Physics Flashcards
Formula for average speed
S = distance / time
Note: Involves NO Derivatives/Differentiation
Formula for average velocity
V = displacement(vector) / time
Note: Involves NO Derivatives/Differentiation
Formula for instantaneous speed
| Note: Involves NO Derivatives/Differentiation
V(instantaneous) |
Formula for instantaneous velocity
dx / dt
Formula for average accelaration
A = ΔV/ Δt
Note: Involves NO Derivatives/Differentiation
Formula for instantaneous acceleration
A = dV / dt
Formula for Jerk
Jerk = da / dt
Formula for Jounce
Jounce = d(Jerk) / dt
Is acceleration scalar or vector?
Either
Newton’s First Law
states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force.
Newton’s Second Law
a non-zero net force on an object causes acceleration
Newton’s Third Law
an action has an equal and opposite reaction
Unit of Newton
1 N = 1 kg.m/s^2
Unit of dyne
1 dyne = 1 g.cm/s^2
Unit of pound force
1 lb.f = 1 slug.ft/s^2
He stated that “ a falling object, regardless of mass will fall with constant acceleration”
Galileo Galilei
Universal gravitational constant
G = 6.67 x 10^-11 Nm^2 / kg^2
Centripetal acceleration formula
A = v^2 / R R = radius of motion
Centripetal force formula
F = m (v^2 / R ) R = radius of motion
Angular speed of a circular motion
w = 2 π f = v / R
It is force normal to circular path and is a real force
Centripetal Force
so called Imaginary Force
Centrifugal Force
Activity involving force and movement
Work
Is work a scalar or vector
Scalar
Formula for work
W = f · d · cos(θ) W = f · d W = ΔKE = - ΔPE KE = kinetic energy PE = Potential energy
Unit of erg
1 erg = 1 dyne.cm
Unit of pound foot
1 lb.ft = 1 lbf . ft
Rate of doing work
POWEEEEERRRRRR!
Formula of Power
P = W / t W = work
Is power a scalar or vector
Scalar
Unit of Watt
1 watt = 1 J/s = 1 N.m/s
Unit of horsepower
1 hp = 746 watts = 550 ft.lb / s
Capacity to do work
Energy
Is energy a scalar or vector
Scalar
Formula for kinetic energy
KE = 1/2 m·v^2
Formula for potential energy
PE = mgh
Formula for rotational kinetic energy
KE = 1/2 I x w^2 I = inertia w = angular velocity
Unit of Joule
1 J = 1 Nm = 1 kg.m^2/s^2
States that “energy is neither created nor destroyed in an Isolated system”
Law of conservation of energy
Formula for Law of conservation of energy
PEi + KEi + KE(rotational)i = PEf + KEf + KE(rotational)f
It is the amount of motion
Momentum
It is the change in momentum
Impulse
Is momentum scalar or vector
Vector
Is Impulse scalar or vector
Vector
Formula for Momentum
p = m · v (N.s)
Formula for Impulse
J = Δp = m·ΔV) = F· Δt p = momentum
the total momentum at all times is constant
Conservation of momentum
Formula for conservation of momentum
(m1·v1)i + (m2·v2)i = (m1·v1)f + (m2·v2)f
The kinetic energy and momentum is conserved
Elastic
when momentum is only conserve or energy is lost through heat, light, sound and etc
Inelastic
bodies merge after collision
Perfectly Inelastic
is the ratio of the final to initial velocity difference between two objects after they collide
Coefficient of restitution
Formula Coefficient of restitution
e = - (v2a - v2b) / (v1a - v1b) = sqrt(h(bounce)/h(initial))
If the coefficient of restitution is equal to 1
Perfect Elastic
If the coefficient of restitution is equal to 0
Perfect Inelastic
Formula for force on a spring
F =-kx
k=spring’s constant (N/m)
Formula for Period of mass on a spring
T = 2·π· sqrt(m/k)
k=spring’s constant (N/m)
Formula for angular velocity on a spring
w = sqrt(k/m)
Formula for period of the pendulum
T = 2·π·sqrt(L/g) L= length of the string g = gravity
Formula for period of Torsional pendulum
T = 2·π·sqrt( I / K )
I - Moment of Inertia
K - Torsional Constant
Wave Intensity of a mechanical wave
I = 2 · π^2 · v · ρ · f^2 · (Amplitude in meters)^2
Speed of propagation of a Transverse Wave
v = sqrt( T / (mu))
T - tension
(mu) - mass per unit length (kg / m)
Speed of propagation of a longitudinal wave
v = sqrt( E / (ρ))
E - Modulus of elasticity
(ρ) - density (Kg / m^3)
Modulus of elasticity(E) of Steel
E(steel) = 200GPa
A Mechanical wave where Propagation of the wave is parallel to the displacement of medium
Longitudinal Wave
A Mechanical wave where Propagation of the wave is perpendicular to the displacement of medium
Transverse Wave
Sound is a (Transverse/Longitudinal) Wave
Longitudinal