Fagen nauyi - matsaloli da mafita

Fagen nauyi - matsaloli da mafita

1. Menene rabon filin nauyi na abu A da abu B?

An sani:

Nauyin abu A (m _A ) = 1

Nauyin abu B (m _B ) = 2

Nisa daga abin A daga duniyar Duniya (rA ₎ = 1

Nisa tsakanin abu B da duniyar Duniya (rB ₎ = 2

Ana so: Rabon filin nauyi na abu A da abu B

Magani:

Daidaiton filin nauyi na Duniya:

g = girman filin nauyi, G = ma'aunin nauyi, m _B = nauyin Duniya, r _B = radius na Duniya

Rabon filin nauyi:

g _A : g _B

G: G/2

1: 1/2

2: 1

2. Idan matsayin abu A shine 0.5R sama da saman Duniya, yayin da matsayin abu B shine 2R sama da saman Duniya, to menene rabon filin nauyi wanda abu A da abu B suka fuskanta. R shine radius na Duniya.

An sani:

Nisa tsakanin abu A da tsakiyar Duniya = 0.5R + R = 1.5R = 1.5

Nisa tsakanin abu B da tsakiyar Duniya = 2R + R = 3R = 3

Ana so: Rabon filin nauyi

Magani:

Filin nauyi da abu A (g _A ) ya fuskanta:

Filin nauyi da abu B (g _B ) ke fuskanta:

Rabon filin nauyi da abu A da abu B suka fuskanta:

3. Filin nauyi a saman Duniya shine g, sannan menene filin nauyi a tsayin 1.5R sama da saman Duniya. R = radius na Duniya.

Magani

Ƙarfin nauyi (F) yana daidai gwargwado kai tsaye da filin nauyi (g). Girman ƙarfin nauyi, girman filin nauyi.

Ƙarfin nauyi (F) yana daidai gwargwado kai tsaye zuwa 1/r ² , inda r = nisan abu daga tsakiyar duniya. Ƙarfin nauyi yana daidai gwargwado kai tsaye zuwa 1/r ² don haka filin nauyi (g) shima yana daidai gwargwado zuwa 1/r ².

Idan ɗan sama jannatin yana saman Duniya wato R (R = radius na duniya) daga tsakiyar duniya, filin nauyi shine g. Ana iya tabbatar da wannan ta hanyar lissafin masu zuwa:

Filin nauyi (g) yana daidai da 1 / R ^2. Idan R = 1 to 1 / R ² = 1/1 ² = 1/1 = 1. Idan nisan ɗan sama jannatin daga tsakiyar duniya = 1 to ɗan sama jannatin zai fuskanci filin nauyi na = (g) (1) = g.

Nisa tsakanin ɗan sama jannatin daga tsakiyar duniya shine 1.5R = 1.5 (1) = 1.5 to ɗan sama jannatin zai fuskanci filin nauyi na: 1 / R ² = 1 / 1.5 ² = 1 / 2.25. Don haka idan nisan ɗan sama jannatin daga tsakiyar duniya = 1.5 to ɗan sama jannatin yana da filin nauyi na = (g) (1 / 2.25) = g / 2.25

4. Menene rabon filin nauyi na duniya ga abubuwa biyu, ɗaya a saman duniya ɗayan kuma a tsayin ½ R daga saman duniya (R = radius na duniya)?

An sani:

Nisa tsakanin abu A da tsakiyar duniya (rA ₎ = R = 1

Nisa tsakanin abu B da tsakiyar duniya (rB ) ₌ 0.5R + R = 1.5R = 1.5

Ana so: Rabon filin nauyi na duniya

Magani:

Filin nauyi na duniya wanda abu A (g _A ) ya fuskanta:

Filin nauyi na duniya wanda abu A (g _B ) ya fuskanta:

Rabon filin nauyi na duniya wanda abu A da abu B suka fuskanta :

