Kinematics and mechanics
A. Vectors
Vector representation: Use an arrow
Magnitude
Direction
Vector notation: Put an arrow above symbol
e.g. Velocity = V
Resultant vector:
Biggest when acting in the same direction.
Smallest when acting in opposite directions.
Always between the min and max.
- Graphically
. Tail to head method.
Fnet
- Algebraically
. Use formula.
. Fnet = F1 + F2 + F3
Example:
5,5 N 2,2 N
10,7 N
Method 1: Method 2:
Fnet = F1 + F2 + F3
5,5 N . = 2,2 + (-10,7) + 5,5
. = -3,2
. = 3,2 N down
2,2 N
10,7 N
Fnet
, B. Displacement, Velocity and Acceleration
Position
Symbol: x
Unit: m
Physical quantity: vector
Distance
Symbol: D
Unit: m
Physical quantity: scalar
Displacement
Symbol: Δx
Unit: m
Physical quantity: vector
Formula: xf - xi
Speed
Symbol: V
Unit: m/s
Physical quantity: scalar
𝑡𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 (𝑚)
Formula: 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 (𝑠)
Velocity
Symbol: V
Unit: m/s
Physical quantity: vector
𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡 (𝑚) ∆𝑥
Formula: 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 (𝑠) = ∆𝑡
m/s to km/h = x 3.6
km/h to m/s =
3.6
Acceleration
Symbol: a
Unit: m/s2
Physical quantity: vector
𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 (𝑚/𝑠) ∆𝑉
Formula: =
𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 (𝑠) ∆𝑡
A. Vectors
Vector representation: Use an arrow
Magnitude
Direction
Vector notation: Put an arrow above symbol
e.g. Velocity = V
Resultant vector:
Biggest when acting in the same direction.
Smallest when acting in opposite directions.
Always between the min and max.
- Graphically
. Tail to head method.
Fnet
- Algebraically
. Use formula.
. Fnet = F1 + F2 + F3
Example:
5,5 N 2,2 N
10,7 N
Method 1: Method 2:
Fnet = F1 + F2 + F3
5,5 N . = 2,2 + (-10,7) + 5,5
. = -3,2
. = 3,2 N down
2,2 N
10,7 N
Fnet
, B. Displacement, Velocity and Acceleration
Position
Symbol: x
Unit: m
Physical quantity: vector
Distance
Symbol: D
Unit: m
Physical quantity: scalar
Displacement
Symbol: Δx
Unit: m
Physical quantity: vector
Formula: xf - xi
Speed
Symbol: V
Unit: m/s
Physical quantity: scalar
𝑡𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 (𝑚)
Formula: 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 (𝑠)
Velocity
Symbol: V
Unit: m/s
Physical quantity: vector
𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡 (𝑚) ∆𝑥
Formula: 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 (𝑠) = ∆𝑡
m/s to km/h = x 3.6
km/h to m/s =
3.6
Acceleration
Symbol: a
Unit: m/s2
Physical quantity: vector
𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 (𝑚/𝑠) ∆𝑉
Formula: =
𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 (𝑠) ∆𝑡
