TEST 2- Equations

Question 1

Kinetic Friction Fk=

Answer 1

Fk = μkN

Question 2

Static Friction Fs=

Answer 2

Fs = μsN

Question 3

Springs F=

Answer 3

F = -Kx

Question 4

Centripetal Acceleration acp= (Ch. 6)

Answer 4

acp = V^2 / r

Question 5

Centripetal Acceleration Fcp=

Answer 5

Fcp = macp = mV^2 / r

Question 6

Work W=

Answer 6

W = Fd OR Fdcosθ

Question 7

Kinetic Energy KE=

Answer 7

KE = 1/2 mv^2

Question 8

Power P=

Answer 8

P = W / t OR Fd / t

Question 9

Total Work W total=

Answer 9

W total = ΔK = 1/2 mvf^2 - 1/2mvi^2

Question 10

Springs Work W =

Answer 10

W = 1/2kx^2

Question 11

Conservative Forces Wc=

Answer 11

Wc = -Δu

Question 12

Potential Energy u=

Answer 12

u = mgy

Question 13

Spring Potential Energy u=

Answer 13

u = 1/2kx^2

Question 14

Mechanical Energy E=

Answer 14

E = u + k

Question 15

Nonconservative Work Wnc=

Answer 15

Wnc = ΔE = Ef - Ei

Question 16

Linear Momentum p=

Answer 16

p = mv

Question 17

Linear Momentum Net Force

Answer 17

∑F = Δp / Δt

Question 18

Net Force on Object

Answer 18

∑F = ∑F ext + ∑F int

Question 19

Impulse I=

Answer 19

I = Fav Δt

Question 20

Impulse I= (one symbol)

Answer 20

Δp

Question 21

Center of Mass (2 objects) Xcm=

Answer 21

X cm = m1x1 + m2x2 / m1 + m2

Question 22

Center of Mass (more than 2 objects) Xcm=

Answer 22

Xcm = ∑mx / M

Question 23

Center of Mass (more than 2 objects) Ycm=

Answer 23

Y cm = ∑my / M

Question 24

Center of Mass Motion Vcm=

Answer 24

Vcm = ∑mv / M

Question 25

Total Momentum p=

Answer 25

p = Mtotal Vcm

Question 26

Center of Motion Acceleration Acm=

Answer 26

Acm = ∑ma / M

Question 27

Center of Mass Ftotal=

Answer 27

Ftotal = MAcm

Question 28

Changing Mass Δp=

Answer 28

Δp = Δmv

Question 29

Changing Mass F=

Answer 29

F = (Δm / Δt)V

Question 30

Thrust =

Answer 30

Thrust = (Δm / Δt)V

Question 31

Arc Length s=

Answer 31

S = rθ

Question 32

Angular Velocity w=

Answer 32

w = Δθ / Δt

Question 33

Period (1 revolution) T=

Answer 33

T = 2pi / w

Question 34

Angular Acceleration aav=

Answer 34

aav = Δw / Δt

Question 35

Tangential Speed Vt=

Answer 35

Vt = wr

Question 36

Centripetal Acceleration acp= (Ch. 10)

Answer 36

acp = rw^2

Question 37

Equation from Centripetal Acceleration At=

Answer 37

At = ra

Question 38

Kinetic Energy Angular K=

Answer 38

K = 1/2 (mr^2)w^2 OR K = 1/2Iw^2

Question 39

Moment of Inertia I=

Answer 39

I = mr^2

Question 40

Arbitrary Shape K=

Answer 40

K = 1/2 (∑miri^2)w^2

Question 41

Arbitrary Shape I =

Answer 41

I = ∑miri^2

Question 42

Total Acceleration θ=

Answer 42

θ = tan -1 (acp / at)

Question 43

Linear or Angular Speed V=

Answer 43

V = rw

Question 44

Kinematic equations with angular velocity (w)

Answer 44

w = w0 + at θ = θ0 + wot + 1/2at^2 θ = θ0 + 1/2 (w0 + w) t w^2 = w0^2 + 2aΔθ

Question 45

Rolling Motion K=

Answer 45

K = 1/2mv^2 + 1/2Iw^2 OR K = 1/2mv^2 (1 + I / mr^2)

Question 46

Energy Conservation mgh=

Answer 46

mgh = 1/2mr^2 (1 + I/mr^2)

Question 47

Torque 𝛕=

Answer 47

𝛕 = rF

Question 48

Torque Angle 𝛕=

Answer 48

𝛕 = rFsinθ

Question 49

Moment Arm 𝛕=

Answer 49

𝛕 = (rsinθ)F

Question 50

Angular Acceleration a=

Answer 50

a = F / mr = 𝛕 / I

Question 51

Angular Momentum L=

Answer 51

L = Iw = rmv

Question 52

Moment Arm L=

Answer 52

L = r⊥p = r⊥mv

Question 53

∑𝛕=

Answer 53

∑𝛕 = I𝛼= ΔL / Δt

Question 54

Moment of Inertia with Length

Answer 54

I = mL^2 / 12 (ROD with center axis)

Question 55

𝛕 = with work

Answer 55

𝛕 = W / Δθ

Question 56

1 rotation =

Answer 56

2pi radians

Question 57

Moment of inertia hoop

Answer 57

I = MR^2

Question 58

Moment of Inertia disk

Answer 58

I = 1/2 MR^2

Question 59

Moment of Inertia hollow sphere

Answer 59

I = 2/3MR^2

Question 60

Magnitude Centripetal acceleration

Answer 60

acp = wv

Question 61

Magnitude of Tangential acceleration

Answer 61

at = 𝛼r

Question 62

Rolling motion v=

Answer 62

v = wr

Question 63

Rolling motion

Answer 63

Δx = 2pir

Question 64

Moment of Inertia Disk with axis along the rim

Answer 64

3/2MR^2

Question 65

θ used with torque

Answer 65

angle between positive vector and force vector

Question 66

rCM

Answer 66

distance of center of mass to axis of rotation

Question 67

𝛕g total= rFsinθ

Answer 67

= Fg * rCM sinθ = Mg *rCM

Question 68

Tension force in Y and X directions

Answer 68

X = Ft cos Y= Ft sin

Question 69

L(t) =

Answer 69

p * r(t) sin

Question 70

Translational impulse-momentum theorem

Answer 70

F net ext Δt = ΔP

Question 71

Rotational impulse-momentum theorem

Answer 71

F net ext