Physics Flashcards
Vector
numbers that have direction and magnitude
Ex/ displacement, velocity, acceleration, force, weight
Scaler
numbers that have magnitude
Ex/ distance, speed, energy, pressure, mass, work
Dot product
the product of multiplying 2 vectors and the cosine of the angle between them to produce a scaler
A·B = |A| |B| cos 𝜃
Cross product
the product of multiplying 2 vectors and the sin of the angle between them to produce another vector
A x B = |A| |B| sin 𝜃
Velocity
Instantaneous speed of an object is equal to the magnitude of the objects instantaneous velocity (v) vector
v = Δx/Δt
Gravitational force
all objects exert gravitational forces on each other
Fg = Gm1m2 / r²
Newton’s first law
an object at rest, or in motion at constant velocity, will remain so until a force acts on it
Newton’s second law
F(net) = ma
Newton’s third law
- every force exerted by object A on object B, will result in a force by object B on object A
- F = -F
- For every reaction, there is an equal and opposite reaction
Kinematics equations
v = v₀ + at x = v₀t + 1/2at² —> x = v₀t + at² / 2 v² = v₀² + 2aΔx
Terminal velocity
When the drag force equals the magnitude of the weight of an object (object is falling at constant velocity). The force of gravity and air resistance are equal
Projectile motion
Force and acceleration in the vertical direction only. Distance can only be found with the horizontal components of the force
Incline planes
Fg (parallel) = mg sin 𝜃
Fg (perpendicular) = mg cos 𝜃
Normal force
equal in magnitude to the perpendicular component of gravity
Centripetal force
Fc = mv^2 / r
Centripetal acceleration
Ac = v^2 / r
Torque
Application of a force at some distance from the fulcrum
𝞃 = F x r = F x r (sin𝜃)
- 𝜃 is the angle between the lever arm and force vectors
Kinetic energy
KE = 1/2 mv²
Gravitational potential energy
U = mgh
Elastic potential energy
U = 1/2 kx²
When k is not given, F = |kx| —> k = F/x
Total mechanical energy
E = U + K
If there is an increase in 1, there is a decrease in the other
Conservative forces
Forces, like gravitational and electrostatic, that do not disrupt the flow of energy
Nonconservative forces
Forces like friction, air resistance, viscosity, and convection that do disrupt the flow
Work
Transfer of energy from one system to another
W = Fd = Fd x cosϴ
F = W / d —> F = KE / d
Isobaric process
When pressure of the system is constant and volume changes. This does not effect the 1st law
W = P∆V ( J = N/m² x m³)
Power
The rate at which energy is transferred. Unites in Watt (W) or J/s
P = W/t
P = ∆E/t (energy/time)
P = KE/t
Work-energy theorem
W = ∆KE = KEf - KEi
Mechanical advantage
MA = (force exerted on object by machine) / (force exerted on machine)
Efficiency
Efficiency = (load x load distance) / (effort x effort distance)
- Load is the weight and effort is the force
0th law of thermodynamics
If object A is in thermal equilibrium with object B, and object B is in thermal equilibrium with object C, then object A and object C are in thermal equilibrium. No net heat will flow between these objects
Heat
Transfer of thermal energy from a object with higher temp to one with lower
Thermal equillibrium
When no net heat flows between objects
Absolute zero
The lowest temperature possible where no heat is produced from the movement of particles. A substance at absolute zero displays no kinetic energy
Fahrenheit, Celsius, and Kelvin conversion
F = 9/5 C + 32 K = C + 273
Linear thermal expansion
∆L = ⱭL∆T
Volumetric thermal expansion
∆V = βV∆T
Isolated system
No exchange of energy or matter with the surroundings
Closed system
Exchange of energy, but not matter
Open system
Exchange of energy and matter
Calorie to joule conversion
1 Cal = 1000 cal (1 kcal) = 4184 J
Conduction
Direct transfer of energy through molecular collisions
Convection
Transfer of heat by the physical motion of fluid over a material. Only liquids and gasses exhibit this
Radiation
Transfer of energy through electromagnetic waves. This can be transferred in a vacuum
Specific heat
Relationship between adding/removing heat energy to a system and how much the temperature changes based on how much energy is added or removed.
q = mc∆T
Specific heat of water
1 cal/g·℃ or 4.184 J/g·K
Specific heat during a phase change
q = mL where L is the heat of fusion or vaporization
Heat of fusion
Heat of transformation at the melting point
Heat of vaporization
Heat of transformation at the boiling point
Isothermal process
When the system’s temperature is held constant so ∆U = 0 and Q = W
Adiabatic process
When there is no heat exchange between the system and surroundings so Q = 0 and ∆U = -W
Isovolumetric process
When there is no change in volume and no work is done in the process so W = 0 and ∆U = Q
Entropy
Measure of spontaneous dispersal of energy at a specific temp
∆S = Q (rev) / T
1st law of thermodynamics
Conservation of energy: Energy is not created or destroyed, just transferred from one form to another. Any change in the total energy of the system is due to work or heat
∆U = q - W or ∆U = q + W (if energy is being transferred out of the system)
2nd law of thermodynamics
Entropy always increases over time
∆S universe = ∆S system + ∆S surroundings > 0
3rd law of thermodynamics
Absolute zero temperature is unattainable
Density
ρ = m / V
Units: kg/m³ or g/mL —> g/cm³
Density of water
1 g/cm³ —> 1000 kg/m³
Specific gravity
The density of a substance compared to the density of water. Finding the difference in densities of a substance and water gives you the ability to find the density of the other solutes (excluding the substance and water)
SG = ρ / 1 g/cm³ or 1 g/mL
Pressure (fluids)
P = F/A
1 Pa = 1 N/m²
Pascal to atmosphere conversion
1.013 x 10⁵ Pa = 100 kPa = 760 mmHg = 760 torr = 1 atm
Absolute pressure
Also known as hydrostatic pressure
P = Po + ρgz
z = depth
Po = 10⁵ Pa
Gauge pressure
Pressure in a closed space above atmospheric pressure
Pgauge = P - Patm = (Po + ρgz) - Patm
Pascal’s prinicple
In a incompressible fluid, a change in pressure will be transmitted to each portion of the fluid and to the walls of the vessel