Matambudziko Akagadziriswa muFizikisi Yekutanga

1. Nhabvu inokandwa inobva pasi nekona θ = 30^o kusvika yakatwasuka ine kumhanya kwekutanga kwe14 m/s. Verenga kumhanya kwekupedzisira bhora risati rarova pasi.

Zvinozivikanwa:

Angle (θ= = 30^o

Kumhanya kwekutanga (v_o) = 14 m/s

Kukurumidza kwegiravhiti (g) = 10 m / s²

Zvaidiwa: Kumhanya kwekupedzisira bhora risati rarova pasi

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v_ox =v_o cos θ = (14 m/s)(cos 30^o) = (14 m/s)(0.5√3= = 7√3 m / s

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (14 m/s)(chivi 30^o) = (14 m/s)(0.5) = 7 m/s

Kumhanya kwekupedzisira padivi rakamira

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 7 m/s (yakanaka kumusoro)

Kukurumidza kwegiravhiti (g) = –10 m / s² (kuderera kwakashata)

Kureba (h) = 0 (chinhu chinodzokera panzvimbo yekutanga)

Zvaidiwa: Kumhanya kwekupedzisira (v)_t)

Solution:

v_t² =v_o² + 2 gh = 7² + 2(-10)(0) = 49 – 0 = 49

v_t = √49 = 7 m/s

Kumhanya kwekupedzisira padivi rakatwasuka

Kumhanya kwekutanga padivi rakatwasuka ndiko 7√3 m/s. Kumhanya hakuchinji saka kumhanya kwekupedzisira kwakafanana nekumhanya kwekutanga.

Kumhanya kwekupedzisira chinhu chisati charova pasi

2. Muviri unosimudzwa mudenga nekona ye30^o ine jira rakatwasuka kubva pachivako rine kukwirira kwemamita mashanu. Kumhanya kwaro kwekutanga i10 m/s. Verenga kumhanya kwekupedzisira chinhu chisati charova pasi! Kukurumidza kwegiravhiti i10 m/s².

Zvinozivikanwa:

Angle (θ= = 30^o

Kureba kwekutanga (h)_o) = mamita makumi matanhatu

Kumhanya kwekutanga (v)_o) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: Kumhanya kwekupedzisira

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v_ox =v_o cos θ = (10 m/s)(cos 30^o) = (10 m/s)(0.5√3= = 5√3 m / s

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (10 m/s)(chivi 30^o) = (10 m/s)(0.5) = 5 m/s

Kumhanya kwekupedzisira padivi rakamira

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 5 m/s (yakanaka kumusoro)

kumhanyisa regiravhiti (g) = –10 m / s² (kuderera kwakashata)

Kureba (h) = -5 m ((hazvina kunaka nekuti pasi riri pasi pekukwirira kwekutanga)

Zvaidiwa: Kumhanya kwekupedzisira (v)_t)

Solution:

v_t² =v_o² + 2 gh = 5² + 2(-10)(-5) = 25 + 100 = 125

v_t = √125 m/s

Kumhanya kwekupedzisira padivi rakatwasuka

Kumhanya kwekupedzisira padivi rakatwasuka ndiko 5√3 m/s.

Kumhanya kwekupedzisira

3. Bhora diki rakatambanudzwa rakatwasuka nespeed yekutanga v_o = 8 m/s kubva pachivako chakareba mamita gumi nemaviri. Verenga kumhanya kwekupedzisira bhora risati rarova pasiKukurumidza kwegiravhiti 10 m/s²

Zvinozivikanwa:

Kureba (h) = mamita mashanu

Kumhanya kwekutanga (v)_o) = 8 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: Kumhanya kwekupedzisira (v)_t)

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v_ox =v_o = 8 m/s

Chikamu chakamira chekukurumidza kwekutanga:

v_oy = 0 m/s

Kumhanya kwekupedzisira padivi rakamira

yakaverengerwa uchishandisa equation ye kufamba kwemahara kwekudonha.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = 10 m / s²

Kureba (h) = 12 m

Zvaidiwa: Kumhanya kwekupedzisira (v)_t)

Solution:

v_t² = 2 gh = 2(10)(12) = 240

v_t = √240 m/s

Kumhanya kwekupedzisira padivi rakatwasuka

Kumhanya kwekutanga munzira yakatwasuka i8 m/s. Kumhanya kwacho hakuchinji saka kumhanya kwekutanga kwakaenzana nekumhanya kwekupedzisira. Saka kumhanya kwekupedzisira munzira yakatwasuka i8 m/s.

