Notecard Formulas

Question 1

v = Δx/t

Answer 1

used to find average velocity

Question 2

a = Δv/t

Answer 2

used to find average acceleration

Question 3

s = d/t

Answer 3

used to find average speed

Question 4

vf = vi + at

Answer 4

kinematic 1

Question 5

Δx = 1/2 (vf+vi) t

Answer 5

kinematic 2

Question 6

Δx = (vi t) + (1/2 a t^2)

Answer 6

kinematic 3

Question 7

vf^2 = vi^2 + 2aΔx

Answer 7

kinematic 4

Question 8

vx = v*cosθ

Answer 8

find velocity in the x direction

Question 9

vy = v*sinθ

Answer 9

find velocity in the y direction

Question 10

Fg = m*g

Answer 10

force of gravity (on earth) (g = 9.8) (m in kg)

Question 11

ΣF = m*a

Answer 11

*** net force in any given scenario

Question 12

Ff = u*Fn

Answer 12

find frictional force (u value changes for static or kinetic friction)

Question 13

ΣF = (m*v^2) / r

Answer 13

net centripetal force

Question 14

a = v^2 / r

Answer 14

circular acceleration (when given velocity)

Question 15

v = 2πr / T

Answer 15

circular velocity (T = period)

Question 16

a = (4π^2r) / T^2

Answer 16

circular acceleration (when given period)

Question 17

Fg = (GM1m2) / d^2

Answer 17

Force of gravity between 2 objects (G = gravitational constant = 6.67 * 10^-11)

Question 18

g = (G*M1) / d^2

Answer 18

acceleration due to gravity (uses larger object’s mass)

Question 19

v^2 = (G*M) / d

Answer 19

velocity of a satellite (derived by setting ΣF = Fg)

Question 20

T^2 = (4π^2r^3) / (G*M)

Answer 20

period of a satellite (Kepler’s Law!) (derived by setting ΣF = Fg, and substituting 2πr/T for v)

Question 21

Work = F * Δx * cosθ

Answer 21

used to find work done in any scenario (must set reference point for displacement)

Question 22

Ug = h * m * g

Answer 22

potential energy (must set reference point for height)

Question 23

K = 1/2 * m * v^2

Answer 23

kinetic energy

Question 24

What is the k coefficient of rotational inertia for a SOLID CYLINDER?

Answer 24

1/2

Question 25

What is the k coefficient of rotational inertia for a HOOP?

Answer 25

1

Question 26

What is the k coefficient of rotational inertia for a SOLID SPHERE?

Answer 26

2/5

Question 27

What is the k coefficient of rotational inertia for a SPHERICAL SHELL?

Answer 27

2/3

Question 28

What is the k coefficient of rotational inertia for a ROD (ABOUT CENTER)?

Answer 28

1/12

Question 29

What is the k coefficient of rotational inertia for a ROD (ABOUT END)?

Answer 29

1/3