PHYSICS - CP2 SONG - EQUATION SHEET

Quantity Variable Customary Units Time Δt s seconds Position

Initial Position dI m meters

Final Position dF m meters Displacement Δd m meters Velocity

Initial Velocity vI ms meters/second

Final Velocity vF ms meters/second

Average/Constant Velocity vavg m

s meters/second

Acceleration In this class it will always be constant

Acceleration a 2m

s meters/second2

The acceleration due to gravity on Earth is ALWAYS the same. ag = - 9.8 m/s2

F Id d d∆ = −

avg

dv

t

∆=∆

2 2

2

2

1

2

F I

F I

I

v v a t

v v a d

d v t a t

= + ⋅∆

= + ⋅ ⋅ ∆

∆ = ⋅∆ + ⋅ ⋅ ∆

KINEMATICS EQUATIONS

PHYSICS - CP2 SONG - EQUATION SHEET

MOMENTUM m vρ = ⋅ Units: kg∙m/s

IMPULSE f iρ ρ ρ∆ = −

Conservation of Momentum for Collisions of Objects A and B

B A before B before A after afterρ ρ ρ ρ+ = +

ALL types of collisions conserve momentum

WORK – Units: Joules LIFT PUSH/PULL No Work Done

2

9.8 m/s

g

g

g

W F d

W m a d

a

= ⋅

= ⋅ ⋅

=

AW F d= ⋅

ENERGY Units: Joules Potential Kinetic Total Conservation of Energy for Rollercoaster at track points A & B Conservation of Energy for Rollercoaster on tracks at points A and B

������������ = �� + �� = �� + �� In particular ���� = ������� Conservation of Energy for ELASTIC Collisions of Objects A and B

B A before B before A after afterKE KE KE KE+ = +

UNIVERSAL GRAVITATIONAL FORCE

1 2

2g

m mF G

r

⋅=

m is mass in kilogram (kg),

r is distance between the two objects in meters (m)

G is a gravitational constant (6.67 x 10-11

N m2/kg

2)

This force is ALWAYS ATTRACTIVE

ELECTRIC FORCE

1 2

2E

q qF K

r

⋅=

q is charge in Coulombs (C),

r is distance between the two objects in meters (m)

K is a constant (9 x 109 N m

2/C

2).

Opposite Charges will ATRACT.

Same Charges will REPEL

FORCES Equation: FNET = m∙a

Weight Fg = m ∙ag

All masses are in kg All Forces are in Newtons

Forces to Include on Free Body Diagram (Force Diagram)

• Force of Gravity – Fg

• Normal Force – FN

• Frictional Force – Ff

• Applied Force – FA

Carry (flat surface) Glide, Coast (a=0m/s2) No motion (d = 0 m)

Important Masses Mass of Electron (mE) = 9.11 x 10-31 kg Mass of Proton (mP) = 1.68 x 10-27 kg

Important Charges Charge of Electron (qE) = -1.6 x 10-19 C Charge of Proton (qP) = +1.6 x 10-19 C