Mienzaniso 9 yeMibvunzo yeSimba reKukwevera Simba
1. Chiyero chehukuru hwemapuraneti A naB i2:3 ukuwo chiyero che radii yemapuraneti A naB chiri 1:2. Kana huremu hwechinhu chiri papuraneti A huri w, saka Berat chinhu chiri papuraneti B ndicho….
A. 3/8 w
B. 3/4 w
C. 1/2 w
D. 4/3 w
E. 8/3 w
Kukurukurirana
Zvinozivikanwa :
Huremu hwepuraneti A (m)A= = 2
Huremu hwepuraneti B (mB= = 3
Nharaunda yepasi A (r)A= = 1
Nharaunda yepasi B (r)B= = 2
Huremu hwechinhu = m
Kurema kwechinhu chiri pasi pano A = w
Akabvunzwa : huremu hwechinhu chiri papuraneti B
Jawab :
Nzira yekukwevera pasi inobva ku Mutemo waNewton wesimba rinokwevera pasi ndeizvi:
Tsananguro: w = huremu, G = simba regiravhiti risingaperi, M = huremu hwepasi, m = huremu hwechinhu, r = daro rechinhu kubva pakati pepasi. Kana chinhu chiri pamusoro pepasi, saka r = radius yepasi.
Huremu hwechinhu chacho hwakafanana saka tsiva m ne w/2G
Mhinduro chaiyo ndiA.
2. Roketi rine huremu hwe w rinoburitswa rakamira kumusoro kubva pamusoro peNyika. Kana D iri dhayamita yeNyika, saka kana roketi iri pakakwirira kwe0,5 D pamusoro peNyika, huremu hweroketi hunenge...
A. 4 w
B. 2 w
C. w
D. 0,5 w
E. 0,25 w
Kukurukurirana
Zvinozivikanwa kuti:
Kurema kweroketi = w
Nharaunda yePasi = daro kubva pakati penyika = R
Dhayamita yepasi = D = 2R
Akabvunzwa: Huremu hweroketi kana roketi iri pakakwirira kwe0,5 D kubva pamusoro penyika
Mhinduro:
0,5 D = 0,5 (2R) = R
Kureba kweroketi kubva pakati penyika = kureba kwenyika + kureba kweroketi kubva pamusoro penyika = R + R = 2R
Kurema isimba rinokwevera zvinhu pasi rinoita basa pachinhu. Simba rinokwevera zvinhu pasi (F) rinoenderana nechikamu chedaro kubva pakati peNyika (R), saka uremu hunoenderana nechikamu chedaro pasi.
Mhinduro chaiyo ndiE.
3. Tafura yedata rechinhu A nechinhu B maererano nepamusoro penyika ine radius yeR. Kuenzanisa kwesimba regiravhiti rechinhu A nechinhu B ndiko...
A. 2: 1
B. 4: 1
C. 1 : 4
D. 9: 4
Chikamu 4: 9
Kukurukurirana
Zvinozivikanwa :
Huremu hwechinhu A (m)A= = 1
Huremu hwechinhu B (mB= = 2
Kureba kwechinhu A kubva pasi pano (r)A= = 1
Kureba kwechinhu B kubva pasi pano (r)B= = 2
Akabvunzwa : kuenzanisa simba resimba rinokwevera zvinhu pasi rechinhu A (g)A) nechinhu B (gB)
Jawab :
Nzira yekusimba kwesimba regiravhiti rePasi:
Tsananguro: g = simba resimba regiravhiti repasi, G = simba regiravhiti repasi rose, mB = huremu hwenyika, rB = nharaunda yenyika
Kuenzanisa kwesimba resimba rinokwevera zvinhu pasi rechinhu A (g)A) nechinhu B (gB)
gA :gB
G: G/2
1: 1/2
2: 1
Mhinduro chaiyo ndiA.
