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Vector Addition


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Graphical representation
Arrow tipped line segment
Algebraic representation
Vector represented by an italicized letter in bold
resultant vector
the sum of two vectors is called_
Pythagorean relationship
sum of the squares of the two sides of a right triangle is equal to the square of th hypotenuse
direction
A point toward something, determined by its orientation and sense.
Vector decomposition
Process of breaking a vector into its components
components
parts of a vector, one is parallel to the x-axis and the other one is parallel to the y-axis
vector
a displacement distinguished by magnitude and direction but not by location.
Magnitude...
... of a vector is always a positive quantity
displacement
A change in position (delta p).
Scalar Quantity
a measure of magnitude
Velocity
a speed in a particular direction.
Origin
Center of a coordinate system is
X/V
cos ?
Y/V
sin ?
Y/X
tan ?
v
The index of refraction n is defined as , where c is the speed of light in air, and _______ is the speed of light in a material.
3.2 km/h, 64° N of W
A swimmer jumps into a river and swims straight north to the other side at 1.…
180 m/s, 49° S of E
The president's airplane, Air Force One, flies at 2…
27 km/h, 34° S of E
A blimp is travelling at a velocity of …
99 km/h, 4.5° N of E
An airplane pilot checks the instruments and finds that the velocity of the plane relative to the air is 32…
West = 7.5 m/s²
14. A racing car is accelerating at 22 m/s² 70° north of west. Find the acceleration of the car in the north direction and in the west direction.
30 cm, 80°
A spider starts walking from the center of a piece of paper and walks 10 cm at 115° and then walks 23 cm at 70° before resting. What is the spider's total displacement …
Distance
a path taken and always a positive number
work
a force acting upon an object to cause a displacement. (key words: force, displacement, and cause)
area
decreases
volume
Spcae occupied by an object
acceleration
(physics) a rate of change of velocity
temperature
State function, intensive property, macroscopic property, tells us direction of heat flow
momentum
(p) vector quantity describing the quantity of motion or inertia in motion. Recognizes that both mass and velocity have a part in the motion of an object and is proportional to both (is zero …
pressure
_______ is the measure of force exerted on a unit area of surface
vector
force ex. weight
mass
a body of coherent matter, usually of indefinite shape and often of considerable size
Speed
Units: cm/s, m/s, mi/hr, km/s ...
Energy
(physics) the capacity of a physical system to do work
time
A measure of change between two events or moments.
magnetic field
a vector force field that surrounds any magnetic material
Head-to-Tail Method
Method used to solve vectors graphically
Component Method
Mathematical method for solving vectors that are not right triangles
Scalar Quantities
Speed, Distance, Mass, Time, Temperature
Vector Quantities
Velocity, Acceleration, Displacement, Weight, Force
Resultant
A vector sum (includes a magnitude and a direction)
add
When 2 vectors are going in the same direction, you _______ them to find the resultant
subtract
when 2 vectors are going in opposite directions, you _______ them to find the resultant
Equilibrant
A force that causes an object to be in equilibrium
Tail
The direction of a vector is often expressed as an angle of rotation of the vector about its _______ from south, east, north, west
The Length of the Arrow
The magnitude of a vector in a scaled vector diagram is depicted by _______ __ _______
The Pythagorean Theorem
a^2 + b^2 = c^2
Sine Function
relates the measure of an acute angle to the ratio of the length of the side opposite the angle to the length of the hypotenuse
Cosine Function
relates the measure of an acute angle to the ratio of the length of the side adjacent the angle to the length of the hypotenuse
Tangent Function
relates the measure of an angle to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle
Resultant Velocity
If two or more velocity vectors are added, then the result is a _______
Resultant Force
If two or more force vectors are added, then the result is a_______
normal force
a perpendicular contact force exerted by a surface on another object is a(n) _______.
Air Resistance Force
Special type of frictional force
Tension Force
Force that is transmitted through a string
Frictional Force
Force exerted by a surface
Applied Force
A force that is applied to an object
Gravitational Force
(physics) the force of attraction between all masses in the universe
Spring Force
The force exerted by a compressed or stretched spring