PHYS1111 - Formula Sheet - T3 2020 PDF

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PHYS1111 Fundamentals of Physics

Data and Formula Sheet Electric forces and fields

𝐹=

𝑘𝑞! 𝑞" 𝑟"

𝐸=

𝑘𝑄 𝑟"

𝑄 𝑡

𝑉=

𝑘𝑄 𝑟

𝑉 = 𝐸𝑑

𝐼=

𝑉 = 𝐼𝑅

𝑅#$# = 𝑅! + 𝑅" + 𝑅% + ⋯

1 1 1 1 = + + +⋯ 𝑅#$# 𝑅! 𝑅" 𝑅%

𝑃=

𝑃 = 𝑉𝐼

ℎ𝑓 = Φ + 𝐾𝐸

𝐸 = ℎ𝑓

𝐸 𝑡

Thermodynamics

𝑄 𝑘𝐴Δ𝑇 = 𝑡 Δ𝑥

𝑃&'# = 𝜎𝐴𝑒(𝑇() − 𝑇$) )

𝑄 = 𝑚𝑐Δ𝑇

𝐹 = 𝜌𝑉𝑔

𝑃! 𝑉! = 𝑃" 𝑉" = constant

𝑉 = constant 𝑇

𝑃 = constant 𝑇

𝑃𝑉 = 𝑛𝑅𝑇

𝑛=

𝑛! 𝑇! = 𝑛" 𝑇"

𝑚 = 𝑛𝑀+,-

𝑃 = 𝜌𝑔ℎ

𝐴! 𝑣! = 𝐴" 𝑣"

𝑃=

𝑄 = 𝑚𝐿 Fluid mechanics

𝜌=

𝑃= 𝑃+ 1

𝑚 𝑉

𝑁 𝑁* 𝐹 𝐴

1 " 𝜌𝑣 + 𝜌𝑔𝑦 = constant 2

𝑅𝑒 =

𝜌𝑣𝑑 𝜂

Motion, forces and energy

𝐹 = 𝑚𝑔

𝐹=

∑𝐹 𝑎= 𝑚

𝐺𝑚! 𝑚" 𝑟"

1 𝑦 = 𝑦. + 𝑣/.𝑡 + 𝑎/ 𝑡 " 2

𝑣 " = 𝑣." + 2𝑎/ (𝑦 − 𝑦. )

𝐹0- = 𝜇( 𝑁

𝑣=

𝑣 = 𝑣. + 𝑎𝑡

𝐹0- = 𝜇1 𝑁

𝑝 = 𝑚𝑣

𝐹𝑡 = Δ𝑝 = 𝑚(𝑣0 − 𝑣, )

𝑎=

𝑠 𝑡

𝑣0 − 𝑣, 𝑡

𝑚! 𝑣,! + 𝑚" 𝑣," = 𝑚! 𝑣0! + 𝑚" 𝑣0"

𝑣 = 𝜔𝑟 𝜔=

Δ𝜃 𝑡

𝑎=

𝑊 = 𝐹𝑑

𝑣" 𝑟

𝐹=

𝑚𝑣 " 𝑟

1 𝐾 = 𝑚𝑣 " 2

𝑈 = 𝑚𝑔𝑦

𝑣*-'23 = 𝑣* − 𝑣3 Waves and optics

𝑓=

1 𝑇

𝐿=

𝑣 = 𝑓𝜆 𝑣 ± 𝑣. b 𝑓4 = 𝑓 ` 𝑣 ± 𝑣(

𝑓& =

ℎ,5+6' ℎ$78'9#

𝑛𝜆 2

𝐿=

𝑛𝑣 , 𝑛 = 1,2,3 … 2𝐿

𝑓& =

𝑛𝜆 4

𝑛𝑣 , 𝑛 = 1,3,5 4𝐿

1 1 1 = + 𝑓 𝑜 𝑖

𝑛! sin 𝜃" 𝜆" 𝑣" = = = 𝑛" sin 𝜃! 𝜆! 𝑣!

𝐹 = 𝐵𝑞𝑣 sin 𝜃

𝐹 = 𝐵𝐼𝑙 sin 𝜃

𝐹=

𝜇. 𝐼 2𝜋𝑟

𝜀 = 𝑉 = −𝑁

magnification = Magnetism

𝐵=

𝜙3 = 𝐵𝐴 cos 𝜃 2

𝑑𝜙3 𝑑𝑡

𝜀: 𝑉: 𝑁: 𝐼; = = = 𝜀; 𝑉; 𝑁; 𝐼:

𝜇. 𝐼! 𝐼" 𝑙 2𝜋 𝑑

𝑉 = 𝑁𝐵𝐴𝜔 sin(𝜔𝑡 )

Nuclear and particle physics

Δ𝑁 Δ𝑡

= −𝑁𝜆

𝑁 = 𝑁. 𝑒...