Ibu Ike Ike Ike - Nsogbu na Ngwọta

Ibu Ike Ike Ike Ise - Nsogbu na Ngwọta

1. Kedu ike ndọda na-arụ ọrụ n'ihe dị n'elu ụwa? Oke ụwa = 5.98 x 10 ²⁴ kg, oke ihe = 1000 kg, radius nke Ụwa bụ 6.38 x 10 ⁶ m.

A maara:

Oke nke ụwa (m _E ) = 5.98 x 10 ²⁴ kg

Ibu ihe (m _o ) = 1000 kg

Oke okirikiri nke ụwa (r _E ) = 6.38 x 10 ⁶ m

Ihe na-agbanweghi agbanwe (G) = 6.67 x 10 ^-11 N m ² / kg ²

Ọsọ ọsọ nke ike ndọda (g) = 9.8 m/s ²

Achọsiri ike: Ike nke ike ndọda

Ngwọta:

w = ibu, F = ike, G = ihe na-agbanwe agbanwe zuru ụwa ọnụ, m _E = ibu ụwa , m _o = ibu ihe , r = anya dị n'etiti etiti ụwa na ihe.

Ihe ahụ dị n'elu ụwa, yabụ r = t radius nke Ụwa

Ibu ihe ( iwu nke abụọ nke mmegharị nke Newton ):

w = mg

w = (1000 kg)(9.8 m/s ² )

w = 9800 N

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2. Kedu ike ndọda na-arụ ọrụ n'ihe dị mita 10,000 n'elu ụwa? Oke ụwa = 5.98 x 10 ²⁴ kg, oke ihe = 1000 kg, radius nke Ụwa bụ 6.38 x 10 ⁶ m.

Ngwọta:

3. Ibu nke ụgbọ elu bụ w. Ọ bụrụ na D = dayameta nke ụwa, chọpụta ibu nke ụgbọ elu ahụ mgbe ụgbọ elu ahụ dị na 2D n'elu elu ụwa.

A maara:

D = Dayameta ụwa,

R = okirikiri nke Ụwa

1 D = 2 R, 2 D = 4 R

Ị chọrọ: ibu nke ụgbọ elu mbara igwe dị 2D n'elu elu ụwa?

Ngwọta:

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4. Oke nke oke nke mbara ala A na mbara ala B bụ 2: 3, ebe oke nke radius nke mbara ala A na mbara ala B bụ 1: 2. Ọ bụrụ na ibu nke ihe dị na mbara ala A bụ w, kedu ka ibu nke ihe dị na mbara ala B si dị?

A maara:

Ibu nke mbara ala A (m _A ) = 2

Ibu nke mbara ala B (m _B ) = 3

Radius nke mbara ala A (rA ₎ = 1

Radius nke mbara ala B (rB ₎ = 2

Ibu nke ihe = m

Ibu ihe dị n'elu ụwa A = w

Achọtara: Ibu ihe dị n'elu mbara ala B

Ngwọta:

Usoro nke ike nke ibu site na iwu nke ike ndọda Newton:

w = ibu, G = ihe ndọda na-agbanwe agbanwe, M = ibu nke mbara ala, m = ibu nke ihe, r = anya dị n'etiti ihe na mbara ala. Ọ bụrụ na ihe dị na mbara ala ahụ dị elu r = radius nke mbara ala ahụ.

Ibu ihe dị na mbara ala A:

Ibu ihe dị na mbara ala B:

Ibu ihe ahụ bụ otu ihe ahụ, ya mere e ji tinye ya na w/2G n'ọnọdụ m.

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5. A na-awụlikwa rọketi nwere ibu nke w n'elu ụwa kwụ ọtọ. D bụ dayameta nke ụwa. Mgbe rọketi ahụ dị n'ogo 0.5 D n'elu elu ụwa, kedu ka rọketi ahụ dị?

A maara:

Ibu rọketi = w

Oke anya site na etiti ụwa = R

Dayameta nke Ụwa = D = 2R

Achọtara: Ibu arọ nke rọketi mgbe rọketi ahụ dị elu nke 0.5 D n'elu elu ụwa.

Ngwọta:

0.5 D = 0.5 (2R) = R

Ogologo nke rọketi site n'etiti ụwa = radius nke ụwa + radius nke rọketi site n'elu ụwa = R + R = 2R

Ibu bụ ike ndọda nke na-arụ ọrụ n'ihe. Ike ndọda (F) na-agbanwe agbanwe na square nke anya site na etiti ụwa (R) nke mere na ibu ahụ na-agbanwe agbanwe na square nke anya ahụ.

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