Mienzaniso yeMibvunzo Kukurukura Mutemo weKuchengetedza Simba
Mutemo weKuchengetedza Simba ipfungwa huru mufizikisi, inotaura kuti simba riri muhurongwa hwakavharwa harigone kugadzirwa kana kuparadzwa, asi rinogona kungoshandurwa kubva pane chimwe chimiro kuenda kune chimwe. Pfungwa iyi yakakosha uye inoshandiswa kakawanda mumapazi akasiyana esainzi netekinoroji, kusanganisira makanika, thermodynamics, uye electromagnetism. Muchinyorwa chino, tichakurukura mienzaniso yakati wandei yezvinetso zvine chekuita neMutemo weKuchengetedza Simba, pamwe chete netsananguro dzakadzama.
Muenzaniso Mubvunzo 1: Simba reMagetsi muChinhu Chinowira Chakasununguka
Mubvunzo: Bhora rine huremu hwe 0,5 kg rinodonhedzwa kubva pakakwirira kwemamita makumi maviri. Usafuratira kudzivirira kwemhepo. Bhora rinomhanya zvakadii kana rasvika pasi?
Kukurukurirana:
Danho 1: Ziva simba rekutanga nerekupedzisira.
Simba rekutanga kana bhora riri pakakwirira kwemamita makumi maviri isimba regiravhiti (EP), iro rinogona kuverengerwa uchishandisa fomura iyi:
\[ EP = mgh \]
Dimana:
– \( m \) huremu hwebhora (0,5 kg)
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti (9,8 m/s²)
– \( h \) ndiko kukwirira (20 m)
\[ EP_{initial} = 0,5 \kawa 9,8 \kawa 20 = 98 \, \text{J} \]
Simba rekupedzisira kana bhora rasvika pasi isimba rekinetic (EK), iro rinogona kuverengerwa uchishandisa fomura:
\[ EK = \frac{1}{2} mv^2 \]
Dimana:
– \( v \) ndiko kumhanya kwebhora kana rasvika pasi
Danho rechipiri: Shandisa Mutemo weKuchengetedza Simba kutaura kuti simba rekutanga rinokwanisa kusimba rakaenzana nesimba rekupedzisira remagetsi.
\[ EP_{initial} = EK_{final} \]
\[ 98 = \frac{1}{2} \times 0,5 \times v^2 \]
Danho rechitatu: Gadzirisa equation kuti uwane \( v \).
\[ 98 = 0,25v^2 \]
\[ v^2 = \frac{98}{0,25} = 392 \]
\[ v = \sqrt{392} \inenge 19,8 \, \text{m/s} \]
Saka, kumhanya kwebhora kana rasvika pasi kunosvika 19,8 m/s.
Muenzaniso Mubvunzo 2: Simba Muchirimo
Mubvunzo: Chitubu chine chitubu chisingachinji \( k \) = 200 N/m chinomanikidzwa 0,1 metres kubva panzvimbo yacho yekuenzanisa. Isimba ripi re elastic potential rinochengetwa muchitubu?
Kukurukurirana:
Danho 1: Shandisa fomura yesimba re elastic potential.
\[ EP_{elastic} = \frac{1}{2} kx^2 \]
Dimana:
– \( k \) ndiyo nguva yechitubu (200 N/m)
– \( x \) ndiyo daro rekudzvanywa (0,1 m)
Danho rechipiri: Batanidza mavalue anozivikanwa mufomura.
\[ EP_{elastic} = \frac{1}{2} \times 200 \times (0,1)^2 \]
\[ EP_{elastic} = \frac{1}{2} \times 200 \times 0,01 \]
\[ EP_{elastic} = 1 \, \text{J} \]
Saka, simba re elastic potential rinochengetwa muchirimo i1 Joule.
Muenzaniso Mubvunzo 3: Simba Rinogona Kukweva Simba uye Simba reKinetic muKufamba kweParabhori
Mubvunzo: Chinobhururuka chine huremu hwe2 kg chinoburitswa nekumhanya kwekutanga kwe30 m/s pakona ye45° kusvika panzvimbo yakatwasuka. Ndeapi masimba ekufamba uye ekufamba kwechinhu chinobhururuka panzvimbo yakakwirira yenzira yacho?
