Mechanics
Tendency for objects to resist changes in their motion
What is Inertia?
Units of capacitance
What are Farads?
A mathematical property that satisfies additivity and homogeneity
(a.k.a superposition)
What is linearity?
This was the era in which Newton discovered/invented the Laws of Motion and universal gravitation.
What is the Enlightenment Era?
OR
What is the Age of Reason?
These are the 4 fundamental forces of the universe
What are the strong nuclear force, grav
Equation for the position of a simple harmonic oscillator as a function of time.
What is x(t) = Asin(wt) + Bcos(wt)
Determines the direction of a cross product
What is the right hand rule?
Method used in the small angle approximation that approximates functions by a series of high order derivatives.
What is Taylor series (Taylor Expansion)?
The series of experiments (1908-1913) by which scientists learned that every atom has a nucleus with all of its positive charge and most of its mass is concentrated. This was deduced after measuring how an alpha particle beam scatters when it strikes a thin metal foil.
What were the Geiger-Marsden Experiments?
a.k.a
(the Rutherford Gold-Foil Experiment)
The 3rd Law of thermodynamics
What law states as temperature goes to zero, entropy goes to zero?
The imaginary force an unrestrained object experiences as it moves around an arc. This force acts opposite to the direction of centripetal acceleration.
What is centrifugal force?
The equation for the force on a positive particle moving with velocity v in the presence of an electric and magnetic field.
What is the Lorentz Force: F = q[E + v x B]
Something that follows associativity, commutativity, has an identity element 0, and can become an inverse element in addition. Also has compatibility, identity element 1 for multiplication, and distributive properties with respect to addition or field additions.
What is a vector or vector space?
This machine was patented in 1932 by Dr. Ernest Lawrence to accelerate particles. Its resonance frequency is proportional to the charge of the particles and the magnetic field it goes through divided by 2π times it's relativistic mass.
What is a Cyclotron?
A constant equal to 1/137
What is the fine structure constant?
Two identical cars collide head on. Each car is traveling at 100 km/h. The impact force on each car is the same as hitting a solid wall at...
What is 100 km/h ?
A charge of q is placed a distance B away from a spherical conductive shell. What is the electric field inside the sphere?
What is ZeRo?
Take derivative:
y=x^{2}sin(-4x)+cos(x)/x
What is y' = 2xsin(-4x) -4x^2*cos(-4x) - cos(x)/x^2 -sin(x)/x
This person contributed to the Manhattan Project, developed further connections between relativity and quantum mechanics, and really really like their Orange Juice.
Who is Richard Feynman?
Formula used to describe the relationship between the angles of incidence and refraction when a wave passes through a medium
What is Snell's Law?
Your laptop with all your HW is dropped in freefall from some initial height h. The expression describes its final velocity right before it hits the ground neglecting air resistance. Your laptop weighs 3 kg and can survive 30 Newtons of force; will your laptop and all your work survive?
What is sqrt(2gh)? Your laptop lives!
2 resistors are placed in parallel with values of 20 and 40 ohms. The circuit has a 10 volt battery. Find the equivalent(total) resistance of the circuit and the voltage through each resistor.
What is 40/3 or 13.3 ohms and 10 volts?
Take the Integral:
x*sin(x) dx
What is y' = 1/16[sin(4x) - 4xcos(4x)]
This person made the important discovery of the connection between electricity and magnetism with light (1821).
Who is Michael Faraday?
A 5 foot (1.5 meters) tall freshman is upset that his friend is 7 feet (2.1 meters) tall. He decides to launch his friend upwards at a speed v fast enough to undergo length contraction. What does v need to be for the friend's length to be contracted to 5 feet? (You can write your answer in terms of c)
The formula for length contraction: L = L_o(sqrt(1-(v^2/c^2))
What is 0.707c or 70% the speed of light?