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AP Physics Formula Sheet

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AP PHYSICS FORMULA SHEET
V=
m=
Δx
a=
Δt
y2 −y1
x2 −x1
ΔV
s=
Δt
V=
d
xf −xi
tf −ti
xt = x1 + x2 + x3
Savg =
Friction:
t
d1 + d2 + d3
t1 + t 2 + t 3
Kinematics:
Horizontal Motion
𝑉𝑓 = 𝑉𝑖 + π‘Žπ‘‘
1
𝑋 = π‘Žπ‘‘ 2
2
π‘Š = π‘šπ‘”
𝐹𝑛𝑒𝑑 = π‘šπ‘Ž 𝐹𝑠 = −π‘˜π‘₯
Fnet = F1 + F2 + F3
µπ‘  =
𝑓𝑠
𝑁
=
𝑓𝑠
π‘šπ‘”
π‘“π‘˜
𝑁
π›₯π‘₯ = π‘£π‘Žπ‘£π‘” βˆ™ π›₯𝑑
1
π›₯π‘₯ = π‘β„Ž
2
*Pendulum
2
𝑇 = 2πœ‹ ∗ √
Vertical Motion
𝑉𝑓 = 𝑉𝑖 + 𝑔𝑑
2
β„“
𝑔
Constants:
𝑔 = 9.8
𝑁
π‘˜π‘”
π‘œπ‘Ÿ
π‘š
𝑠2
1π‘˜π‘” = 9.8𝑁
π‘”π‘šπ‘œπ‘œπ‘› = 1.62
𝑉𝑓 + 𝑉𝑖
=
2
𝑉π‘₯𝑖 = 𝑉𝑖 cos θ
𝑉𝑦𝑖 = 𝑉𝑖 sin θ
Copyright 2020 SKenley
eSTEM Academy Physics Department
1𝑙𝑏 = 4.448𝑁
𝑁
𝐾𝑔
1𝑁 = 0.225𝑙𝑏𝑠
2
𝑉𝑓 = 𝑉𝑖 + 2𝑔π›₯π‘₯
π‘‰π‘Žπ‘£π‘”
π‘šπ‘”
*Displacement (v-t graphs)
𝑉𝑓 + 𝑉𝑖
=
2
1
π‘Œπ‘“ = π‘Œπ‘– + 𝑉𝑖 𝑑 + 𝑔𝑑 2
2
π‘“π‘˜
π‘“π‘˜ = µπ‘˜ 𝑁 = µπ‘˜ π‘šπ‘”
𝑉𝑓 2 = 𝑉𝑖 2 + 2π‘Žπ›₯π‘₯
1
π‘Œ = 𝑔𝑑 2
2
=
𝑓𝑠 = µπ‘  𝑁 = µπ‘  π‘šπ‘”
1
𝑋𝑓 = 𝑋𝑖 + 𝑉𝑖 𝑑 + π‘Žπ‘‘ 2
2
π‘‰π‘Žπ‘£π‘”
µπ‘˜ =
1𝑁 = 3.6π‘œπ‘§
1π‘˜π‘” = 2.2𝑙𝑏𝑠
AP PHYSICS FORMULA SHEET
*Projectile Motion
*Kepler’s 3rd Law
Components of vector “A”
(may be a, v, x, F, etc.)
𝑇𝐴 2
𝑅𝐴 3
( ) =( )
𝑇𝐡
𝑅𝐡
𝐴π‘₯ = Acos πœƒ
*Work/Energy/Power:
𝐴𝑦 = Asin πœƒ
Work
Resultant of Ax and Ay
𝟐
𝐴 = √𝑨𝒙 + π‘¨π’š
tan πœƒ = |
𝟐
𝐴𝑦 −1
|
𝐴π‘₯
π‘Š = 𝐹 βˆ™ π›₯π‘₯
π‘Š = 𝐹 βˆ™ π›₯π‘₯ βˆ™ π‘π‘œπ‘ πœƒ
π‘Š = (π‘š βˆ™ 𝑔) βˆ™ π›₯β„Ž
π‘Š = (π‘š βˆ™ 𝑔) βˆ™ π›₯𝑦
Work-Energy Theorem
Equivalent of Resultant “A”
π‘Š = π›₯𝐸
π΄π‘’π‘žπ‘’π‘–π‘™π‘–π‘π‘Ÿπ‘Žπ‘›π‘‘ = −π΄π‘Ÿπ‘’π‘ π‘’π‘™π‘‘π‘Žπ‘›π‘‘
π‘Š = π›₯𝐾𝐸
*Gravitational Field Strength
π‘Š = π›₯𝑃𝐸
𝑔=
πΊπ‘š
π‘Ÿ2
*m is the mass of the more
massive object!
