Foromo ea ho Tsamaea ho Emang
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Motsamao o otlolohileng ke mohopolo oa motheo fisiks o hlalosang motsamao oa ntho e otlolohileng ka tsela e otlolohileng, ebang ke holimo kapa tlase. Khopolo ena ea bohlokoa hobane liketsahalo tse ngata tsa letsatsi le letsatsi, joalo ka lintho tse oang kapa lirokete tse qalang, li kenyelletsa motsamao o otlolohileng. Sehloohong sena, re tla buisana ka mekhoa e amanang le motsamao o otlolohileng, melao-motheo ea motheo, le ho fana ka mehlala ea lipalo ho hlakisa mohopolo.
Melao-motheo ea Motheo ea Motsamao o Emeng
Motsamao o otlolohileng tlas'a tšusumetso ea matla a khoheli o ka aroloa ka mekhahlelo e 'meli e meholo: ho oa ka bolokolohi le motsamao o otlolohileng ka lebelo la pele. Mefuta ena ka bobeli ea motsamao e laoloa ke melao ea Newton ea motsamao le tšusumetso ea matla a khoheli a Lefatše.
1. Motsamao oa ho oa o sa lefelloeng
Ho oa ho sa feleng ho etsahala ha ntho e oela tlas'a tšusumetso ea matla a khoheli feela, ntle le lebelo la pele. Lebelo la pele (\(v_0\)) ho oa ho sa feleng ke lefela, 'me lebelo leo ntho e le fumanang ke lebelo le bakoang ke matla a khoheli (\(g\)), le nang le boleng ba hoo e ka bang \(9.8 \, \text{m/s}^2\).
Mekhoa e sebetsang ho motsamao oa ho oa ka bolokolohi ke:
– Lebelo (\(v\)) kamora nako e itseng (\(t\)):
\[v = gt \]
– Sebaka se tsamailweng (\(s\)) kamora nako e itseng (\(t\)):
\[ s = \frac{1}{2}gt^2 \]
– Lebelo (\(v\)) kamora ho wa ho tloha bophahamong bo itseng (\(h\)):
\[v = \sqrt{2gh} \]
2. Motsamao o otlolohileng o nang le lebelo la pele
Ha ntho e lahlelwa hodimo kapa tlase ka lebelo la pele (\(v_0\)), motsamao wa yona o otlolohileng o ba thata le ho feta, empa o ntse o ka sekasekwa ho sebediswa melaomotheo e tshwanang ka ho eketswa ha lebelo la pele. Tabeng ena, ho potlaka ka lebaka la matla a khoheli (\(g\)) ho ntse ho na le phello.
Liforomo tse sebetsang ho motsamao o otlolohileng ka lebelo la pele ke:
– Lebelo (\(v\)) kamora nako e itseng (\(t\)):
\[v = v_0 – gt \]
– Sebaka se tsamailweng (\(s\)) kamora nako e itseng (\(t\)):
\[ s = v_0 t – \frac{1}{2}gt^2 \]
– Lebelo (\(v\)) bophahamong bo itseng (\(h\)):
\[ v = \ sqrt{v_0^2 – 2gh} \]
Mohlala oa Palo
Ho utloisisa mohopolo oa motsamao o otlolohileng ka ho hlaka haholoanyane, ha re shebeng mehlala e meng ea lipalo.
Mohlala oa 1: Motsamao oa ho oa o lokolohileng
A re re bolo e lahleloa ho tloha bophahamong ba limithara tse 20. Re batla ho fumana hore na ho nka nako e kae hore bolo e fihle fatše le lebelo la bolo ha e fihla fatše.
1. Nako e hlokahalang ho fihla fatshe (\(t\)):
\[ s = \frac{1}{2}gt^2 \]
\[ 20 = \frac{1}{2} \times 9.8 \times t^2 \]
\[20 = 4.9t^2 \]
\[t^2 = \frac{20}{4.9} \]
\[t^2 = 4.08 \]
\[t = \sqrt{4.08} \]
\[t \hoo e ka bang 2.02 \, \mongolo{metsotsoana} \]
2. Lebelo ha o ama fatshe (\(v\)):
\[v = gt \]
\[v = 9.8 \makgetlo a 2.02 \]
\[ v \hoo e ka bang 19.8 \, \text{m/s} \]
Kahoo, bolo e tla otla fatshe ka metsotsoana e ka bang 2.02 ka lebelo la hoo e ka bang 19.8 m/s.