Kumhanya kwekupedzisira

[wpdm_package id='534′]

[wpdm_package id='536′]

1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yechinhu chacho
6. Sarudza kumhanya kwekupedzisira

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Matambudziko akagadziriswa mukufamba kwezviratidziro - sarudza nzvimbo yechinhu

1. Muviri unosimudzwa mudenga nekona ye60^o to nzvimbo yakatwasuka ine kumhanya kwekutanga kwe12 m/s. Sarudza nzvimbo yechinhu mushure mekufamba kwesekondi imwe chete! Kukurumidza kwegiravhiti iri 10 m/s².

Zvinozivikanwa:

Angle (θ) = 60^o

Pakutanga velocity (v_o) = 12 m/s

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 10 m / s²

Zvaidiwa: Nzvimbo yechinhu mushure mekufamba kwesekondi imwe chete

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v_ox =v_o cos θ = (12 m/s)(cos 60^o) = (12 m/s)(0.5) = 6 m/s

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (12 m/s)(chivi 60^o) = (12 m/s)(0.5√3= = 6√3 m / s

Nzvimbo yechinhu iri munzira yakatwasuka:

Zvinozivikanwa:

Chikamu chekukurumidza chakatarwa (v)_x) = 6 m/s

Nguva yenguva (t) = sekondi imwe chete

Zvaidiwa: nzvimbo yakatwasuka (x)

Solution:

Mamita matanhatu pasekondi zvinoreva kuti bhora rinofamba kusvika pamamita matanhatu pasekondi imwe chete. Kureba kwebhora mushure mekufamba kwesekondi imwe chete mamita matanhatu. Saka nzvimbo yebhora munzira yakatwasuka mamita matanhatu.

Nzvimbo yechinhu panzvimbo yakatwasuka:

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 6√3 m/s (zvakanaka zvichikwira)

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = -10 m/s² (kuderera kwakashata)

Zvaidiwa: kureba mushure mekufamba kwesekondi imwe

Solution:

h = v_o t + 1/2 gt² = (6√3(1) + 1/2 (-10)(1)²) = 6√3 + (-5)(1) = 6√3 – 5 = 6(1.7) – 5 = 10.2 – 5 = 5.2 mamita.

Nzvimbo yechinhu mushure mekufamba kwesekondi imwe chete:

Kufamba kwakatambanuka (x) = mamita matanhatu

Kufamba kwakamira (y) = 5.2 metres

2. Muviri unosimudzwa mudenga nekona ye30^o to nzvimbo yakatwasuka kubva pachivako chakareba mamita makumi maviri. Kumhanya kwayo kwekutanga i50 m/s. Verenga kusimuka kwakamira mushure mekunge muviri wafamba kwesekondi imwe chete! Kukurumidza kwegiravhiti i10 m/s².

Zvinozivikanwa:

Angle (θ) = 30^o

Kureba kwekutanga (h)_o) = mamita makumi matanhatu

Kumhanya kwekutanga (v)_o) = 50 m / s

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 10 m / s²

Zvaidiwa: Urefu (h)

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (50 m/s)(chivi 30^o) = (50 m/s)(0.5) = 25 m / s

Hurefu:

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 25 m/s (zvakanaka zvichikwira)

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = -10 m / s² (kuderera kwakashata)

Zvaidiwa: Urefu (h)

Solution:

h = v_o t + 1/2 gt² = (25)(1) + 1/2 (-10)(1)²) = 25 + (-5)(1) = 25 – 5 = mamita makumi maviri.

Kureba kwemuviri mushure mekufamba kwesekondi imwe chete kuri mamita makumi maviri pamusoro penzvimbo iyo muviri uri. inofungidzirwa kana kuti mamita makumi mana pamusoro pevhu.

3. Bhora diki rakatambanudzwa rakatwasuka nespeed yekutanga v_o = 10 m/s kubva pachivako chakareba mamita gumi. Verenga bhora richifamba mushure mekufamba kwesekondi imwe cheteKukurumidza kwegiravhiti 10 m/s²

Zvinozivikanwa:

Kureba kwekutanga (h) = mamita gumi

Kumhanya kwekutanga (v)_o) = 10 m/s

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 10 m/s²

Kuda: Nzvimbo yebhora mushure mekufamba kwesekondi imwe chete!

