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.

F₁₂ = G (m₁)m₂) /r² = G (1)(1) / 1² = G/1 = G

F₁₃ = G (m₁)m₃) /r² = G (1)(1) / 1² = G/1 = G

Mphamvu yokoka yomwe imabwera pambuyo pake pa mfundo 1:

F₁ = √1²+1² = √1+1 = √2 Newton

2. Chithunzi chili pansipa chikuwonetsa zinthu zitatu m₁ = 6 kg; m₂ = 3 kg ndi m₃ = 4 kg atagona pamzere wowongoka. Dziwani kukula ndi komwe mphamvu yokoka yomwe imachokera ku m2! (muli mu G)

Zodziwika:

m₁ = makilogalamu 6

m₂ = makilogalamu 3

m₃ = makilogalamu 4

mphamvu yokoka = G

r₂₁ = 4 m

r₂₃ = 2 m

SE basi: Mphamvu yokoka yomwe imapezeka chifukwa cha F ndi m₂

yankho;

Mphamvu yokoka pakati pa m₂ ndi m₃:

F = G (3)(4) / 2² = G 12 / 4 = 3G

Mphamvu yokoka pakati pa m₂ ndi m₁:

F = G (3)(6) / 4² = 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 = makilogalamu 1

m_B = makilogalamu 2

r_PA = 2 m

r_PB = 2 m

Mphamvu yokoka yokhazikika = G

SE basi: Mphamvu yokoka ya E pa mfundo P

yankho;

E_PA = G (m_A) /r² = G (1) / 2² = G/4 = 0,25G

E_PB = G (m_B) /r² = G (2) / 2² = 2G/4 = 0,5G

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

E = √0,25G²+0,5G² = √0,0625G²+0,25G² = √0,3125G² = 0,56G N/kg