Kinematics and Dynamics Equations

Question 1

Component Vectors

Answer 1

X= Vcos(theta)
Y= Vsin(theta)

Question 2

Pythagorean Theorem

Answer 2

X^2 + Y^2= V^2

Question 3

Determining Direction from Component Vectors

Answer 3

Theta= tan^-1 Y/X

Question 4

Dot Product

Answer 4

A (dot) B= |A| |B| cos(theta)

Question 5

Cross Product

Answer 5

A x B = |A| |B| sin(theta)

Question 6

Instantaneous Velocity

Answer 6

V = lim change(X)/change(t)
lim represents change(t) -> 0

Question 7

Average Velocity

Answer 7

V= change(X)/change(t)

Question 8

Universal Gravitation Equation

Answer 8

Fg= Gm1Gm2/r^2

Question 9

Static Friction

Answer 9

0 <or= fs <or= musN

Question 10

Kinetic Friction

Answer 10

fk= mukN

Question 11

Force of Gravity on Earth

Answer 11

Fg= mg

Question 12

Center of Mass for all variables

Answer 12

X= m1,x1 + m2,x2 + m3,x3/m1 + m2 + m3

Question 13

Average Acceleration

Answer 13

a= change(V)/change(t)

Question 14

Instantaneous Acceleration

Answer 14

a= lim change(V)/change(t)

Question 15

Newton’s First Law

Answer 15

Fnet= ma= 0

Question 16

Newton’s Second Law

Answer 16

Fnet= ma

Question 17

Newton’s Third Law

Answer 17

FAB= -FBA

Question 18

Kinematics, no displacement

Answer 18

v= v0 + at

Question 19

Kinematics, no final velocity

Answer 19

v= v0t + at^2/2

Question 20

Kinematics, no time

Answer 20

v^2= v0^2 + 2ax

Question 21

Kinematics, no acceleration

Answer 21

x= (average)v times t

Question 22

Components of Gravity on an Inclined Plane

Answer 22

Fg(parallel)= mgsin(theta)
Fg(perpendicular)= mgcos(theta)

Question 23

Centripetal Force

Answer 23

Fc= mv^2/r

Question 24

Torque

Answer 24

torque- (r) x (F)= rFsin(theta)