I-equation yomxhuzulane

Imibuzo emi-3 malunga ne-Gravity equation

1. Amasuntswana amathathu ngalinye elinobunzima obuyi-1 kg akwiincopho zonxantathu olinganayo onamacala angama-1 m ubude. Ingakanani amandla omxhuzulane afunyanwa yisuntswana nganye yenqaku (kwi-G)?

isisombululo

Ubukhulu bamandla omxhuzulane afunyanwa ngomnye wamasuntswana.

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

Amandla omxhuzulane aphumayo kwinqanaba loku-1:

F ₁ = √1 ² +1 ² = √1 + 1 = √2 IiNewton

2. Umfanekiso ongezantsi ubonisa izinto ezintathu m ₁ = 6 kg; m ₂ = 3 kg kwaye m ₃ = 4 kg zilele kumgca othe tye. Chonga ubukhulu kunye necala lamandla axhuzulayo afunyenwe yi-m2! (imeko kwi-G)

Kwaziwa:

m₁ = 6kg

m2 = ₃ kg

m3 = ₄ kg

i-consistent gravitational = G

r ₂₁ = 4 m

r ₂₃ = 2 m

Kufunwa: Ubunzima obuvela ku-F obufunyenwe yi- _m2

isisombululo:

Amandla omxhuzulane phakathi kwe-m2 _kunye ne- _m3 :

F = G (3)(4) / 2 ² = G 12 / 4 = 3G

Amandla omxhuzulane phakathi kwe-m2 _kunye ne- _m1 :

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

3. Into A enobunzima obuyi-1 kg kunye nento B enobunzima obuyi-2 kg zahlulwe ngumgama we-2 m ukusuka kwenye. Inqaku P liyi-2 m ukusuka kwenye into A kunye ne-2 m ukusuka kwenye into B. Inamandla kangakanani intsimi yomxhuzulane kwindawo P?

Kwaziwa:

m _A = 1 kg

m _B = 2 kg

r _PA = 2 m

r _PB = 2 m

I-gravity constant = G

Kufunwa: Ubunzima obuphezulu kwindawo P

isisombululo:

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

Amandla entsimi yomxhuzulane aphumayo kwindawo P:

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