Mohlala oa 2: Motsamao o otlolohileng o nang le lebelo la pele le eang holimo
A re re lejoe le lahleloa holimo ka lebelo la pele la 15 m/s. Re batla ho fumana hore na lejoe le fihla bophahamong bo bokae le hore na le nka nako e kae ho fihla bophahamong boo.
1. Bolelele bo phahameng ka ho fetisisa (\(h\)):
Ha bophahamo bo phahameng ka ho fetisisa, lebelo la ho qetela (\(v\)) ke lefela:
\[v = v_0 – gt \]
\[0 = 15 – 9.8t \]
\[t = \frac{15}{9.8} \]
\[t \hoo e ka bang 1.53 \, \mongolo{metsotsoana} \]
2. Sebaka se tsamailweng (bophahamo bo phahameng ka ho fetisisa) (\(h\)):
\[ s = v_0 t – \frac{1}{2}gt^2 \]
\[ h = 15 \makgetlo a 1.53 – \frac{1}{2} \makgetlo a 9.8 \makgetlo (1.53)^2 \]
\[h = 22.95 – 11.45 \]
\[ h \hoo e ka bang 11.5 \, \text{meter} \]
Kahoo, lefika le tla fihla bophahamong bo phahameng ba limithara tse ka bang 11.5 ka metsotsoana e ka bang 1.53.
Litšebeliso tse Sebetsang tsa Motsamao o Emeng
Ho utloisisa motsamao o otlolohileng ho bohlokoa masimong a mangata, ho kenyeletsoa:
1. Boenjiniere ba Meaho le Meaho
Ha ho hahuoa mehaho e melelele kapa marokho, baenjiniere ba hloka ho utloisisa hore na lintho li tla oa kapa li lahleloa joang ho tloha bophahamong bo itseng ho netefatsa polokeho ea basebetsi le basebelisi ba meaho.
2. Lipapali
Lipapaling tse kang bolo ea maoto, basketball, le lebaleng la lipapali, ho utloisisa motsamao o otlolohileng ho ka thusa baatlelete ho ntlafatsa ts'ebetso ea bona. Mohlala, bakoetlisi ba ka sebelisa melao-motheo ea motsamao o otlolohileng ho koetlisa baatlelete ho lahlela kapa ho tlola holimo.
3. Lipatlisiso le Thuto
Liteko tse kenyeletsang motsamao o otlolohileng hangata li etsoa lihlopheng tsa fisiks ho ruta likhopolo tsa motheo tsa matla a khoheli le motsamao. Sena se thusa baithuti ho utloisisa hore na lintho li tsamaea joang tlas'a tšusumetso ea matla a khoheli.
4. Theknoloji ea Sebaka
Ha rokete e qalisoa, ho utloisisa motsamao o otlolohileng ho bohlokoa bakeng sa ho rala litsela tse ntle tsa ho fofa. Baenjiniere ba lifofane ba sebelisa melao-motheo ea motsamao o otlolohileng ho netefatsa hore rokete e fihla potolohong ea eona e lakatsehang.
Qetello
Ho sisinyeha ho otlolohileng ke mohopolo oa motheo fisiks o kenyeletsang ho sisinyeha ha lintho ka mola o otlolohileng o otlolohileng tlas'a tšusumetso ea matla a khoheli. Ka ho utloisisa mekhoa le melao-motheo ea motheo e thehiloeng ho motsamao o otlolohileng, re ka sekaseka le ho bolela esale pele motsamao oa lintho tlas'a maemo a fapaneng. Tsebo ena ha e bohlokoa feela khopolo-taba empa hape e na le lits'ebetso tse pharaletseng tse sebetsang boenjiniere, lipapaling, lipatlisisong le theknolojing ea sebaka. Ka mehlala ea lipalo, re ka bona kamoo mekhoa ena e sebelisoang kateng maemong a sebele, e re thusang ho utloisisa le ho sebelisa mohopolo oa motsamao o otlolohileng ka katleho.
