Equation ya mphamvu yokoka

Mafunso atatu okhudza Gravity equation

1. Tinthu titatu tating'onoting'ono tolemera makilogalamu 1 tili pamalo otsetsereka a makona atatu ofanana omwe mbali zake ndi zazitali mamita 1. Kodi mphamvu yokoka yomwe tinthu tating'onoting'ono timapezeka mu G ndi yaikulu bwanji?

Anakonza

Kukula kwa mphamvu yokoka yomwe imawonedwa ndi chimodzi mwa tinthu tating'onoting'ono.

F ₁₂ = G (m ₁ )(m ₂ ) / r ² = G (1)(1) / 1 ² = G/1 = G

F ₁₃ = G (m ₁ )(m ₃ ) / r ² = G (1)(1) / 1 ² = G/1 = G

Mphamvu yokoka yomwe imabwera pambuyo pake pa mfundo 1:

F ₁ = √1 ² +1 ² = √1 + 1 = √2 Ma Newton

2. Chithunzi chili pansipa chikuwonetsa zinthu zitatu m ₁ = 6 kg; m ₂ = 3 kg ndipo m ₃ = 4 kg zili pamzere wowongoka. Dziwani kukula ndi komwe mphamvu yokoka imachokera ku m2! (muli mu G)

Zodziwika:

m₁ = makilogalamu 6

m2 = ₃ kg

m3 = ₄ kg

mphamvu yokoka = G

r ₂₁ = 4 m

r ₂₃ = 2 m

Kufunidwa: Mphamvu yokoka yomwe imabwera chifukwa cha F imapezeka ndi _m2

yankho;

Mphamvu yokoka pakati pa m ₂ ndi m ₃ :

F = G (3)(4) / 2 ² = G 12 / 4 = 3G

Mphamvu yokoka pakati pa m ₂ ndi m ₁ :

F = G (3)(6) / 4 ² = G 18 / 16 = 1,125G

3. Chinthu A chokhala ndi kulemera kwa 1 kg ndi chinthu B chokhala ndi kulemera kwa 2 kg zimalekanitsidwa ndi mtunda wa 2 m kuchokera kwa wina ndi mnzake. Point P ili 2 m kuchokera kwa chinthu A ndi 2 m kuchokera kwa chinthu B. Kodi mphamvu yokoka pa point P ndi yotani?

Zodziwika:

m _A = 1 kg

m _B = 2 kg

r _PA = 2 m

r _PB = 2 m

Mphamvu yokoka yokhazikika = G

Akufuna: Mphamvu yokoka ya E pamalo P

yankho;

E _PA = G (m _A ) / r ² = G (1) / 2 ² = G/4 = 0,25G

E _PB = G (m _B ) / r ² = G (2) / 2 ² = 2G/4 = 0,5G

Mphamvu yokoka yomwe imabwera chifukwa cha mphamvu yokoka pa mfundo P:

E = √0,25G ² +0,5G ² = √0,0625G ² +0,25G ² = √0,3125G ² = 0,56G N/kg