Kukurukurirana:
Danho 1: Kamurai velocity yekutanga kuita zvikamu zvakatwasuka uye zvakatwasuka.
\[ v_{x} = v_0 \cos \theta \]
\[ v_{y} = v_0 \chivi \theta \]
Dimana:
– \( v_0 \) ndiyo velocity yekutanga (30 m/s)
– \( \theta \) ndiyo kona yekuvhura (45°)
\[ v_{x} = 30 \cos 45° = 30 \times \frac{\sqrt{2}}{2} = 21,21 \, \text{m/s} \]
\[ v_{y} = 30 \sin 45° = 30 \times \frac{\sqrt{2}}{2} = 21,21 \, \text{m/s} \]
Danho rechipiri: Padanho repamusoro, velocity yakatwasuka (v_y) i0, asi velocity yakatwasuka (v_x) inoramba yakadaro.
\[ v_{x \, poindi \, yepamusorosoro} = 21,21 \, \text{m/s} \]
Danho rechitatu: Verenga simba rekinetic rechinhu chinoburitswa panzvimbo yaro yepamusoro.
\[ EK = \frac{1}{2} mv^2 \]
\[ EK_{point \, highest} = \frac{1}{2} \times 2 \times (21,21)^2 \]
\[ EK_{point \, highest} = 1 \times 449,21 = 449,21 \, \text{J} \]
Danho rechina: Verenga kukwirira kwakanyanya kunosvikwa nechinhu chinoburitsa pfuti.
\[ h = \frac{v_{y}^2}{2g} \]
\[ h = \frac{(21,21)^2}{2 \times 9,8} \]
\[ h \inenge 22,9 \, \text{m} \]
Danho rechishanu: Verenga simba regiravhiti panzvimbo yakakwirira.
\[ EP_{point \, highest} = mgh \]
\[ EP_{point \, highest} = 2 \times 9,8 \times 22,9 \]
\[ EP_{point \, highest} \approx 449,72 \, \text{J} \]
Saka, simba remagetsi rechinhu chinoburitswa panzvimbo yakakwirira i449,21 Joules, uye simba regiravhiti rinogona kukweva panzvimbo yakakwirira i449,72 Joules.
Muenzaniso Mubvunzo 4: Simba rekupisa muKukweshana
Mubvunzo: Bhokisi rine huremu hwe10 kg rinosundirwa pasi rakamanikana kwemamita mashanu nesimba risingaperi re30 N. Chiyero chekukakavadzana kwekinetic pakati pebhokisi nepasi i0,2. Simba rakawanda sei rinoshandurwa kuita simba rekupisa nekuda kwekukakavadzana?
Kukurukurirana:
Danho 1: Verenga simba rekukweshana.
\[ f_{friction} = \mu N \]
Dimana:
– \( \mu \) ndiyo coefficient yekukweshana (0,2)
– \( N \) isimba rakajairika. Kune nzvimbo yakati sandara, \( N = mg \)
\[ f_{friction} = 0,2 \kawa 10 \kawa 9,8 = 19,6 \, \text{N} \]
Danho rechipiri: Verenga basa rinoitwa nechisimba.
\[ W = f_{friction} \times d \]
Dimana:
– \( d \) ndiyo daro (5 m)
\[ W = 19,6 \kawa 5 = 98 \, \chinyorwa{J} \]
Simba rinoshandurwa kuita simba rekupisa nekuda kwekukweshana i98 Joules.
Mhedziso
Mutemo weKuchengetedza Simba ipfungwa ine simba inoshanda mumamiriro ezvinhu akawanda efizikisi. Kunzwisisa kwacho kunotibvumira kuongorora zviitiko zvakasiyana-siyana zvepanyama, kubva pazvinhu zvinodonha nekufamba kwezviratidziro kusvika kusimba rinogadzirwa nekukweshana. Mienzaniso iri pamusoro inotibatsira kunzwisisa kuti simba rinogona sei kuchinja chimiro uku richiramba rakafanana muhuwandu. Kunzwisisa kwakakwana kwepfungwa iyi kwakakosha padzidzo uye mashandisirwo anoshanda muinjiniya nesainzi.
