This document contains equations and concepts related to kinematics, dynamics, force, motion, energy, and lifts. It includes equations for uniform acceleration such as the kinematic equations relating displacement, velocity, acceleration, and time. It also contains equations for force and motion such as Newton's Second Law, impulse, and resultant force. Additional concepts and equations covered include work, power, potential and kinetic energy, efficiency, and the forces acting on an object in a lift.

1. Kinematics
Equation for
Uniform Acceleration
2
2 2
1
( )
2
1
2
2
v u at
s u v t
s ut at
v u as
 
 
 
 
v u
a
t


sv
t

Gradient = Velocity
Gradient = Acceleration
Area below the graph
= Displacement
Force and Motion 1
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2. Dynamics
Force and Motion 2
p m v 
1 1 2 2 1 1 2 2m u m u m v m v  
1 1 2 2 0m v m v 
1 1 2 2 1 2( )m u m u m m v  
F ma
Impulse Ft
Impulse mv mu 
mv mu
F
t


F
g
m

W mg
See Attachment 1
Original Vector
Resolved Vector

F cos

F
F cos
F sin
F sin
Resultant Force

F
a
b
2 2
Magnitude of F, | |
| |
Direction of F, tan
| |
F a b
a
b

 

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3. F kx
Power Output
Efficiency = 100%
Power Input

Useful Energy
Efficiency = 100%
Energy

W
P
t

1
2
PE Fx
21
2
PE kx
PE mgh
21
2
KE mv
W Fs
cosW Fx 
W mgh
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Force and Motion 3

4. Attachment 1 - Lift
In Stationary
R mg
 When a man standing inside an
elevator, there are two forces acting on
him.
(a) His weight ， which acting
downward.
(b) Normal reaction (R), acting in the
opposite direction of weight.
 The reading of the balance is equal to
the normal reaction.
Moving Upward with positive
acceleration
Moving downward with positive
acceleration
R mg ma  R mg ma 
Moving Upward with constant velocity Moving downward with constant
velocity.
R mg R mg
Moving Upward with negative
acceleration
Moving downward with negative
acceleration
R mg ma  R mg ma 