Dzidziso yesimba rekushanda-kinetic inoti basa rose, kana kuti simba rinoitwa nesimba remagetsi pachinhu, rakaenzana nekuchinja kwesimba remagetsi rechinhu. Kana simba remagetsi rikaita basa rakanaka (simba remagetsi riri munzira imwecheteyo nekuchinja), simba remagetsi rechinhu rinowedzera. Kusiyana neizvi, kana simba remagetsi rikaita basa risina kunaka (simba remagetsi riri munzira yakasiyana nekuchinja), simba remagetsi rechinhu rinoderera.
W yose = EK 2 – EK 1 = ½ mv 2 2 – ½ mv 1 2
Kana masimba ekuchengetedza chete achishanda pachinhu, sezvakaita chinhu chinodonha nekusununguka , simba remagetsi rakaenzana nesimba rekuchengetedza. Chirevo chesimba rekushanda-kinetic chinogona kushandurwa kuita basa rese, kana basa rinoitwa nesimba rekuchengetedza rakaenzana nekuchinja kwesimba rekinetic. Kana simba rekuchengetedza rikaita basa rakanaka (simba rekuchengetedza riri munzira imwecheteyo nekuchinja), ipapo simba rekinetic rechinhu rinowedzera. Kusiyana neizvi, kana simba rekuchengetedza rikaita basa risina kunaka (simba rekuchengetedza riri munzira yakasiyana nekuchinja), ipapo simba rekinetic rechinhu rinoderera.
W c = EK 2 – EK 1 = ½ mv 2 2 – ½ mv 1 2
Basa rinoitwa nesimba rinochengetedza chinhu rakaenzana nekuchinja kusina kunaka kwesimba rechinhu. Kana simba rinochengetedza rikaita basa rakanaka, simba rinogona kuderera. Kusiyana neizvi, kana simba rinochengetedza rikaita basa risina kunaka, simba rinogona kukwira.
W c = – (EP 2 – EP 1 ) = – mg (h 2 – h 1 ) = – mgh 2 + mgh 1 = mgh 1 – mgh 2
Zvichibva paongororo yapfuura, zvinoita sekunge pane hukama pakati pebasa rinoitwa nesimba rinochengetedza chinhu uye shanduko musimba rekinetic ne potential energy rechinhu. Kana simba rinochengetedza rikaita basa rakanaka, simba rekinetic rinowedzera, nepo simba rinogoneka richiderera. Kana simba rinochengetedza rikaita basa risina kunaka, simba rekinetic rinoderera, nepo simba rinogoneka richiwedzera.
W c = W c
EK 2 – EK 1 = EP 1 – EP 2
EP 1 + EK 1 = EP 2 + EK 2
EM 1 = EM 2
Information :
EM 1 = simba rekutanga remakanika, EM 2 = simba rekupedzisira remakanika, EP 1 = simba rekutanga remakanika, EP 2 = simba rekupedzisira remakanika, EK 1 = simba rekutanga remakanika, EK 2 = simba rekupedzisira remakanika
Muenzaniso wezvinetso
1. Bhokisi rinoburitswa pasina kumhanya kwekutanga pamusoro penzvimbo yakatsetseka (paA). Bhokisi rinotsvedza kusvika pasi penzvimbo yakatsetseka (paE).
Kana AB = BC = CD = DE, saka chiyero chekumhanya kwemabhuroko paC, D naE ndeche…
Kukurukurirana
Zvinozivikanwa:
AB + BC + CD + DE = 1
1/4 + 1/4 + 1/4 + 1/4 = 1
Mubvunzo: Kuenzanisa kumhanya kwemabhuroko paC, D naE.
Mhinduro:
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika = simba rekupedzisira remakanika.
Simba rekutanga remakanika = simba rekukwevera pasi
Simba remagetsi rekupedzisira = simba remagetsi
Pamusoro, bhokisi iri rakamira, saka simba rayo rekufamba riri zero uye simba rayo rekubata riri pahuwandu hwaro hwepamusoro. Painofamba kubva kumusoro ichienda pasi penzvimbo yakatsveyama, simba rayo rekubata rinoderera uye rinoshandurwa kuita simba rekubata. Painosvika pasi penzvimbo yakatsveyama, simba rayo rekubata riri pahuwandu hwaro hwepamusoro uye simba rayo rekubata riri pa zero.