Kinetic Energy:
1
𝐾𝐸 = π‘šπ‘£ 2
2
1
Δ𝐾𝐸 = π‘š(𝑣2 − 𝑣1 )2
2
*Force Between Two Masses
(gravitation)
πΉπ‘”π‘Ÿπ‘Žπ‘£
πΊπ‘š1 π‘š2
=
π‘Ÿ2
Gravitational Potential Energy:
π›₯𝑃𝐸𝑔 = (π‘š βˆ™ 𝑔) βˆ™ π›₯β„Ž
π›₯𝑃𝐸𝑔 = (π‘š βˆ™ 𝑔) βˆ™ ( β„Ž2 − β„Ž1 )
π›₯𝑃𝐸𝑔 = (π‘š βˆ™ 𝑔) βˆ™ π›₯𝑦
π›₯𝑃𝐸𝑔 = (π‘š βˆ™ 𝑔) βˆ™ ( 𝑦2 − 𝑦1 )
Copyright 2020 SKenley
eSTEM Academy Physics Department
AP PHYSICS FORMULA SHEET
Elastic Potential Energy
1
Δπ‘ƒπΈπ‘’π‘™π‘Žπ‘  = π‘˜(π‘₯2 − π‘₯1 )2
2
π‘ƒπΈπ‘’π‘™π‘Žπ‘ 
1
= π‘˜ βˆ™ π‘₯2
2
Conservation of Mechanical Energy
π‘€πΈπ‘–π‘›π‘–π‘‘π‘–π‘Žπ‘™ = π‘€πΈπ‘“π‘–π‘›π‘Žπ‘™
πΈπ‘–π‘›π‘–π‘‘π‘–π‘Žπ‘™ = πΈπ‘“π‘–π‘›π‘Žπ‘™
𝐾𝐸𝑖 + π‘ƒπΈπ‘”π‘Ÿπ‘Žπ‘£ + π‘ƒπΈπ‘’π‘™π‘Žπ‘  + 𝑃𝐸𝑒𝑙𝑒𝑐 =
𝐾𝐸𝑓 + π‘ƒπΈπ‘”π‘Ÿπ‘Žπ‘£ + π‘ƒπΈπ‘’π‘™π‘Žπ‘  + 𝑃𝐸𝑒𝑙𝑒𝑐
Spring Force/Restoring Force
πΉπ‘ π‘π‘Ÿπ‘–π‘›π‘” = −π‘˜π‘₯
Electrical Power
𝑃 = 𝐼𝑉
Work-Kinetic Energy Theorem
π‘Š = π›₯π‘ƒπΈπ‘”π‘Ÿπ‘Žπ‘£
π‘Š = π›₯π‘ˆ
π‘Šπ‘›π‘’π‘‘ = π›₯𝐾𝐸
π‘Šπ‘›π‘’π‘‘ = π›₯𝐾𝐸
π‘Šπ‘›π‘’π‘‘ = π›₯𝐾𝐸 + π‘ˆ
Power
𝑃=
π›₯𝐸
π›₯𝑑
𝑃=
π›₯𝐾𝐸
π›₯𝑑
𝑃=
π‘Š
π›₯𝑑
𝑃=
π›₯𝑃𝐸
π›₯𝑑
Copyright 2020 SKenley
eSTEM Academy Physics Department
1
1
π‘Šπ‘›π‘’π‘‘ = π‘šπ‘£2 2 − π‘šπ‘£1 2
2
2
AP PHYSICS FORMULA SHEET
Period
𝑑=
Vertical Circles
Tension on Top
1
𝑓
π‘‡π‘‘π‘œπ‘ =
π‘šπ‘£ 2
− π‘šπ‘”
π‘Ÿ
Circumference
Tension on Bottom
𝐢 = 2πœ‹π‘Ÿ
Centripetal Acceleration
