Nauyin Ƙarfin Nauyi - Matsaloli da Magani

Nauyin Ƙarfin Nauyi 5 - Matsaloli da Magani

1. Menene ƙarfin nauyi da ke aiki a kan wani abu a saman Duniya? Nauyin Duniya = 5.98 x 10 ²⁴ kg, nauyin abu = 1000 kg, radius na Duniya shine 6.38 x 10 ⁶ m.

An sani:

Nauyin Duniya (m _E ) = 5.98 x 10 ²⁴ kg

Nauyin abu (m _o ) = 1000 kg

Radius na Duniya (r _E ) = 6.38 x 10 ⁶ m

Daidaitaccen abu na duniya (G) = 6.67 x 10 ^-11 N m ² / kg ²

Saurin gudu saboda nauyi (g) = 9.8 m/s ²

Ana so: Ƙarfin Nauyi

Magani:

w = nauyi, F = ƙarfi, G = daidaiton duniya, m _E = nauyin Duniya , m _o = nauyin abu , r = nisan da ke tsakanin tsakiyar Duniya da abu.

Abin yana saman Duniya, don haka r = t radius na Duniya

Nauyin abu ( dokar motsi ta biyu ta Newton ):

w = mg

w = (1000 kg)(9.8 m/s ² )

w = 9800 N

[irp]

2. Menene ƙarfin nauyi da ke aiki akan wani abu a nisan mita 10,000 sama da saman Duniya? Nauyin Duniya = 5.98 x 10 ²⁴ kg, nauyin abu = 1000 kg, radius na Duniya shine 6.38 x 10 ⁶ m.

Magani:

3. Nauyin jirgin sama mai girman w. Idan D = diamita na Duniya, a tantance nauyin jirgin sama mai girman 2D a sama da saman Duniya.

An sani:

D = Diamita na Duniya,

R = radius na Duniya

1 D = 2 R, 2 D = 4 R

Ana so: nauyin jirgin sama mai girman 2D sama da saman Duniya?

Magani:

[irp]

4. Rabon taro na duniyar A da ta B shine 2: 3, yayin da rabon radius na duniyar A da ta B shine 1: 2. Idan nauyin abu a duniyar A shine w, menene nauyin abu a duniyar B.

An sani:

Nauyin duniya A (mA ₎ = 2

Nauyin duniya B (m _B ) = 3

Radius na duniyar A (rA ₎ = 1

Radius na duniya B (rB ₎ = 2

Nauyin abu = m

Nauyin abu a duniya A = w

Ana nema: Nauyin abu a duniya B

Magani:

Daidaiton ƙarfin nauyi daga dokar nauyi ta Newton:

w = nauyi, G = daidaitaccen nauyi, M = taro na duniya, m = taro na abu, r = nisan da ke tsakanin abu da duniya. Idan abu a duniyar ya bayyana r = radius na duniya.

Nauyin abu a duniya A:

Nauyin abu akan duniya B:

Nauyin abu iri ɗaya ne don haka maye gurbin m da w/2G.

[irp]

5. Ana harba roka mai nauyin w a tsaye daga saman Duniya. D shine diamita na Duniya. Lokacin da rokar take a tsayin 0.5 D sama da saman Duniya, to menene nauyin rokar.

An sani:

Nauyin roka = w

Radius na Duniya = nisan daga tsakiyar Duniya = R

Diamita na Duniya = D = 2R

Ana so: Nauyin roka lokacin da rokar ta kai tsayin 0.5 D sama da saman Duniya.

Magani:

0.5 D = 0.5 (2R) = R

Nisa tsakanin roka da tsakiyar duniya = radius na Duniya + radius na roka daga saman Duniya = R + R = 2R

Nauyi shine ƙarfin nauyi wanda ke aiki akan abu. Ƙarfin nauyi (F) yana daidai da murabba'in nisan daga tsakiyar duniya (R) don haka nauyin ya yi daidai da murabba'in nisan.

1. Dokar Newton ta matsalolin nauyi da mafita na duniya
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