Simba rekukwevera pasi panzvimbo A = mgh = mg (4/4) = 4/4 mg
Simba reKinetic panzvimbo A = 1/2 mv 2 = 1/2 m (0 2 ) = 0
Simba rekukwevera pasi panzvimbo B = mgh = mg (3/4) = 3/4 mg
Simba reKinetic panzvimbo B = 1/2 mv 2
Simba rekukwevera pasi paC = mgh = mg (2/4) = 2/4 mg
Simba reKinetic panzvimbo C = 1/2 mv 2
Simba rekukwevera pasi paD = mgh = mg (1/4) = 1/4 mg
Simba reKinetic panzvimbo D = 1/2 mv 2
Simba rekukwevera pasi paE = mgh = mg (0) = 0
Simba reKinetic panzvimbo E = 1/2 mv 2
Simba remuchina panzvimbo A = Simba regiravhiti + simba rekinetic = 4/4 mg + 0 = 4/4 mg = mg
Simba remuchina panzvimbo B = Simba regiravhiti + simba rekinetic = 3/4 mg + 1/2 mv 2
Simba remuchina panzvimbo C = Simba regiravhiti + simba rekinetic = 2/4 mg + 1/2 mv 2
Simba remuchina panzvimbo D = Simba regiravhiti + simba rekinetic = 1/4 mg + 1/2 mv 2
Simba remakanika panzvimbo E = Simba regiravhiti + simba rekinetic = 0 + 1/2 mv 2 = 1/2 mv 2
Kumhanya kwebhuroko paC:
Simba remakanika panzvimbo C = simba rekutanga remakanika (simba remakanika rinogara riripo)
2/4 mg + 1/2 mv 2 = 4/4 mg
1/2 mv 2 = 4/4 mg - 2/4 mg
1/2 mv 2 = 2/4 mg
1/2 mv 2 = 1/2 mg
mv 2 = mg
v 2 = g
v = √g
Kumhanya kwebhuroko paD:
Simba remuchina panzvimbo D = simba rekutanga remuchina (simba remuchina rinogara riripo)
1/4 mg + 1/2 mv 2 = 4/4 mg
1/2 mv 2 = 4/4 mg - 1/4 mg
1/2 mv 2 = 3/4 mg
1/2 v 2 = 3/4 g
v 2 = 2 (3/4) g
v 2 = (6/4) g
v 2 = (3/2) g
v 2 = 1,5g
v = √1,5g
Kumhanya kwebhuroko paE:
Simba remakanika panzvimbo E = simba rekutanga remakanika (simba remakanika rinogara riripo)
1/2 mv 2 = mg
1/2 v 2 = g
v 2 = 2g
v = √2g
Kuenzanisa kumhanya kwemabhuroko paC, D naE:
√ g : √1,5g : √2g
√ 1 : √1,5 : √2 (wedzera ne2)
√ 2 : √ 3 : √ 4
√ 2 : √ 3 : 2
2. Tarisa mufananidzo unotevera!
Zvinhu zviviri zvinodzika nenzira kubva panzvimbo A. Huremu hwechinhu chekutanga m 1 = 5 kg uye chinhu chechipiri m 2 = 15 kg. Kana kukurumidza kunokonzerwa negiravhiti kuri g = 10 m s -2 , saka chiyero chesimba rekinetic Ek 1 : Ek 2 panzvimbo B i…
A. 1: 2
B. 1: 3
C. 1 : 9
D. 2: 1
Chikamu 3: 1
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwechinhu 1 (m1 ) = 5 kg
Huremu hwechinhu 2 (m2 ) = 15 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2
Daro riri pakati pemapoinzi A neB (h) = 40 m – 30 m = 10 m
Mubvunzo: Kuenzanisa simba rekinetic Ek 1 : Ek 2 panzvimbo B
Mhinduro:
Simba rekukwevera rechinhu paA rinoyerwa kubva papoindi B:
EP 1 = m 1 gh = (5 kg)(10 m/s 2 )(10 m) = 500 Joules
EP 2 = m 2 gh = (15 kg)(10 m/s 2 )(10 m) = 1500 Joules
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika = simba rekupedzisira remakanika.
Simba rekutanga remakanika = simba rekukwevera pasi
Simba remagetsi rekupedzisira = simba remagetsi
EP 1 = EK 1
500 Joules = EK 1
EP 2 = EK 2
1500 Joules = EK 2
EX 1 : EX 2
500: 1500
5: 15
1: 3
Mhinduro chaiyo ndeiyi B.