Solution:

Kutamiswa kwakatwasuka:

Zvinozivikanwa:

Chikamu chekukurumidza chakatarwa (v)_x) = 10 m/s

Nguva yenguva (t) = sekondi imwe chete

Kuda: Nzvimbo yechinhu chacho

Solution:

Mamita gumi pasekondi zvinoreva kuti chinhu chinofamba kusvika pamamita gumi pasekondi imwe chete. Displacement Mushure mekufamba kwesekondi imwe chete, makiromita gumi. Saka kufamba kwakatwasuka kwakadzikama mamita gumi.

Kutamiswa kwakamira:

Yakaverengerwa se kufamba kwemahara kwekudonha.

Zvinozivikanwa:

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: Kureba mushure mekufamba kwesekondi imwe (h)

Solution:

h = 1/2 gt² = 1/2 (10)(1)²) = (5)(1) = mamita mashanu.

Mushure mesekondi imwe chete, chinhu chinodonha kusvika pamamita mashanu. Kureba pamusoro pepasi = mamita gumi - mamita mashanu = mamita mashanu.

Nzvimbo yechinhu mushure mekufamba kwesekondi imwe:

Nzvimbo yechinhu chacho pa yakachinjika nzira (x) = mamita gumi

Nzvimbo yechinhu chacho padivi rakamira (y) = mamita mashanu

[wpdm_package id='532′]

[wpdm_package id='536′]

1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yechinhu chacho
6. Sarudza kumhanya kwekupedzisira

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Matambudziko akagadziriswa mukufamba kwezviratidziro - sarudza nguva inosara

1. Nhabvu inokandwa inobva pasi nekona θ = 30^o kusvika pakadzikama nekumhanya kwekutanga kwe10 m/s. Verenga nguva kuti usvike pakukwirira kwakanyanya! Kukurumidza kwegiravhiti iri 10 m/s².

Zvinozivikanwa:

Angle (θ) = 30^o

Kumhanya kwekutanga (v)_o) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: Nguva yekusvika pa kureba kwakanyanya

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (10 m/s)(chivi 30^o) = (10 m/s)(0.5) = 5 m / s

Nguva yekusvika pakukwirira kwepamusoro inotarwa ne kufamba kwakamira Sarudza nzira yekumusoro seyakanaka uye nzira yekudzikira seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 5 m / s (zvakanaka zvichikwira)

Kukurumidza kwegiravhiti (g) = –10 m / s² (kuderera kwakashata)

Kumhanya kwekupedzisira pakukwirira kwakanyanya (v)_t= = 0

Zvaidiwa: nguva (t)

Solution:

v_t =v_o + gt

0 = 5 + (-10)t

0 = 5 – 10 t

5 = 10 t

t = 5/10 = 0.5 p

2. Muviri unosimudzwa mudenga nekona ye30^o to yakatambanuka ine kumhanya kwekutanga kwe30 m/s. Verenga nguva yekubhururuka! Kukurumidza kwegiravhiti i10 m/s².

Zvinozivikanwa:

Angle (θ) = 30^o

Kumhanya kwekutanga (v)_o) = 8 m/s

Kukurumidza kwegiravhiti (g) = 10 m / s²

Zvaidiwa: Nguva isati yasvika muviri usati warova pasi

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (8 m/s)(chivi 30^o) = (8 m/s)(0.5) = 4 m / s

Tinotanga taverenga nguva kuti tisvike pakakwirira tichishandisa equation yekufamba kwakamira.

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 4 m / s (zvakanaka zvichikwira)

Kukurumidza kwegiravhiti (g) = –10 m / s² (kuderera kwakashata)

Kumhanya kwekupedzisira pakukwirira kwepamusoro (v)_t= = 0

Zvaidiwa: Nguva yepakati (t)

Solution:

v_t =v_o + gt

0 = 4 + (-10)t

0 = 4 – 10 t

4 = 10 t

t = 4/10 = 0,4 p

Nguva yekusvika pakukwirira kwakanyanya i 0.4 s.

Nguva iri mumhepo ndeye 2 x 0.4 s = 0.8 s.

3. Muviri unosimudzwa mudenga nekona ye30^o ine denga rakatwasuka kubva pachivako rine kukwirira kwemamita gumi. Kumhanya kwaro kwekutanga i40 m/s. Zvinotora nguva yakareba sei kuti muviri usvike pasi? Kukurumidza kwegiravhiti i10 m/s².

