Things to Memorize Flashcards
(27 cards)
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