4. Kana nzvimbo yechinhu A iri 1/2 R pamusoro penyika, nepo nzvimbo yechinhu B iri 2R pamusoro penyika (R = radius yenyika), saka chiyero chesimba regiravhiti rinowanikwa nezvinhu A naB ndeche...
A. 1: 8
B. 1: 4
C. 2 : 3
D. 4: 1
Chikamu 8: 1
Kukurukurirana
Zvinozivikanwa :
Kureba kwechinhu A kubva pakati penyika = 0,5R + R = 1,5R = 1,5
Kureba kwechinhu B kubva pakati penyika = 2R + R = 3R = 3
Akabvunzwa : kuenzanisa simba resimba rinokwevera zvinhu pasi rinoonekwa nezvinhu A naB
Jawab :
Kuenzanisa kwesimba resimba rinokwevera zvinhu pasi (gravitational field) rinoonekwa nezvinhu A naB :
Mhinduro chaiyo ndiD.
5. Mutyairi wendege ari pamusoro penyika anowana simba regiravhiti re g, saka kana ari pakakwirira kwe 1,5 R kubva pamusoro penyika achawana simba regiravhiti re .... (R = radius yenyika).
A. g/0,50
B. g/2,25
C. g/6,25
D. g/7,50
E. g/6,00
Kukurukurirana
Simba rinokwevera pasi (F) rinoenderana zvakananga nesimba rinokwevera pasi (g). Simba rinokwevera pasi rakakura, uye simba rinokwevera pasi rakakura. Simba rinokwevera pasi (F) rinosangana nechinhu rinoenderana zvakananga ne1/r.2, apo r = daro rechinhu kubva pakati penyika. Nekuti simba regiravhiti rinoenderana zvakananga ne1/r2 ipapo munda wegiravhiti (g) wakaenzana zvakananga ne1/r2.
Kana mutyairi wendege ari pamusoro penyika ari kure neR (R = radius yenyika) kubva pakati penyika, simba regiravhiti raanoona riri g. Izvi zvinogona kuratidzwa kuburikidza nekuverenga kunotevera:
Simba regiravhiti (g) rinoenderana ne1/R2Kana R = 1 saka 1 / R2 = 1/12 = 1 / 1 = 1. Kana daro remuchadenga kubva pakati penyika = 1 ipapo anowana simba regiravhiti re = (g)(1) = g.
Kureba kwemuchadenga kubva pakati penyika i1,5R = 1,5(1) = 1,5 saka anowana simba rekukwevera zvinhu pasi re: 1 / R2 = 1/1,52 = 1 / 2,25. Saka kana daro remuchadenga kubva pakati penyika = 1,5 ipapo anowana simba regiravhiti re = (g)(1 / 2,25) = g / 2,25
Mhinduro chaiyo ndeiyi B.
6. Kuenzanisa simba resimba regiravhiti repasi nezvinhu zviviri, chimwe chiri pamusoro penyika uye chimwe chiri pakakwirira kwehafu yeR kubva pamusoro penyika (R = radius yenyika) ndiko....
A. 1: 2
B. 2: 3
C. 3 : 2
D. 4: 9
Chikamu 9: 4
Kukurukurirana
Zvinozivikanwa :
Kureba kwechinhu A kubva pakati penyika (r)A) = R = 1
Kureba kwechinhu B kubva pakati penyika (r)B) = 0,5R + R = 1,5R = 1,5
Akabvunzwa : kuenzanisa simba resimba rinokwevera zvinhu pasi rinoonekwa nezvinhu A naB
Jawab :
Kuenzanisa kwesimba resimba rinokwevera zvinhu pasi (gravitational field) rinoonekwa nezvinhu A naB :
Mhinduro chaiyo ndiE.
