rate at which displacement is changing.
Velocity should always be quoted with a direction.

Average speed =

total distance covered time taken

Average velocity =

resultant displacement time taken

Higher Physics : Mechanics and the Properties of Matter

Page 1

Finding the Resultant vector.
The combined effect of a number of vectors can be found by adding the vectors together.
The result of the addition is the resultant vector.
The resultant vector is a single vector which represents the combined effect of a number of vectors and can be used to calculate

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