Zvinozivikanwa:

Angle (θ) = 30^o

Kureba kwekutanga (h)_o) = mamita makumi matanhatu

Kumhanya kwekutanga (v)_o) = 40 m/s

Kukurumidza kwegiravhiti (g) = 10 m / s²

Zvaidiwa: Nguva iri mumhepo (t)

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (40 m/s)(chivi 30^o) = (40 m/s)(0.5) = 20 m / s

Tinotanga taverenga nguva kuti tisvike pakakwirira tichishandisa equation yekufamba kwakamira.

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 20 m / s (zvakanaka zvichikwira)

Kukurumidza kwegiravhiti (g) = –10 m / s² (kuderera kwakashata)

Kumhanya kwekupedzisira pakumhanya kwepamusoro (v)_t= = 0

Zvaidiwa: Nguva yepakati (t)

Solution:

v_t =v_o + gt

0 = 20 + (-10)t

0 = 20 – 10 t

20 = 10 t

t = 20/10 = masekondi maviri

Nguva iri mumhepo = 2 x 2 seconds = 4 seconds.

Chinhu chacho chiri pamusoro pevhu mamita gumi. Masekonzi mana ndiyo nguva inosvika panzvimbo yakaenzana nenzvimbo yekutanga. Bhora richiri kufamba richidzika pasi.

Nguva yekusvika pasi inoverengwa uchishandisa equation ye kufamba kwemahara kwekudonha. 

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = 10 m / s²

Kureba (h) = mamita gumi

Zvaidiwa: Nguva yepakati (t)

Solution:

h = 1/2 gt²

10 = 1/2 (10) t²

10 = 5 t²

t² = 10/5 = 2

t = √2 = 1.4 masekondi

Nguva yepakati = 1.4 masekondi.

Nguva yese = masekondi mana + masekondi 1.4 = masekondi 5.4.

4. Bhora diki rakatambanudzwa rakatwasuka nespeed yekutanga v_o = 15 m/s kubva pachivako chakareba mamita mashanu. Verenga nguva mumhepoKukurumidza kwegiravhiti 10 m/s²

Zvinozivikanwa:

Kureba (h) = mamita gumi

Kumhanya kwekutanga (v)_o) = 15 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Kuda: Nguva iri mumhepo (t)

Solution:

Nguva iri mumhepo inoverengwa uchishandisa equation yekufamba kwakasununguka.

Zvinozivikanwa:

Kureba (h) = mamita gumi

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: Nguva yepakati (t)

Solution:

h = 1/2 gt²

5 = 1/2 (10) t²

5 = 5 t²

t² = 5/5 = 1

t = √1 = sekondi imwe

[wpdm_package id='531′]

[wpdm_package id='536′]

1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yezvinhu
6. Sarudza kumhanya kwekupedzisira

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Matambudziko akagadziriswa mukufamba kwezviratidziro - sarudza kukwirira kwakanyanya

1. Nhabvu inokandwa inobva pasi nekona θ = 60^o neyakatwasuka ine kumhanya kwekutanga kwe10 m/s. Verenga kukwirira kwakanyanya! Kukurumidza kwegiravhiti iri 10 m/s².

Zvinozivikanwa:

Angle (θ) = 60^o

Kumhanya kwekutanga (v)_o) = 10 m/s

Zvaidiwa: Kureba kwakanyanya (h)

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

pasina 60^o =v_oy /v_o

v_oy =v_o pasina 60^o = (10)(chivi 60^o) = (10)(0.5√3= = 5√3 m / s

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = -10 m/s² (kuderera kwakashata)

Chikamu chakamira chekukurumidza kwekutanga (v)_oy) = +5√3 m / s (zvakanaka zvichikwira)

Kumhanya kwekupedzisira pakukwirira kwepamusoro (v)_ty= = 0

Zvaidiwa: Kureba kwakanyanya (h)

Solution:

v_t² =v_o² + 2 gh

0² = (5√3)² + 2 (-10) maawa

0 = 25(3) – maawa masere

0 = 75 – maawa masere

75 = 20 h

h = 75/20

h = mamita 3.75

Kureba kwakanyanya mamita 3.75.

2. Muviri unosimudzwa mudenga nekona ye30^o ine kukwirira kwemamita makumi maviri kubva pachivako. Kumhanya kwayo kwekutanga i4 m/s. Verenga kukwirira kwakanyanya! Kukurumidza kwegiravhiti i10 m/s².

