Things to Memorize

Question 1

Kinematic eq. for no delta x

Answer 1

v = v0 + a*t

Question 2

Kinematic eq. for no v

Answer 2

delta x = v_0t + 0.5a*t^2

Question 3

Kinematic eq. for no t

Answer 3

v^2 = v0^2 + 2adelta x

Question 4

Kinematic eq. for no a

Answer 4

delta x = 0.5(v + v0)t

Question 5

Kinematic eq. for no v0

Answer 5

delta x = vt - 0.5a*t^2

Question 6

Formula for ELASTIC collision of mass m1 moving at v towards m2 which is at rest (give final velocities for both)

Answer 6

v1f = v * (m1 - m2) / (m1 + m2)
v2f = v * 2 * m1 / (m1 + m2)

Question 7

Formula for INELASTIC collision of mass m1 moving at v towards m2 which is at rest

Answer 7

vf = v * m1 / (m1 + m2)

Question 8

What is the difference between an ELASTIC and INELASTIC collision?

Answer 8

ELASTIC = particles don’t stick together, no energy lost to heat
INELASTIC = particles do stick together, energy is lost as heat

Question 9

Formula for acceleration in circular motion (in terms of v and r)

Answer 9

a = v^2 / r

Question 10

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?

Answer 10

T = 2 pi r / v
f = 1/T

Question 11

Formula for gravitational force and gravitational potential energy

Answer 11

F = G M m / r^2
PE = - G M m / r

Question 12

What is Kepler’s second law?

Answer 12

The line joining the Sun and a planet sweeps out equal areas in equal times

Question 13

What is Kepler’s third law?

Answer 13

The square of a planet’s orbital period is proportional to the cube of the semimajor axis of the orbit

Question 14

In circular motion, what is v in terms of w (omega, the angular velocity)?

Answer 14

v = wr

Question 15

how is the moment of inertia determined in terms of density p?

Answer 15

I = integral of p r^2 dr

Question 16

What is the parallel axis theorem?

Answer 16

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.

Question 17

Give equation for torque T in term so r, F, and theta and in terms of I and alpha

Answer 17

T = r F sin(theta) = I alpha

Question 18

What is angular momentum in terms of omega (angular velocity) and I

Answer 18

L = I w

Question 19

Give equation for rotational kinetic energy

Answer 19

rot KE = 1/2 I w^2

Question 20

Give equation for force of friction in terms of the coefficient of friction and the normal force

Answer 20

F = u N sin(theta)

Question 21

What is the Lagrangian L equal to and what is the Euler-Lagrange equation?

Answer 21

L = T - V
dL/dq = d/dt ( dL/dqdot )
where q is a position coord and qdot is its time derivative / velocity

Question 22

Force between two electric charges q1 and q2 separated by a distance r

Answer 22

(1/(4 pi eps0)) q1 q2 / r^2

Question 23

Force on a test charge q from an electric field E

Answer 23

F = q E

Question 24

Change in electric potential

Answer 24

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

Question 25

Potential of an arrangement of charges

Answer 25

sum of k q / r

Question 26

What is a conductor?

Answer 26

A conductor is an object where charges move freely such that there is always no electric field inside the conductor

Question 27

What is Gauss’s law?

Answer 27

The sum of all electric field lines passing through a closed surface is linearly related to the amount of charge enclosed in that surface