PHYSICS 12

Kinematics

𝑣 = 𝑣0 + 𝑎𝑡 𝑣 =𝑣 + 𝑣0

2

𝑣2 = 𝑣02 + 2𝑎𝑑 𝑑 = 𝑣0𝑡 +

1

2𝑎𝑡2

Special Relativity

𝑡 =𝑡0

√1−𝑣2

𝑐2

𝑚 =𝑚0

√1−𝑣2

𝑐2

𝑙 = 𝑙0√1 −𝑣2

𝑐2 𝑣 𝑡𝑜𝑡𝑎𝑙 =

𝑣1+ 𝑣2

1+𝑣1𝑣2

𝑐2

𝐸 = 𝑚𝑐2

Forces 𝐹𝑛𝑒𝑡 = 𝑚𝑎 𝐹𝑔 = 𝑚𝑔 𝐹𝑓𝑟 = 𝜇𝐹𝑁

Equilibrium 𝜏 = 𝑑𝐹 ∑ 𝑇𝑐𝑤 = ∑ 𝑇𝑐𝑐𝑤 ∑ 𝐹 = 0 Circular Motion

𝑇 =1

𝑓 𝐹𝑐 = 𝑚𝑎𝑐 𝑎𝑐 =

𝑣2

𝑟=

4𝜋2 𝑟

𝑇2

Fields

𝐹𝑔 = 𝐺𝑚 𝑀

𝑟2 𝐹𝑒 = 𝑘𝑄1𝑄

2

𝑟2 𝐹𝑏 = 𝑄𝑣𝐵 𝐹𝑏 = 𝐵𝐼𝑙

𝑔 = 𝐺𝑀

𝑟2 𝐸 = 𝑘𝑄

𝑟2 𝐵 = 𝜇0 𝑁

𝑙 I

𝑔 =𝐹𝑔

𝑚 𝐸 =

𝐹𝑒

𝑄 ϕ = BA

𝑃𝐸𝑔 = −𝐺𝑚 𝑀

𝑟 𝑃𝐸𝑒 = 𝑘

𝑄1𝑄2

𝑟 ℰ = 𝐵𝑙𝑣

𝑉 = 𝑘𝑄

𝑟 ℰ = −𝑁

∆ϕ

∆𝑡

∆𝑉 =∆𝐸𝑝

𝑄 ℰ = 𝑉𝑏𝑎𝑐𝑘 + 𝐼𝑟

∆𝑉 = 𝐸𝑑 𝑉𝑠

𝑉𝑝=

𝑁𝑠

𝑁𝑝=

𝐼𝑝

𝐼𝑠

Draft for Review June 2017

Momentum 𝑝 = 𝑚𝑣 Δ𝑝 = 𝐹𝑛𝑒𝑡Δ𝑡 ∑ 𝑝𝑖 = ∑ 𝑝𝑖 Electromagnetic Waves

𝑛 =𝑐

𝑣

𝑛1 sin(𝜃1) = 𝑛2 sin(𝜃2)

𝑣 = 𝑓𝜆

p = 𝐸

𝑐

𝐸 = ℎ𝑓 = ℎ𝑐

𝜆

𝑊0 = ℎ𝑓0 𝐾𝐸𝑚𝑎𝑥 = ℎ𝑓 − 𝑊0

𝜆 = ℎ

𝑝

Draft for Review June 2017