Mibvunzo yeMienzaniso neKukurukurirana kweMaitiro eKufamba
Magadzirirwo ekufamba, kana kuti makanika ekufamba, ibazi refizikisi rinoongorora kufamba kwezvinhu nemasimba anokonzera kufamba ikoko. Kunzwisisa makanika ekufamba kwakakosha pakugadzirisa matambudziko akasiyana-siyana mufizikisi neinjiniya. Muchinyorwa chino, tichakurukura mienzaniso yakati wandei yematambudziko pamusoro pemakanika ekufamba nemhinduro dzawo.
Muenzaniso Mubvunzo 1: Kufamba Kwakafanana Kwemutsetse (GLB)
Mubvunzo: Mota inofamba nekumhanya kwakasimba kwe60 km/awa mumugwagwa wakatwasuka kwemaawa maviri. Mota yacho inofamba kure zvakadii?
Kukurukurirana:
Uniform Linear Motion (GLB) kufamba kwechinhu nekumhanya kwakafanana. Fomura inoshandiswa kuverenga daro muGLB ndeiyi:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Zvinozivikanwa:
– Kumhanya = 60 km/awa
– Nguva = maawa maviri
Kuverenga daro:
\[ \text{Distance} = 60 \, \text{km/h} \times 2 \, \text{h} = 120 \, \text{km} \]
Saka, daro rinofambwa nemota iri makiromita zana nemakumi maviri.
Muenzaniso Mubvunzo 2: Kufamba Kwemutsetse Kunokurumidzisa Zvakafanana (GLBB)
Mubvunzo: Chinhu chinofamba nekumhanya kunogara kuripo kwe2 m/s² kubva pakuzorora. Kumhanya kwechinhu chacho chii mushure memasekonzi mashanu?
Kukurukurirana:
Uniformly Accelerated Linear Motion (GLBB) kufamba uko kumhanya kunochinja nguva dzose nekumhanya nguva dzose. Fomura yekuverenga kumhanya kwekupedzisira kubva pakuzorora ndeiyi:
\[ v = u + pa \]
Di mana:
– \( v \) ndiyo kumhanya kwekupedzisira
– \( u \) ndiyo kumhanya kwekutanga (u = 0, nekuti kubva mumamiriro ekuzorora)
– \( a \) ndiko kukurumidza
– \(t \) inguva
Zvinozivikanwa:
– \( u = 0 \)
– \( a = 2 \, \text{m/s}^2 \)
– \( t = 5 \, \text{s} \)
Kuverenga kumhanya kwekupedzisira:
\[ v = 0 + (2 \, \text{m/s}^2 \times 5 \, \text{s}) = 10 \, \text{m/s} \]
Saka, kumhanya kwechinhu mushure memasekonzi mashanu i10 m/s.
Muenzaniso Mubvunzo 3: Kufamba Kwemahara Kwekudonha
Mubvunzo: Bhora rinodonhedzwa kubva pakakwirira kwemamita makumi mana nemashanu. Zvinotora nguva yakareba sei kuti bhora risvike pasi? (Regai kudziviswa nemhepo, shandisai kukurumidza kunokonzerwa negiravhiti \( g = 9.8 \, \text{m/s}^2 \)).
Kukurukurirana:
Kuti tiite kufamba kwemahara kwemvura, tinoshandisa fomura iyi:
\[ h = \frac{1}{2}gt^2 \]
Di mana:
– \( h \) ndiko kukwirira
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti
– \(t \) inguva
Zvinozivikanwa:
– \( h = 45 \, \text{m} \)
– \( g = 9.8 \, \text{m/s}^2 \)
Tsiva tsika idzi mufomura:
\[ 45 = \frac{1}{2} \times 9.8 \times t^2 \]
\[ 45 = 4.9 \nguva t^2 \]
\[ t^2 = \frac{45}{4.9} \]
\[t^2 \inenge 9.18 \]
\[ t \inenge 3.03 \, \text{s} \]
Saka, nguva inotora kuti bhora risvike pasi inenge masekondi matatu nehafu.
Muenzaniso Mubvunzo 4: Kufamba Kwedenderedzwa
Mubvunzo: Chinhu chinofamba mudenderedzwa chine radius yemamita maviri uye angular velocity ye4 rad/s. Ndeipi linear velocity yacho?
Kukurukurirana:
Kumhanya kwemutsetse mukufamba kwedenderedzwa kunogona kuverengerwa uchishandisa fomura:
\[ v = \omega r \]
Di mana:
– \( v \) ndiyo kumhanya kwemutsetse
– \( \omega \) ndiyo angled velocity
– \( r \) ndiyo nharaunda
Zvinozivikanwa:
– \( \omega = 4 \, \text{rad/s} \)
– \( r = 2 \, \text{m} \)
Kuverenga kumhanya kwemutsetse:
\[ v = 4 \, \text{rad/s} \times 2 \, \text{m} = 8 \, \text{m/s} \]
Saka, kumhanya kwemutsara kwechinhu chacho i8 m/s.
Muenzaniso Mubvunzo 5: Kufamba Kwemifananidzo
Mubvunzo: Bhora rinokandwa nespeed yekutanga ye20 m/s pakona ye30° kusvika padivi rakatarwa. Ndeipi daro rakatarwa rakakwirira iro bhora rinogona kusvika?
Kukurukurirana:
Pakufamba kweparabolic, daro rakareba (range) rinogona kuverengerwa uchishandisa fomura:
\[ R = \frac{v_0^2 \sin 2\theta}{g} \]
Di mana:
– \( R \) ndiyo daro guru rakatwasuka
– \( v_0 \) ndiyo kumhanya kwekutanga
– \( \theta \) ndiyo kona yekukwira
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti
Zvinozivikanwa:
– \( v_0 = 20 \, \text{m/s} \)
– \( \theta = 30^\circ \)
– \( g = 9.8 \, \text{m/s}^2 \)
Kuverenga daro rakareba rakati twasu:
\[ R = \frac{20^2 \times \sin(60^\circ)}{9.8} \]
\[ R = \frac{400 \times \sqrt{3}/2}{9.8} \]
\[ R = \frac{400 \kawa 0.866}{9.8} \]
\[ R \approx \frac{346.4}{9.8} \]
\[ R \inenge 35.34 \, \text{m} \]
Saka, daro rakatsetseka rinogona kusvika bhora rinenge mamita 35.34.
Mhedziso
Muchinyorwa chino, takurukura nezvematambudziko akati wandei anoratidza kushandiswa kwemitemo yekutanga yekufamba mufizikisi. Kunzwisisa pfungwa idzi kwakakosha kuti vadzidzi nenyanzvi vaongorore uye vafanotaura kufamba kwezvinhu zvechokwadi. Tinovimba kuti mienzaniso iyi ichabatsira kune avo vanoda kunzwisisa zviri nani mafambiro ekufamba.
