Ihe atụ 9 nke ajụjụ ike ndọda
1. Oke nke oke nke mbara ala A na B bụ 2: 3 ebe oke nke radii nke mbara ala A na B bụ 1: 2. Ọ bụrụ na ibu nke ihe dị na mbara ala A bụ w, mgbe ahụ berat ihe dị na mbara ala B bụ….
A. 3/8 w
B. 3/4 w
C. 1/2 w
D. 4/3 w
E. 8/3 w
Mkparịta ụka
A maara :
Ibu nke mbara ala A (m)A) = 2
Ibu nke mbara ala B (m)B) = 3
Oke mbara ala A (r)A) = 1
Radius nke mbara ala B (r)B) = 2
Ibu nke ihe = m
Ibu nke ihe dị na mbara ala A = w
A jụrụ : ibu nke ihe dị na mbara ala B
Jawab :
Usoro maka ike ndọda sitere na Iwu ike ndọda nke Newton adalah:
Nkọwa: w = ibu, G = ihe ndọda zuru ụwa ọnụ, M = ibu nke mbara ala, m = ibu nke ihe ahụ, r = anya nke ihe ahụ site na etiti mbara ala. Ọ bụrụ na ihe ahụ dị n'elu mbara ala ahụ, r = radius nke mbara ala ahụ.
Ibu nke ihe ahụ bụ otu ihe ahụ, yabụ jiri w/2G dochie m.
Azịza ziri ezi bụ A.
2. A na-atụba rọketi nwere oke w n'elu elu site n'elu ụwa. Ọ bụrụ na D bụ dayameta nke ụwa, mgbe ahụ kpọmkwem mgbe rọketi ahụ dị n'ogo 0,5 D n'elu elu ụwa, ibu nke rọketi ahụ bụ...
A. 4 w
B. 2 w
C. w
D. 0,5 w
E. 0,25 w
Mkparịta ụka
A maara na:
Ibu rọketi = w
Gburugburu ụwa = anya site na etiti ụwa = R
Dayameta ụwa = D = 2R
A jụrụ: Ibu arọ nke rọketi ahụ mgbe rọketi ahụ dị n'ogo 0,5 D site n'elu ụwa
Azịza:
0,5 D = 0,5 (2R) = R
Ogologo nke rọketi ahụ site n'etiti ụwa = radius nke ụwa + anya nke rọketi ahụ site n'elu ụwa = R + R = 2R
Ibu bụ ike ndọda na-arụ ọrụ n'ihe. Ike ndọda (F) na-adabere na square nke anya site na etiti ụwa (R), yabụ ibu ya na square nke anya ahụ na-adabere na ya.
Azịza ziri ezi bụ E.
3. Tebụl nke data anụ ahụ maka ihe A na ihe B gbasara elu ụwa nke nwere radius nke R. Ntụnyere ike ike ndọda nke ihe A na ihe B bụ...
A. 2: 1
B. 4: 1
C. 1: 4
D. 9:4
E. 4: 9
Mkparịta ụka
A maara :
Ibu nke ihe A (m)A) = 1
Ibu nke ihe B (m)B) = 2
Anya nke ihe A site na mbara ala Ụwa (r)A) = 1
Anya nke ihe B site na mbara ala ụwa (r)B) = 2
A jụrụ : ntụnyere nke ike nke ubi ndọda nke ihe A (gA) na ihe B (gB)
Jawab :
Usoro maka ike nke ubi ndọda ụwa:
Nkọwa: g = ike nke ubi ndọda ụwa, G = ihe na-agbanwe agbanwe nke ndọda ụwa, mB = oke ụwa, rB = okirikiri nke ụwa
Ntụnyere ike nke ubi ndọda nke ihe A (g)A) na ihe B (gB)
gA :gB
G: G/2
1: 1/2
2: 1
Azịza ziri ezi bụ A.
