Mienzaniso 7 yeMatambudziko Ekufamba Kwakafanana
1. Mudhudhudhu unofamba wakatwasuka uchimhanya 10 m/s. Sarudza daro rakafambwa nemudhudhudhu mushure memasekonzi gumi nemasekonzi makumi matanhatu.
Kukurukurirana
Kumhanya kwakasimba = 10 m/s kana 10 metres pasekondi zvinoreva kuti mudhudhudhu unofamba mamita gumi pasekondi imwe chete.
Mushure memasekonzi mashanu, mudhudhudhu unofamba mamita makumi mashanu,
Mushure memasekonzi mashanu, mudhudhudhu unofamba mamita makumi mashanu,
Mushure memasekonzi makumi matanhatu, mudhudhudhu unofamba mamita mazana matanhatu.,
Mushure memasekonzi makumi matanhatu, mudhudhudhu unofamba mamita mazana matanhatu..
2. Mota inofamba yakatwasuka ichimhanya makiromita makumi matatu nematanhatu paawa. Sarudza daro rinofambwa nemota mushure mekufamba kwemaminitsi matatu nemaminitsi masere.
Kukurukurirana
72 km/awa = (72)(mamita chiuru) / 3600 masekondi = 72000 / 3600 masekondi = 20 mamita/sekondi.
Kumhanya kwakasimba kwemamita gumi pasekondi zvinoreva kuti mota inofamba mamita gumi pasekondi imwe chete.
Mushure memasekonzi mazana matatu kana maminitsi mashanu, mudhudhudhu unofamba chinhambwe che (20)(120) = mamita zviuru zvitanhatu,
Mushure memasekonzi mazana matatu kana maminitsi mashanu, mudhudhudhu unofamba chinhambwe che (20)(300) = mamita zviuru zvitanhatu.
3. Chinhu chinofamba chakatwasuka mamita mazana maviri mumasekondi makumi mashanu ega ega. Sarudza kumhanya kwechinhu chacho!
Kukurukurirana
Mamita zana / masekondi makumi mashanu = mamita gumi / masekondi mashanu = mamita maviri/sekondi.
4. Kumhanya kwekufamba kwechinhu zvichibva pagirafu iri pazasi ndekwekuti….
Kukurukurirana
Kumhanya = daro / nguva
Kumhanya = mamita maviri / sekondi imwe = mamita mana / masekonzi maviri = mamita matanhatu / masekonzi matatu = mamita masere / masekonzi mana = mamita maviri/sekondi.
5. Mota A neB dziri kufamba dzichienda kune imwe neimwe nekumhanya kwakasimba munzira yakatwasuka. Kana daro riri pakati pemota mbiri iri 100 metres, mota A iri kufamba nekumhanya kwakasimba kwe10 m/s, mota B iri kufamba nekumhanya kwakasimba kwe40 m/s. Sarudza (a) daro rakafambwa nemota A nguva pfupi usati wapfuura mota B (b) nguva yakafambwa nemota B usati wapfuura mota A.
Kukurukurirana
Mota A inofamba nekumhanya kwakafanana kwemamita gumi pasekondi, zvichireva kuti mota A inofamba mamita gumi pasekondi imwe chete. Mushure memasekonzi maviri, mota A inofamba chinhambwe 20 mamita.
Mota B inofamba nekumhanya kwakafanana kwemamita makumi mana pasekondi, zvichireva kuti mota A inofamba mamita makumi mana pasekondi imwe chete. Mushure memasekonzi maviri, mota B inofamba chinhambwe 80 mamita.
Mamita gumi nemashanu + mamita makumi matatu = mamita makumi mana nemashanu.
(a) Nhambwe inofambwa nemotokari A isati yapfuura mota B ndeye 20 mamitaNhambwe inofambwa nemota B usati wapfuura mota A ndeye 80 mamita.
(b) Nguva yekufamba kwemota B isati yapfuura mota A ndeye Masekondi maviriNguva iri pakati pemotokari A nemotokari B ndeye Masekondi maviri
6. Tafura inotevera ine daro nenguva yekufamba kwechinhu!
Mudzidzi akaita bvunzo pakufamba kwezvinhu zviviri katatu, sezvakaratidzwa mutafura iri pamusoro. Rudzi rwekufamba kwakaitika muzvinhu 1 ne2, zvichiteerana, rwaive...
