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Physics Equation List :Form 4 Introduction to Physics

Relative Deviation

Mean DeviationRelative Deviation = 100%Mean Value × Prefixes

Prefixes Value Standard form Symbol

Tera 1 000 000 000 000 1012 T Giga 1 000 000 000 109 G Mega 1 000 000 106 M Kilo 1 000 103 k deci 0.1 10-1 d centi 0.01 10-2 c milli 0.001 10-3 m micro 0.000 001 10-6 μ nano 0.000 000 001 10-9 n pico 0.000 000 000 001 10-12 p

Units for Area and Volume

1 m = 102 cm (100 cm)

1 m2 = 104 cm2 (10,000 cm2)

1 m3 = 106 cm3 (1,000,000 cm3)

1 cm = 10-2 m ( 1

100 m )

1 cm2 = 10-4 m2 ( 2 1

10,000 m )

1 cm3 = 10-6 m3 ( 3 1

1,000,000 m )

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Force and Motion Average Speed

Total DistanceAverage Speed Total Time= Velocity

sv t= v = velocity (ms-1) s = displacement (m) t = time (s)

Acceleration

v ua t −=

a = acceleration (ms-2) v = final velocity (ms-1) u = initial velocity (ms-1) t =time for the velocity change (s)

Equation of Linear Motion

Linear Motion

Motion with constant velocity

Motion with constant

acceleration

Motion with changing

acceleration

sv t

= atuv += tvus )(

2 1 +=

2

2 1 atuts +=

asuv 222 +=

Using Calculus (In Additional Mathematics

Syllabus)

u = initial velocity (ms-1) v = final velocity (ms-1) a = acceleration (ms-2) s = displacement (m) t = time (s)

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Ticker Tape Finding Velocity:

velocity number of ticks 0.02s

s= ×

1 tick = 0.02s Finding Acceleration:

v ua t −=

a = acceleration (ms-2) v = final velocity (ms-1) u = initial velocity (ms-1) t = time for the velocity change (s)

Graph of Motion Gradient of a Graph

The gradient 'm' of a line segment between two points and is defined as follows:

Change in y coordinate, Gradient, Change in x coordinate,

ym x

or ym x

Δ= Δ

Δ= Δ

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Displacement-Time Graph Velocity-Time Graph

Gradient = Velocity (ms-1) Gradient = Acceleration (ms-2)

Area in between the graph and x-axis = Displacement

Momentum p m v= × p = momentum (kg ms-1) m = mass (kg)

v = velocity (ms-1)

Principle of Conservation of Momentum

1 1 2 2 1 1 2 2m u m u m v m v+ = +

m1 = mass of object 1 (kg) m2 = mass of object 2 (kg) u1 = initial velocity of object 1 (ms-1) u2 = initial velocity of object 2 (ms-1) v1 = final velocity of object 1 (ms-1) v2 = final velocity of object 2 (ms-1)

Newton's Law of Motion Newton's First Law In the absence of external forces, an object at rest remains at rest and an object in motion continues in motion with a constant velocity (that is, with a constant speed in a straight line).

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Newton's Second Law

mv muF t

α −

F ma=

The rate of change of momentum of a body is directly proportional to the resultant force acting on the body and is in the same direction.

F = Net Force (N or kgms-2) m = mass (kg) a = acceleration (ms-2)...

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