Chapter 1: Kinematics and Dynamics Flashcards
metric system
MKS
lenght
meter (m)
mass
kg
time
second (s)
current
ampere (A)
amount of substance
mole (mol)
newton
N or kg.m/s^2
angstroms
1A = 10^-10m
breaking each vector into perpendicular componentes
x- and y- componenmts
nanometer
1nm = 10^-9 m
vector addition
tip-to-tail
electron-volts
1 eV = 1.6 x 10^-19 J
x-component
X=V cosθ
y-component
Y =V sinθ
Pythagorean theorem
a^2 + b^2 = c^2
or c= square root of a2+b2
vector subtraction
A - B = A + (-B)
pointing the other direction
multipling vectors by scalars
B = nA
to determine the direction of B, if n is a positive number then B is pointing at the same direction of A but if n is negative number, then B is pointing in the opposite direction of A
displacement (x or d)
vector quantity, does not account for pathway
multiplying vectors by other vectors
to generate a scalar quantity, we use the dot ptoduct:
A . B = A B cosθ
to generate a vector qauntity, we use the cross product:
A x B = A B sinθ
is it notcommutative (A x B ≠ B x A)
distance (d)
considers pathway and is a scalar quantity
up and down signs
up is positive and down is negative
universal gravitational force
Fg = G m1 m2 / r^2
G = 6.67 x 10^-11 N . m^2 / kg ^2
earth’s surface gravity
10 m/s^2
always have a direction
sin 90 =
1