A. GLB neGLBB zviri kunonoka
B. GLB neGLBB zvinokurumidza
C. GLBB neGLB zvinokurumidza
D. GLBB neGLB zvakaderera simba remagetsi
Kukurukurirana
Chinhu 1:
v = s/t
Tsananguro: v = kumhanya, s = daro, t = nguva
v = 60/15 = 4 cm/s
v = 80/20 = 4 cm/s
v = 100/25 = 4 cm/s
Kumhanya kwechinhu nguva dzose = kufamba kwakafanana kwemutsara (GLB).
Chinhu 2:
v = s/t
Tsananguro: v = kumhanya, s = daro, t = nguva
v = 4/2 = 2 cm/s
v = 9/3 = 3 cm/s
v = 25/5 = 5 cm/s
Kumhanya kwechinhu kunowedzera = kufamba kwakakurumidza kumhanyisana kwakaenzana (GLBB).
Mhinduro chaiyo ndeiyi B.
7. Muvhimi ari mumotokari yake ari kudzingirira mhembwe. Mota iri kufamba nekumhanya kwe72 km/h uye mhembwe iri kumhanya nekumhanya kwe64,8 km/h. Kana daro riri pakati pemotokari nemhembwe riri 202 m, muvhimi anopfura pfuti yake. Bara rinobuda mubhara repfuti nekumhanya kwe200 m/s richipesana nebhara repfuti. Bara rinorova mhembwe mushure menguva….
- Masekondi maviri
- Masekondi maviri
- Masekondi maviri
- Masekondi maviri
Kukurukurirana
Zvinozivikanwa kuti:
Kumhanya kwemotokari (v)b) = 72 km/h = (72)(1000 m) / 3600 s = 20 m/s
Kumhanya kwemhara (v)r) = 64,8 km/h = (64,8)(1000 m) / 3600 s = 64800 m / 3600 s = 18 m/s
Kana pfuti yapfurwa, daro riri pakati pemotokari nemhembwe = mamita mazana maviri nemaviri
Kumhanya kwepfuti (v)p) = 20 m/s + 200 m/s = 220 m/s
Pfuti iyi inobatwa nemuvhimi ari mumotokari ari kufamba nekumhanya kwe20 m/s kuitira kuti kumhanya kwebara kuwedzerewo pakumhanya kwemotokari.
Akabvunzwa: Bara rakarova mhembwe mushure mekufamba kwenguva….
Mhinduro:
Ngatitii mota nemhembwe zviri kufamba zvakananga nespeed isingachinji.
Fomura yekumhanya: v = s / t kana s = vt
Tsananguro yefomura: v = kumhanya, s = daro, t = nguva
Kureba kwakafambwa nemhembwe = 202 + Xr = 202 + vr t = 202 + 18 t
Kureba kwebara = Yp =vp t = 220 t
Kana bara rarova mhembwe, daro rakafambwa nebara = daro rakafambwa nemhembwe.
Nhambwe yekufamba = Nhambwe yekufamba nepfuti
202 + 18 t = 220 t
202 = 220 t – 18 t
202 = 202 t
t = 202 / 202
t = masekondi maviri
Mhinduro chaiyo ndeiyi B.
Mibvunzo yakafanana yekufamba zvakananga
1. Mudhudhudhu unofamba wakatwasuka uchimhanya 12 m/s. Sarudza daro rakafambwa nemudhudhudhu mushure memasekonzi gumi nemasekonzi makumi matanhatu.
2. Mota inofamba yakatwasuka ichimhanya makiromita makumi matatu nematanhatu paawa. Sarudza daro rinofambwa nemota mushure mekufamba kwemaminitsi matatu nemaminitsi masere.
3. Chinhu chinofamba chakatwasuka mamita mazana maviri mumasekondi makumi mashanu ega ega. Sarudza kumhanya kwechinhu chacho!
4. Kumhanya kwekufamba kwechinhu zvichibva pagirafu iri pazasi ndekwekuti….
5. Mota A neB dziri kufamba dzichienda kune imwe neimwe nekumhanya kwakasimba munzira yakatwasuka. Kana daro riri pakati pemota mbiri iri 120 metres, mota A iri kufamba nekumhanya kwakasimba kwe20 m/s, mota B iri kufamba nekumhanya kwakasimba kwe40 m/s. Sarudza (a) daro rakafambwa nemota A nguva pfupi usati wapfuura mota B (b) nguva yakafambwa nemota B usati wapfuura mota A.
[Chirungu: Kumhanya kunogara kuripo - matambudziko nemhinduro ]