7. Simba rinokwevera pasi riri pakati penyika nechinhu chiri pamusoro penyika rakakura sei? Huremu hwenyika = 5,97 x 1024 kg, huremu hwechinhu = 1000 kg, nharaunda yenyika = 6,38 x 106 mamita. Chii chinonzi huremu kana simba regiravhiti renyika rinoshanda pachinhu kana zvikaverengwa uchishandisa fomura yechipiri yaNewton apo kukurumidza kwegiravhiti (g) = 9,8 m/s?2 ?
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwepasi (mB) = 5,97 x 1024 kg
Huremu hwechinhu (mb= = 103 kg
Nharaunda yepasi (r) = 6,38 x 106 mita
Simba rinokwevera pasi rose (G) = 6,67 x 10-11 N m2 /kg2
Kukurumidza kunokonzerwa negiravhiti (g) = 9,8 m/s2
Akabvunzwa: simba regiravhiti rakakura sei?
Mhinduro:
Hukuru hwesimba rinokwevera pasi riri pakati penyika nechinhu (tichishandisa mutemo waNewton wegiravhiti):
Tsananguro w = F = simba regiravhiti, G = simba regiravhiti risingaperi, mB = huremu hwenyika, mb = huremu hwechinhu, r = chinhambwe chiri pakati penyika nepakati pechinhu. Chinhu chacho chiri pamusoro penyika zvekuti r = radius yenyika.
Kurema kwechinhu (tichishandisa fomura yechipiri yaNewton):
w = mg = (1000)(9,8) = 9800 Newton
Enzanisa mhedzisiro iyi yekuverenga neyapfuura. Makoshero acho akafanana zvakanyanya nekuda kwekutenderera. Zvinogona kugumiswa kuti huremu hwechinhu chiri pamusoro peNyika isimba regiravhiti rePasi rinoshanda pachinhu chiri pamusoro peNyika.
8. Chii chinonzi simba rinokwevera pasi riri pakati penyika nechinhu chiri pamusoro pe10.000 metres kubva pasi? Huremu hwenyika = 5,97 x 1024 kg, huremu hwechinhu = 1000 kg, nharaunda yenyika = 6,38 x 106 mita.
Kukurukurirana:
Enzanisa nemhinduro nhamba 1. Kana kure nenyika, huremu hwechinhu chacho hushoma.
9. Roketi rinorema w yakasimudzwa yakatwasuka yakananga kumusoro kubva pamusoro penyika. Kana D iri dhayamita yenyika, tarisa huremu hweroketi kana roketi iri pakukwirira kwe2D kubva pamusoro penyika.
Kukurukurirana
Zvinozivikanwa kuti:
D = dhayamita yenyika, R = dhayamita yenyika, 1 D = 2 R, 2 D = 4 R
Mubvunzo: Roketi rinorema sei kana riri pakakwirira se2D?
Mhinduro:
Simba rehuremu kana simba rinokwevera zvinhu pasi rinoenderana nechikamu chedaro. Masvomhu:
Mibvunzo pamusoro pesimba regiravhiti
1. Simba rinokwevera pasi riri pakati penyika nechinhu chiri pamusoro penyika rakakura sei? Huremu hwenyika = 5,97 x 1024 kg, huremu hwechinhu = 2000 kg, nharaunda yenyika = 6,38 x 106 mamita. Chii chinonzi huremu kana simba regiravhiti renyika rinoshanda pachinhu kana zvikaverengwa uchishandisa fomura yechipiri yaNewton apo kukurumidza kwegiravhiti (g) = 9,8 m/s?2 ?
2. Chii chinonzi simba rinokwevera pasi riri pakati penyika nechinhu chiri pamusoro pe100.000 metres kubva pasi? Huremu hwenyika = 5,97 x 1024 kg, huremu hwechinhu = 2000 kg, nharaunda yenyika = 6,38 x 106 mita.
3. Roketi rinorema w yakasimudzwa yakatwasuka yakananga kumusoro kubva pamusoro penyika. Kana D iri dhayamita yenyika, tarisa huremu hweroketi kana roketi iri pakakwirira 3D kubva pamusoro penyika.
