Kuenzanisa kwegiravhiti

Mibvunzo mitatu pamusoro peGravity equation

1. Zvidimbu zvitatu chimwe nechimwe chine huremu hwe1 kg zviri pamucheto wetriangle yakaenzana ine mativi akareba mita imwe. Simba regiravhiti rinowanikwa nechikamu chimwe nechimwe (muG) rakakura sei?

mhinduro

Hukuru hwesimba rinokwevera pasi rinoonekwa nechimwe chezvikamu.

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

Simba rinokwevera pasi rinobuda pachikamu chekutanga:

F ₁ = √1 ² +1 ² = √1 + 1 = √2 MaNewton

2. Mufananidzo uri pazasi unoratidza zvinhu zvitatu m ₁ = 6 kg; m ₂ = 3 kg uye m ₃ = 4 kg zvakarara pamutsetse wakatwasuka. Sarudza hukuru uye gwara resimba rinokwevera rakawanikwa ne m2! (mamiriro ari mu G)

Anozivikanwa:

m₁ = 6 kg

m2 = ₃ kg

m3 = ₄ kg

simba rinokwevera pasi = G

r ₂₁ = 4 m

r ₂₃ = 2 m

Zvinodiwa: Simba rinokwevera pasi rinoonekwa ne _m2 rinokonzereswa ne F

Solution:

Simba rinokwevera pasi riri pakati pe _m2 ne _m3 :

F = G (3)(4) / 2 ² = G 12 / 4 = 3G

Simba rinokwevera pasi riri pakati pe _m2 ne _m1 :

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

3. Chinhu A chine huremu hwe1 kg uye chinhu B chine huremu hwe2 kg zvakaparadzaniswa nedaro re2 m kubva kune chimwe nechimwe. Poindi P iri 2 m kubva kune chimwe chinhu A uye 2 m kubva kune chimwe chinhu B. Simba regiravhiti rakasimba sei panzvimbo P?

Anozivikanwa:

m _A = 1 kg

m _B = 2 kg

r _PA = 2 m

r _PB = 2 m

Simba regiravhiti = G

Zvinodiwa: E simba rinokwevera pasi paP

Solution:

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

Simba regiravhiti rinobuda panzvimbo P:

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