Formula Sheet
Cascarano
Math Stuff
⃗ ⃗⃗
Scalar Product
⃗
Vector Product
| ⃗|| ⃗⃗|
Acceleration of gravity
| ⃗|| ⃗⃗|
⃗⃗
Quadratic formula
2
(ax +bx+c=0)
Constants
2
g = 9.80 m/s
Universal gravitation
G = 6.67x10
-11
2
Nm /kg
Trig Identities
Law of cosines:
Newton’s Laws / Friction / Circular motion
2 Law
∑⃗
⃗ or ∑ ⃗
nd
Gravitation
(
)
(
Law of sines:
Static friction
Kinetic friction
)

a
Velocity Addition
⃗
⃗
⃗

Centripetal acceleration
b

c
Work & Power
Work by constant force
Energy
⃗ ⃗
Work by varying force
Kinetic energy
Gravitational potential
energy
∫
Conservative forces
Elastic potential energy
Non-conservative forces
Power
Hooke’s Law
Force from potential energy
Impulse and Momentum
⃗
⃗
Linear
momentum
Impulse
⃗
∫ ∑⃗
Center of Mass
∑
∑
Center of mass
(point objects)
Center of mass
(solid objects)
(∑ ⃗ )
⃗
Impulse momentum
∫
∫
⃗
⃗
⃗
Total momentum
∑⃗
Rotational Kinematics
Linear / Angular
(
(
Torque
)
)
(
⃗⃗
⃗
Rotational Inertia and Energy
∑
Rotational inertia
(point objects)
Rotational inertia
∫
(solid objects)
Parallel axis theorem
Rotational kinetic energy
)
Torque and Angular Momentum
⃗ ⃗ ⃗
Angular
momentum
⃗
⃗
2
Mass of Earth
Radius of Earth
√
Kinematics
Physics 4A
Rotational Motion
nd
Newton’s 2 law
⃗⃗
Work
Power
∑⃗
⃗
∫
⃗⃗
⃗
Formula Sheet
Cascarano
Displacement
Simple Harmonic Motion
( )
(
Physics 4A
Angular Frequency
)
Mass on a spring
√
Velocity
Simple pendulum
( )
Period
(
)
Frequency
(j) Thin hoop rotating on axis through any diameter of the hoop:
√