Physics Flashcards
These are physical quantities that have magnitude only and can be handled like ordinary real numbers.
Ex: Mass Time Temperature Energy Speed Distance Work Power
Scalar Quantities
Physical quantities with magnitude and a specified direction in space. Denoted by an uppercase letter in boldface, like A, to distinguish them from scalar quantities.
Ex. Displacement Velocity Acceleration force Momentum Impulse
Vector Quantities
The scalar corresponding to a vector, denoted by |V| or simply V.
P.S. This is never a negative number. The zero vector has undefined direction
Magnitude of a vector
V = W if and only if |v| = |w| with V and W along the same direction.
Vector Equality
A vector that has the same magnitude as the given vector but points in the opposite direction
|V| = |-V|
Negative of a vector
The individual projections of a vector onto the x- and y-axes ; given by Vx and Vy, respectively
Vx = |V|cos(angle) Vy = |V|sin(angle)
Components of a Vector
Sin 0 degrees = cos 90 degrees = 0
Sin 90 degrees = cos 0 = 1
Sin 45 degrees = cos 45 = Square root of 2 over 2
Sin 30 degrees = cos 60 degrees = 1/2
Sin 60 degrees = cos 30 degrees = Square root 3 over 2
Trigonometric ratios of some angles
V =
θ = tan⁻¹|Vₓ/Vᵧ|
|V| = √Vₓ²+vᵧ²
component form of a vector
Study of motion
kinematics
length of the line or curve following the object’s path, scalar, SI unit: meter (m)
Distance
Change in object’s position, vector pointing from object’s initial position to final position, SI unit: meter (m).
in one direction
∆x = Xf - Xi
Displacement
distance traveled by an object over the time elapsed, scalar, SI unit; meters per second (m/s)
average speed = d/t
Average speed
Speed of an object at an instant of time, scalar, SI unit: m/s
Instantaneous speed
displacement of the object over the time elapsed , vector, SI unit of magnitude: m/s.
In one dimension, the average velocity of an object is
ave v = ∆x/ t
in two dimensions
v ave = <∆x/t, ∆y/t>
Average velocity
velocity of an object at an instant of time, vector, when velocity changes uniformly then
v ave = (Vf + Vi) / 2
instantaneous velocity
when the velocity of an object is _______, then instantaneous velocity is equal to average velocity. If speed is _____, then instantaneous speed is equal to average speed
Constant
Change in an object’s velocity, not zero when object speeds up, slows down, changes direction. SI unit: Meters per second squared (m/s^2)
Acceleration
When the acceleration of an object is ______, it travels at a constant speed along a straight line
Zero
Motion of an object with no acceleration, in one dimension:
v = ∆x/t
Uniform motion
motion of an object with constant, non-zero acceleration along a straight line
a = (Vf - Vi)/t Vave = (Vf - Vi)/2 = ∆x/t
Vf = Vi +at Vf^2 = Vi^2 + 2a∆x ∆x = ((Vf + Vi)/ 2) t ∆x = Vit+1/2at^2
PS. the appropriate equation is the one that has 3 of the given and the variable that is asked for
uniformly accelerated motion