3. Tarisa mufananidzo!
Marble ine huremu m inomonereka pasi pedenderedzwa rakatsetseka risina kumhanya kwekutanga kubva panzvimbo A. Kumhanya kwemable panzvimbo B ndekwe…
A. 10 ms-1
B. 2 √10 ms -1
C. √ 10 ms -1
D. 2 √5 ms -1
E. √ 5 ms -1
Kukurukurirana
Zvinozivikanwa kuti:
Musiyano wehurefu pakati pemapoinzi A neB (h) = 4 m - 2 m = 2 mamita
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2
Huremu hwemabhuru (m) = m
Mubvunzo: Kumhanya kwedombo remabhuru panzvimbo B
Mhinduro:
Simba rekutanga remakanika = simba remakanika panzvimbo A = simba regiravhiti = mgh = (m)(10)(2) = 20m
Simba rekupedzisira remakanika = simba remakanika panzvimbo B = simba remakanika = 1/2 mv 2
Mutemo wekuchengetedza simba remakanika:
Simba rekutanga remakanika = simba rekupedzisira remakanika
20 m = 1/2 mv 2
20 = 1/2 v 2
2 (20) = v 2
40 = v 2
v = √40
v = √(4)(10)
v = 2√10 m/s
Mhinduro chaiyo ndeiyi B.
4. Bhora rinotsvedza panzira inotsvedza sezvakaratidzwa mumufananidzo uri pazasi.
Kana kumhanya kwebhora papoindi A kuri 6 ms -1 , papoindi B kuri √ 92 ms -1 , uye g = 10 ms -2 , saka kukwirira kwepoindi B kubva pasi penzira ndiko...
A. 0,5 m
B. 0,5 √ 2 m
C. 1 m
D. √ 2 m
E. 2,8 m
Kukurukurirana
Zvinozivikanwa kuti:
Kumhanya kwebhora panzvimbo A (v A ) = 6 ms -1
Kumhanya kwebhora panzvimbo B (v B ) = √ 92 ms -1
Kukurumidza kunokonzerwa negiravhiti (g) = 10 ms -2
Kureba A (h A ) = 5,6 mamita
Kureba B (h B ) = h
Mubvunzo: Kureba kwepoindi B kubva pasi penzira
Mhinduro:
Nzira yacho inotsvedza, saka hapana kukweshana. Saka, simba chete rinoshanda pachinhu chacho isimba rinokwevera pasi. Simba rinokwevera pasi isimba rinochengetedza. Basa rinoitwa nesimba rinochengetedza haritsamiri pachimiro chenzira asi pakuchinja kwenzvimbo.
Saka tinogona kuverenga kukwirira kwepoindi B kubva pasi penzira tichishandisa fomura yemutemo wekuchengetedza simba remakanika.
Simba rekutanga remakanika = Simba regiravhiti rinokwanisa kukweva
Kana bhora rasvika paA, harisati rafamba saka kumhanya kwaro kuri zero. Kumhanya kwebhora kuri zero saka simba rekufamba kwebhora riri zero. Kinetic energy: EK = 1/2 mv 2 = 1/2 m (0) = 0.
Asi bhora iri pakakwirira mamita 5,6 kubva pasi saka bhora rine simba rekukwevera pasi. Simba rekukwevera pasi: EP = mgh = m (10)(5,6) = 56 m
Simba rekutanga remakanika = Simba rekukwevera pasi + Simba reKinetic = 56 m + 0 = 56 m
Simba remagetsi rekupedzisira = Simba regiravhiti + Simba reKinetic
Kana bhora rasvika panzvimbo B, kureba kwaro kuri h. Simba rekukwevera pasi: EP = mgh = m (10) h = 10 mh
Poindi B iri pasi pepoindi A saka bhora richiri kufamba nekumhanya kwakati. Bhora richiri kufamba nekumhanya kwakati saka bhora rine simba rekinetic. Kinetic energy: EK = 1/2 mv 2 = 1/2 m ( √ 92 ) 2 = 1/2 m ( 92) = 46 m
Simba rekupedzisira remakanika = Simba regiravhiti + Simba reKinetic = 10 mh + 46 m = m (10 maawa + 46)
Mutemo wekuchengetedza simba remakanika:
Simba rekutanga remakanika = Simba rekupedzisira remakanika
56 m = m (maawa gumi + 46)
56 = maawa gumi + 46
56 - 46 = maawa gumi
10 = maawa makumi maviri
h = 10/10 = mita imwe
Mhinduro chaiyo ndiC.
Kwakabva mubvunzo:
Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa
