Things to Memorize Flashcards
Kinematic eq. for no delta x
v = v0 + a*t
Kinematic eq. for no v
delta x = v_0t + 0.5a*t^2
Kinematic eq. for no t
v^2 = v0^2 + 2adelta x
Kinematic eq. for no a
delta x = 0.5(v + v0)t
Kinematic eq. for no v0
delta x = vt - 0.5a*t^2
Formula for ELASTIC collision of mass m1 moving at v towards m2 which is at rest (give final velocities for both)
v1f = v * (m1 - m2) / (m1 + m2)
v2f = v * 2 * m1 / (m1 + m2)
Formula for INELASTIC collision of mass m1 moving at v towards m2 which is at rest
vf = v * m1 / (m1 + m2)
What is the difference between an ELASTIC and INELASTIC collision?
ELASTIC = particles don’t stick together, no energy lost to heat
INELASTIC = particles do stick together, energy is lost as heat
Formula for acceleration in circular motion (in terms of v and r)
a = v^2 / r
For circular motion:
1. What is period in terms of circumference (in terms of r) and v?
2. What is frequency in terms of period?
T = 2 pi r / v
f = 1/T
Formula for gravitational force and gravitational potential energy
F = G M m / r^2
PE = - G M m / r
What is Kepler’s second law?
The line joining the Sun and a planet sweeps out equal areas in equal times
What is Kepler’s third law?
The square of a planet’s orbital period is proportional to the cube of the semimajor axis of the orbit
In circular motion, what is v in terms of w (omega, the angular velocity)?
v = wr
how is the moment of inertia determined in terms of density p?
I = integral of p r^2 dr
What is the parallel axis theorem?
The moment of inertia about an axis parallel to the axis
through the center of mass is given by
I = I_CM + M h^2
where M is the mass of the object and h is the distance between the new axis and the center of mass.
Give equation for torque T in term so r, F, and theta and in terms of I and alpha
T = r F sin(theta) = I alpha
What is angular momentum in terms of omega (angular velocity) and I
L = I w
Give equation for rotational kinetic energy
rot KE = 1/2 I w^2
Give equation for force of friction in terms of the coefficient of friction and the normal force
F = u N sin(theta)
What is the Lagrangian L equal to and what is the Euler-Lagrange equation?
L = T - V
dL/dq = d/dt ( dL/dqdot )
where q is a position coord and qdot is its time derivative / velocity
Force between two electric charges q1 and q2 separated by a distance r
(1/(4 pi eps0)) q1 q2 / r^2
Force on a test charge q from an electric field E
F = q E
Change in electric potential
delta V = - int A to B of E dl
Use whatever path is easiest to integrate since the result of this integral is path independent
Potential of an arrangement of charges
sum of k q / r
What is a conductor?
A conductor is an object where charges move freely such that there is always no electric field inside the conductor
What is Gauss’s law?
The sum of all electric field lines passing through a closed surface is linearly related to the amount of charge enclosed in that surface