π‘Žπ‘ =
+ π‘šπ‘”
π‘Ÿ
π‘Ÿ
w/ Angular Speed
𝑣2
π‘Ÿ
=
(π‘Ÿπ‘€)2
π‘Ÿ
= π‘Ÿπ‘€ 2
Tangential Velocity
𝑉=
π‘šπ‘£ 2
Minimum Speed at Top of Circle
𝑣2
Centripetal Acceleration
π‘Žπ‘ =
π‘‡π‘π‘œπ‘‘ =
2πœ‹π‘Ÿ
𝑑
𝑣𝑖 = √π‘”π‘Ÿ
Banked Curve
π‘π‘ π‘–π‘›πœƒ =
π‘‘π‘Žπ‘›πœƒ =
π‘šπ‘£ 2
π‘Ÿ
𝑣2
π‘Ÿπ‘”
Orbital Velocity
πΊπ‘š
𝑉 = 2πœ‹π‘Ÿπ‘“
π‘‰π‘œπ‘Ÿπ‘ = √
Arc Length
Orbital Period
𝑆 = π‘Ÿπœƒ
𝑇 = 2πœ‹√
π‘Ÿ
π‘Ÿ3
πΊπ‘š
Angular Speed
2πœ‹
π‘Š=
= 2πœ‹π‘“
𝑇
π‘Š=
πœƒ
𝑇
Reading a Curve
𝑁 = π‘šπ‘”
𝑓=
π‘šπ‘£ 2
µπ‘  =
Copyright 2020 SKenley
eSTEM Academy Physics Department
π‘Ÿ
𝑓𝑠
𝑁
AP PHYSICS FORMULA SHEET
Sebas’s Stuff to Remember
𝑔 = 9.8
𝑁
π‘˜π‘”
π‘œπ‘Ÿ
π‘”π‘šπ‘œπ‘œπ‘› = 1.62
π‘š
𝑠2
1 kg = 2.2 lbs.
𝑁
𝐾𝑔
1N= 0.225 lbs.
1 lb. = 4.448N
1π‘˜π‘” = 9.8𝑁
1 Hrspr.= 746W
1𝑁 = 0.225𝑙𝑏𝑠
1 W= 1J/ sec.
1𝑙𝑏 = 4.448𝑁
1𝑁 = 3.6π‘œπ‘§
1π‘˜π‘” = 2.2𝑙𝑏𝑠
𝐺 = 6.67 × 10−11
π‘π‘š2
π‘Ÿ2
π‘šπ‘’π‘Žπ‘Ÿπ‘‘β„Ž = 5.98 × 1024 π‘˜π‘”
π‘Ÿπ‘’π‘Žπ‘Ÿπ‘‘β„Ž = 6.38 × 106 π‘š
1 π‘Ÿπ‘Žπ‘‘π‘–π‘Žπ‘› = 5.37 π‘‘π‘’π‘”π‘Ÿπ‘’π‘’π‘ 
π‘Ÿπ‘Žπ‘‘π‘–π‘Žπ‘›π‘ 
πœ” = 6.28
πœ” = 2πœ‹
𝑠𝑒𝑐
π‘Ÿπ‘Žπ‘‘π‘–π‘Žπ‘›π‘ 
πœ”=
πœ” = 6.28
𝑠𝑒𝑐
360°
𝑠𝑒𝑐
π‘Ÿπ‘Žπ‘‘π‘–π‘Žπ‘›π‘ 
𝑠𝑒𝑐
Copyright 2020 SKenley
eSTEM Academy Physics Department
AP PHYSICS FORMULA SHEET
Copyright 2020 SKenley
eSTEM Academy Physics Department
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