Ka hoʻohālikelike umekaumaha

3 mau nīnau e pili ana i ka hoʻohālikelike Gravity

1. ʻEkolu mau ʻāpana me ke kaumaha o 1 kg ma nā piko o kahi huinakolu like ʻaoʻao nona nā ʻaoʻao he 1 m ka lōʻihi. Pehea ka nui o ka ikaika umekaumaha i ʻike ʻia e kēlā me kēia ʻāpana kiko (ma G)?

pāʻoihana

ʻO ka nui o ka ikaika umekaumaha i ʻike ʻia e kekahi o nā ʻāpana.

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

Ka hopena o ka ikaika umekaumaha ma ke kiko 1:

F ₁ = √1 ² +1 ² = √1+1 = √2 Nā Newton

2. Hōʻike ke kiʻi ma lalo nei i ʻekolu mau mea m ₁ = 6 kg; m ₂ = 3 kg a me m ₃ = 4 kg e moe ana ma kahi laina pololei. E hoʻoholo i ka nui a me ke kuhikuhi o ka ikaika umekaumaha hopena i ʻike ʻia e m2! (e haʻi ma G)

ʻIke ʻia:

m₁ = 6 kg

m2 = ₃ kg

m3 = ₄ kg

kūpaʻa umekaumaha = G

r ₂₁ = 4 mika

r ₂₃ = 2 mika

Makemake ʻia: F ka hopena o ke kaumaha i ʻike ʻia e m ₂

pāʻoihana:

ʻO ka ikaika umekaumaha ma waena o m ₂ a me m ₃ :

F = G (3)(4) / 2 ² = G 12 / 4 = 3G

ʻO ka ikaika umekaumaha ma waena o m ₂ a me m ₁ :

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

3. Ua hoʻokaʻawale ʻia ka mea A me ke kaumaha o 1 kg a me ka mea B me ke kaumaha o 2 kg ma kahi mamao o 2 m mai kekahi i kekahi. ʻO ke kiko P he 2 m mai ka mea A a he 2 m mai ka mea B. Pehea ka ikaika o ke kahua umekaumaha ma ke kiko P?

ʻIke ʻia:

m _A = 1 kg

m _B = 2 kg

r _PA = 2 m

r _PB = 2 m

Paʻa o ke kaumaha = G

Makemake ʻia: E umekaumaha ma ke kiko P

pāʻoihana:

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

Ka hopena o ka ikaika o ke kahua umekaumaha ma kahi P:

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