4. Ọ bụrụ na ọnọdụ ihe A dị 1/2 R n'elu elu ụwa, ebe ọnọdụ ihe B dị 2R 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. 4:1
E. 8: 1
Mkparịta ụka
A maara :
Anya nke ihe A site na etiti ụwa = 0,5R + R = 1,5R = 1,5
Anya nke ihe B site na etiti ụwa = 2R + R = 3R = 3
A jụrụ : ntụnyere nke ike nke ubi ndọda nke ihe A na B na-enweta
Jawab :
Ntụnyere ike nke ubi ndọda nke ihe A na B na-enweta :
Azịza ziri ezi bụ D.
5. Onye na-aga mbara igwe n'elu ụwa na-ahụ ubi ndọda nke g, yabụ mgbe ọ nọ n'elu ụwa nke 1,5 R, ọ ga-ahụ ubi ndọda nke .... (R = radius nke ụwa).
A. g/0,50
B. g/2,25
C. g/6,25
D. g/7,50
E. g/6,00
Mkparịta ụka
Ike ndọda (F) na-adabara kpọmkwem na ubi ndọda (g). Ka ike ndọda na-adabawanye, otú ahụ ka ubi ndọda na-adabawanye. Ike ndọda (F) nke ihe na-enweta bụ nha nhata kpọmkwem na 1/r.2, ebe r = anya nke ihe site na etiti ụwa. N'ihi na ike ndọda ahụ kwekọrọ kpọmkwem na 1/r2 mgbe ahụ, ubi ndọda (g) dịkwa kpọmkwem na 1/r2.
Mgbe onye na-aga mbara igwe nọ n'elu ụwa n'ebe dị anya R (R = radius nke ụwa) site na etiti ụwa, ubi ndọda ọ na-ahụ bụ g. Enwere ike igosi nke a site na mgbakọ na mwepụ ndị a:
Mpaghara ike ndọda (g) bụ nha nhata nke 1/R2Ọ bụrụ na R = 1, mgbe ahụ 1 / R2 = 1/12 = 1 / 1 = 1. Ọ bụrụ na anya nke onye na-aga mbara igwe site na etiti ụwa = 1, mgbe ahụ ọ na-ahụ ebe ike ndọda nke = (g)(1) = g.
Ogologo anya nke onye na-aga mbara igwe site n'etiti ụwa bụ 1,5R = 1,5(1) = 1,5 ya mere ọ na-ahụ mpaghara ndọda nke: 1 / R2 = 1/1,52 = 1 / 2,25. Ya mere, ọ bụrụ na anya nke onye na-aga mbara igwe site na etiti ụwa bụ 1,5, mgbe ahụ ọ na-ahụ oghere ndọda nke = (g)(1 / 2,25) = g / 2,25
Azịza ziri ezi bụ B.
6. Ntụnyere ike nke ubi ndọda ụwa maka ihe abụọ, otu n'elu ụwa na nke ọzọ n'ogo nke ½ R site n'elu ụwa (R = radius nke ụwa) bụ....
A. 1: 2
B. 2: 3
C. 3: 2
D. 4:9
E. 9: 4
Mkparịta ụka
A maara :
Anya nke ihe A site na etiti ụwa (r)A) = R = 1
Anya nke ihe B site na etiti ụwa (r)B) = 0,5R + R = 1,5R = 1,5
A jụrụ : ntụnyere nke ike nke ubi ndọda nke ihe A na B na-enweta
Jawab :
Ntụnyere ike nke ubi ndọda nke ihe A na B na-enweta :
Azịza ziri ezi bụ E.
7. Ike ndọda dị n'etiti ụwa na ihe dị n'elu ala hà nhata? Oke ụwa = 5,97 x 1024 kg, oke ihe = 1000 kg, radius nke ụwa = 6,38 x 106 mita. Kedu ibu ma ọ bụ ike ndọda nke ụwa na-arụ ọrụ na ihe ahụ ma ọ bụrụ na agbakọọ ya site na iji usoro iwu nke abụọ nke Newton ebe ọsọ ndọda (g) = 9,8 m/s2 ?