1. Menene filin nauyi?
   • amsa: Filin nauyi yana wakiltar sararin da ke kewaye da taro inda duk wani taro ke fuskantar ƙarfi saboda nauyi. Hanya ce ta kwatanta yadda abubuwa ke tasiri ga juna ta hanyar jan hankali ba tare da hulɗa kai tsaye ba.
2. Ta yaya ƙarfin filin nauyi ke canzawa yayin da kake matsawa nesa da nauyin da ke samar da shi?
   • amsa: Ƙarfin filin nauyi yana raguwa da murabba'in nisan da aka samu daga tushen taro. Musamman ma, yana bin dokar murabba'i mai juyi: idan aka ninka nisan, ƙarfin filin zai zama kwata na ƙarfinsa na farko.
3. Ta yaya filin nauyi yake da alaƙa da ƙarfin nauyi?
   • amsa: Ƙarfin filin nauyi a wani wuri a sararin samaniya, wanda aka wakilta ta $g$, an bayyana shi a matsayin ƙarfin nauyi (F) a kowace naúrar taro (m) da aka fuskanta ta hanyar ƙaramin nauyin gwaji da aka sanya a wannan lokacin. A lissafi, $g=F/m$.
4. Ta yaya filin nauyi na Duniya ya bambanta da tsayi?
   • amsa: Yayin da tsayin ke ƙaruwa (yayin da kake matsawa nesa da tsakiyar Duniya), ƙarfin filin nauyi yana raguwa. Wannan shine dalilin da ya sa 'yan saman jannati a cikin sararin samaniya ke fuskantar ƙarancin nauyi, duk da cewa har yanzu suna cikin tasirin nauyi na Duniya.
5. Me ake nufi da cewa filayen nauyi “filayen masu ra'ayin mazan jiya” ne?
   • amsa: Filin da ke da ra'ayin mazan jiya yana nufin cewa aikin da aka yi a kan abu da ke tafiya tsakanin wurare biyu a filin ba ya dogara da hanyar da aka ɗauka. Ga filayen nauyi, wannan yana nufin cewa aikin da ƙarfin nauyi ke yi a kan abu da ke tafiya tsakanin wurare biyu iri ɗaya ne komai hanyar da ya bi.
6. Ta yaya filayen nauyi na taro da yawa ke haɗuwa?
   • amsa: Filayen nauyi daga taro da yawa suna haɗuwa ko haɗuwa ta hanyar vectorially. A kowane lokaci, filin nauyi da aka samu shine jimlar vector na filayen nauyi da kowane taro ɗaya ya samar.
7. Ta yaya nauyin abu ke shafar filin nauyi da yake samarwa?
   • amsa: Filin nauyi da abu ya samar yana daidai da nauyinsa kai tsaye. Babban abu zai samar da filin nauyi mai ƙarfi.
8. Ta yaya ake auna ƙarfin filin nauyi?
   • amsa: Ana auna ƙarfin filin nauyi ta hanyar amfani da ƙarfin kowace naúrar nauyi. A cikin tsarin naúrar SI, ana auna shi a cikin $N/kg$ (Newtons a kowace kilogiram).
9. Shin filayen nauyi za su iya aiki? Idan haka ne, ta yaya?
   • amsa: Eh, filayen nauyi na iya yin aiki. Lokacin da wani abu ya motsa zuwa ga filin nauyi (kamar apple yana faɗuwa zuwa Duniya), filin nauyi yana aiki akan abu, kuma kuzarin ƙarfin nauyi na abu yana raguwa.
10. Menene alaƙar da ke tsakanin filin nauyi da makamashin ƙarfin nauyi?

• amsa: Makamashin ƙarfin nauyi shine makamashin da abu yake da shi saboda matsayinsa a filin nauyi. Canjin kuzarin ƙarfin nauyi na abu yana da alaƙa da aikin da ƙarfin nauyi ke yi yayin da abu ke motsawa. Ana iya samun filin nauyi daga gradient (ko space derivative) na ƙarfin nauyi.