Ihe atụ nke osooso ike ndọda

Ihe atụ anọ nke nsogbu ọsọ ọsọ nke ike ndọda

1. Olee otú oke ike ndọda si dị n'elu ọnwa? Oke nke ọnwa = 7,35 x 10²² kg, radius nke ọnwa = mita 1.740.000, ihe ndọda ụwa niile (G) = 6,67 x 10^-11 Mba. m² / n'arọ²
Mkparịta ụka
Usoro iwu nke abụọ nke Newton:

Nkọwa: G = ihe na-agbanwe agbanwe nke ike ndọda zuru ụwa ọnụ, M = oke nke ụwa, m = oke nke ihe ahụ, r = anya site na etiti ụwa ruo ihe ahụ. Ọ bụrụ na ihe ahụ dị n'elu ụwa ma ọ bụ nso elu ụwa, r = radius nke ụwa.

Jiri usoro a gbakọọ osooso n'ihi ike ndọda (g) n'elu ụwa, ebe M = oke nke ụwa, satịlaịtị, kpakpando wdg. na r = radius nke ụwa, satịlaịtị, kpakpando wdg.
Kedu ka oke ike ndọda si dị n'elu ọnwa?

2. Oke ọsọ ndọda n'elu ụwa hà nhata gN'ogo R (R = radius nke ụwa) site n'elu ụwa, oke nke ọsọ ndọda ụwa... na-egosipụta na g.
Mkparịta ụka
Ọsọ ọsọ n'ihi ike ndọda bụ ihe na-agbanwe agbanwe na square nke anya ahụ:

R = radius nke ụwa. N'ịdị elu nke R site n'elu ụwa = n'ịdị elu nke 2R site n'etiti ụwa. Ọ bụrụ na a na-ewere R dị ka 1, mgbe ahụ 2R = 2(1) = 2.
N'ịdị elu R site n'elu ụwa, ọsọ ọsọ nke ike ndọda nwere uru nke ¼ g. Ọ bụrụ na g = 9,8 m/s² Ya mere, n'ogo R site n'elu ụwa, ọsọ ọsọ nke ike ndọda nwere uru nke 2,45 m/s².

3. Oke ọsọ ndọda n'elu ụwa bụ gN'ogo nke 2D (D = dayameta ụwa) site n'elu ụwa, oke nke ọsọ ndọda bụ...
A. g
B. 1/2 g
C. 1/4 g
D. 1/8 g
E. 1/16 g
Mkparịta ụka:

Ike ndọda ahụ kwekọrọ na ọsọ ọsọ nke sitere na ndọda. Ike ndọda ahụ dabere na square nke anya ahụ, ya mere ọsọ ọsọ nke sitere na ndọda ahụ dabere na square nke anya ahụ.
Nkọwa: g = ọsọ ndọda, r = anya nke ebe site na etiti ụwa.
Elu ụwa dị n'ebe dị anya site na etiti ụwa, ebe R = radius nke ụwa. Ọ bụrụ na R bụ 1, mgbe ahụ ọsọ ọsọ nke ike ndọda n'elu ụwa bụ:
Nsonaazụ a na-egosi na n'elu ụwa, ike ndọda bụ g. Gịnị bụ ike ndọda na elu 2D?
D = 2R. 2D = 2(2R) = 4R. R bụ 1 ya mere 4R = 4
Azịza ziri ezi bụ E.

4. Ọ bụrụ na ọnọdụ ihe A dị 2R n'elu elu ụwa, ebe ọnọdụ ihe B dị 3R n'elu elu ụwa (R = radius nke ụwa), mgbe ahụ oke ike ike ndọda nke ihe A na B na-enweta bụ...
A. 1: 8
B. 1: 4
C. 2: 3
D. 4:9
E. 9: 4
Mkparịta ụka:
R = radius nke ụwa. R nwere uru nke 1 ya mere 2R = 2 na 3R = 3.
Ike ike ndọda (g) n'ogo 2R n'elu elu ụwa bụ:
Ike ike ndọda (g) n'ogo 3R n'elu elu ụwa bụ:

Oke nke g na elu 2R na 3R bụ:

Ọsọ ọsọ nke ike ndọda n'ogo 2R dị okpukpu 2,25 karịa ọsọ ọsọ nke ike ndọda n'ogo 3R.
Azịza ziri ezi bụ E.

Ajụjụ Ọsọ Ike Ike

1. Gbakọọ oke nke ọsọ ndọda n'elu:
(a) Anyanwụ (b) Mercury (c) Venus (d) Mars (e) Jupiter (f) Saturn (g) Uranus (h) Neptune
Data achọrọ:
Ngụkọta ike ndọda zuru ụwa ọnụ (G) = 6,67 x 10^-11 Mba. m² / n'arọ²
Ibu nke anyanwụ = 1,99 x 10³⁰ kg, radius nke anyanwụ = 2,44 x 10⁶ m
Oke Mercury = 3,30 x 10²³ kg, radius nke Mercury = 6,96 x 10⁸ m
Ibu Venus = 4,87 x 10²⁴ kg, radius nke Venus = 6,05 x 10⁶ m
Oke Mars = 6,42 x 10²³ kg, radius nke Mars = 3,40 x 10⁶ m
Ibu Jupita = 1,90 x 10²⁷ kg, radius nke Jupita = 6,91 x 10⁷ m
Ibu Saturn = 5,69 x 10²⁶ kg, radius nke Saturn = 6,03 x 10⁷ m
Ibu nke Uranus = 8,66 x 10²⁵ kg, radius nke Uranus = 2,56 x 10⁷ m
Ibu Neptune = 1,03 x 10²⁶ kg, radius nke Neptune = 2,48 x 10⁷ m
Isi mmalite nke data na oke na radius nke anyanwụ na mbara ala

2. Oke ọsọ ndọda n'elu ụwa hà nhata gChọpụta osooso nke sitere na ike ndọda n'ogo nke …… site n'elu ụwa:
(a) 2R (b) 3R (c) 4R (d) 5R (e) 6R (f) 7R (g) 8R (h) 9R (i) 10 R
Kwuo na g na ọnụọgụgụ!