Mkparịta ụka
A maara na:
Oke ụwa (mB) = 5,97 x 1024 kg
Ibu nke ihe ahụ (m)b) = 103 kg
Gburugburu ụwa (r) = 6,38 x 106 mita
Ngụkọta ike ndọda zuru ụwa ọnụ (G) = 6,67 x 10-11 Mba. m2 / n'arọ2
Ọsọ ọsọ n'ihi ike ndọda (g) = 9,8 m/s2
A jụrụ: ike ndọda hà buru ibu?
Azịza:
Oke ike ndọda dị n'etiti ụwa na ihe (site na iji usoro iwu ndọda Newton):
Nkọwa w = F = ike ndọda, G = ihe ndọda zuru ụwa ọnụ, mB = oke nke ụwa, mb = oke nke ihe ahụ, r = anya dị n'etiti etiti ụwa na etiti ihe ahụ. Ihe ahụ dị n'elu ụwa nke mere na r = radius nke ụwa.
Ibu nke ihe (site na iji usoro iwu nke abụọ nke Newton):
w = mg = (1000)(9,8) = 9800 Newtons
Tụlee nsonaazụ mgbakọ na mwepụ a na nke gara aga. Ụkpụrụ ndị ahụ fọrọ nke nta ka ha yie otu n'ihi ịgbakọta. Enwere ike ikwubi na ibu nke ihe dị n'elu ụwa bụ ike nke ike ndọda ụwa na-arụ ọrụ n'elu ihe dị n'elu ụwa.
8. Kedu ike ndọda dị n'etiti ụwa na ihe dị n'elu mita 10.000 n'elu ala? Oke ụwa = 5,97 x 1024 kg, oke ihe = 1000 kg, radius nke ụwa = 6,38 x 106 mita.
Mkparịta ụka:
Tụlee ya na azịza nọmba 1. Ka ihe ahụ si n'ala dị anya, otú ahụ ka ibu ihe ahụ si dị obere.
9. Rọketị ahụ dị arọ w Ọ bụrụ na D bụ dayameta nke ụwa, chọpụta ịdị arọ nke rọketi ahụ mgbe rọketi ahụ dị n'ogo 2D site n'elu ụwa.
Mkparịta ụka
A maara na:
D = dayameta nke ụwa, R = radius nke ụwa, 1 D = 2 R, 2 D = 4 R
Ajụjụ: Kedu ibu rọketi ahụ mgbe ọ dị n'ogo 2D?
Azịza:
Ike nke ibu ma ọ bụ ike ndọda na-adabere na square nke anya ahụ. N'ime mgbakọ na mwepụ:
Ajụjụ gbasara ike ndọda
1. Ike ndọda dị n'etiti ụwa na ihe dị n'elu ala hà nhata? Oke ụwa = 5,97 x 1024 kg, oke ihe = 2000 kg, radius nke ụwa = 6,38 x 106 mita. Kedu ibu ma ọ bụ ike ndọda nke ụwa na-arụ ọrụ na ihe ahụ ma ọ bụrụ na agbakọọ ya site na iji usoro iwu nke abụọ nke Newton ebe ọsọ ndọda (g) = 9,8 m/s2 ?
2. Kedu ike ndọda dị n'etiti ụwa na ihe dị n'elu mita 100.000 n'elu ala? Oke ụwa = 5,97 x 1024 kg, oke ihe = 2000 kg, radius nke ụwa = 6,38 x 106 mita.
3. Rọketị ahụ dị arọ w Ọ bụrụ na D bụ dayameta nke ụwa, chọpụta ịdị arọ nke rọketi ahụ mgbe rọketi ahụ dị n'ogo 3D site n'elu ụwa.