Zvinozivikanwa:

Angle (θ) = 30^o

Kureba kwekutanga (h) = mamita makumi maviri

Kumhanya kwekutanga (v_o) = 4 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: Kureba kwakanyanya (h)

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

pasina 30^o =v_oy /v_o

v_oy =v_o pasina 30^o = (4)(chivi 30^o) = (4)(0.5) = 2 m / s

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = -10 m/s² (kuderera kwakashata)

Chikamu chakamira chekukurumidza kwekutanga (v)_oy) = +2 m / s (zvakanaka zvichikwira)

Kumhanya kwekupedzisira pakukwirira kwakanyanya (v)_ty= = 0

Zvaidiwa: Kureba kwakanyanya

Solution:

Kureba kwakanyanya:

v_t² =v_o² + 2 gh

0² = 2² + 2 (-10) maawa

0 = 4 – maawa masere

4 = 20 h

h = 4/20

h = mamita 0.2

Kureba kwakanyanya i 0.2 metres + 20 metres = 20.2 metres.

[wpdm_package id='528′]

[wpdm_package id='536′]

1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yezvinhu
6. Sarudza kumhanya kwekupedzisira

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Matambudziko akagadziriswa mukufamba kwezviratidziro - sarudza mafambiro akatwasuka

1. Nhabvu inokandwa inobva pasi nekona θ = 60^o nebhora rakatwasuka rine kumhanya kwekutanga kwe16 m/s. Zvinotora nguva yakareba sei bhora risati rarova pasi?

Zvinozivikanwa:

Angle (θ) = 60^o

Kumhanya kwekutanga (v)_o) = 16 m / s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: Kufamba kwakatsetseka (x)

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v_ox =v_o cos θ = (16 m/s)(cos 60^o) = (16 m/s)(0.5) = 8 m / s

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (16 m/s)(chivi 60^o) = (16 m/s)(0.5√3= = 8√3 m / s

projectile-motion zvinogona kunzwisiswa nekuongorora zvikamu zvekufamba zvakatwasuka uye zvakamira zvakasiyana. Kufamba kwe x kunoitika nekumhanya kwakafanana uye kufamba kwe y kunoitika nekumhanya kwakafanana kwegiravhiti.

Nguva iri mumhepo

Nguva yainomira mumhepo inotsanangurwa nekufamba kwe y. Tinotanga tawana nguva tichishandisa kufamba kwe y tobva tashandisa kukosha kwenguva iyi mu x equation (kumhanya kunogara kuripo equation).

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 8√3 m / s (v_o kumusoro)

Kukurumidza kwegiravhiti (g) = -10 m/s² (g pasi)

Kureba (h) = 0 (bhora radzokera panzvimbo imwe chete)

Zvaidiwa: Nguva iri mumhepo

Solution:

h = v_o t + 1/2 gt²

0 = (8√3) t + 1/2 (-10) t²

0 = 8√3 t – 5 t²

8√3 t = 5 t²

8 (1.7) = 5 t

14 = 5 t

t = 14 / 5 = masekondi 2.8

Kutamiswa kwakatwasuka

Zvinozivikanwa:

Velocity (v) = 8 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Zvaidiwa: Displacement

Solution:

x = vt = (8 m/s)(2.8 s) = 22.4 metres

Kufamba kwakatambanuka kwemamita 22.4.

2. Muviri unosimudzwa mudenga nekona ye60^o ine denga rakatambanudzwa kubva pachivako rine kukwirira kwemamita makumi mashanu. Kumhanya kwaro kwekutanga i30 m/s. Verenga mafambiro aro! Kukurumidza kwegiravhiti i10 m/s².

Zvinozivikanwa:

Angle (θ) = 60^o

Kureba (h) = 15 m

Kumhanya kwekutanga (v)_o= = 30 m / s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: x

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga ::

v_ox =v_o cos θ = (30 m/s)(cos 60^o) = (30 m/s)(0.5) = 15 m/s

Chikamu chakamira chekukurumidza kwekutanga:

v_oy =v_o chivi θ = (30 m/s)(chivi 60^o) = (30 m/s)(0.5√3= = 15√3 m / s

Nguva iri mumhepo

Tinotanga tawana nguva tichishandisa y motion tobva tashandisa iyi time value mu x equations (constant velocity equation). Sarudza kumusoro zvakanaka uye pasi zvakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 15√3 m / s (zvakanaka zvichikwira)

Kukurumidza kwegiravhiti (g) = -10 m/s² (kuderera kwakashata)

Kumusoro (h) = -50 (Pasi mamita makumi mashanu pasi penzvimbo yekutanga)

Zvaidiwa: t

Solution:

h = v_o t + 1/2 gt²

-50 = (15√3) t + 1/2 (-10) t²

-50 = 15√3 t – 5 t²

5 t² - 15√3 t – 50 = 0

Verenga nguva uchishandisa fomura iyi:

a = 5, b = –15√3, c = –50

Nguva iri mudenga imasekondi 6.7.

Kutamiswa kwakatwasuka:

Zvinozivikanwa:

Kumhanya (v) = 15 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Zvaidiwa: kudzingiswa

Solution:

s = vt = (15 m/s)(6.7 s) = mamita 100.5

Kufamba kwakatambanuka kwemamita 100.5.

3. Bhora diki rakatambanudzwa rakatwasuka nespeed yekutanga v_o = 10 m/s kubva pachivako chine kukwirira kwemamita gumi. Verenga mafambiro akatwasukaKukurumidza kwegiravhiti 10 m/s²

Zvinozivikanwa:

Kureba (h) = 10 m

Kumhanya kwekutanga (v)_o= = 10 m / s

Kukurumidza kwegiravhiti (g) = 10 m/s²

Zvaidiwa: x

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga = kumhanya kwekutanga = 10 m/s.

Nguva iri mumhepo

Nguva iri mumhepo inoverengwa uchishandisa kufamba kwemahara kwekudonha equation.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = 10 m/s²

Kureba (h) = mamita gumi

Zvaidiwa: t

Solution:

h = 1/2 gt²

10 = 1/2 (10) t²

10 = 5 t²

t² = 10/5 = 2

t = √2 = 1.4 masekondi

Kutamiswa kwakatwasuka

Kufamba kwakatambanuka kwakaverengerwa uchishandisa equation ye kufamba nekumhanya kusingachinji.

Zvinozivikanwa:

Kumhanya (v) = 10 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Zvaidiwa: x

Solution:

s = vt = (10 m/s)(1.4 s) = mamita 14

Kufamba kwakatambanuka kwemamita 14.

[wpdm_package id='526′]

[wpdm_package id='536′]

1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yezvinhu
6. Sarudza kumhanya kwekupedzisira

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Matambudziko akagadziriswa mukufamba kwezviratidziro - gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira

1. Nhabvu inokandwa inobuda pasi nekona θ = 60^o nekumhanya kwe10 m/s. Verenga zvikamu zvekutanga zvekumhanya!
Zvinozivikanwa:
Angle (θ) = 60^o
Kumhanya kwekutanga (v)_o) = 10 m/s
Zvaidiwa: v_ox uye v_oy
Solution:
Gadzirisa velocity yekutanga kuita x component (horizontal) uye y component (vertical).
chivi θ = v_oy /v_o —–> v_oy =v_o chivi θ
cos θ = v_ox /v_o —–> v_ox =v_o cos θ

chikamu che x (chakatambanuka):
v_ox =v_o cos θ = (10 m/s)(cos 60^o) = (10 m/s)(0.5) = 5 m/s

chikamu che y (chakamira):
v_oy =v_o chivi θ = (10 m/s)(chivi 60^o) = (10 m/s)(0.5√3) = 5√3 m/s

2. Chinhu chinobuda pasi nekona θ = 30^o nechikamu che y chekukurumidza kwe10 m/s. Verenga kumhanya kwekutanga!
Zvinozivikanwa:
Angle (θ) = 30^o
chikamu che y (v)_oy) = 10 m/s
Zvaidiwa: Kumhanya kwekutanga (v)_o)
Solution:
v_oy =v_o chivi θ
10 = (v)_o(chivi 30)^o)
10 = (v)_o)(0.5)
v_o = 10/0.5
v_o = 20 m/s

3. Chikamu chakatarwa chekukurumidza kwekutanga i30 m/s uye chikamu chakatwasuka chekukurumidza kwekutanga i40 m/s. Verenga kumhanya kwekutanga.
Zvinozivikanwa:
Chikamu chakatarwa chekukurumidza kwekutanga (v)_ox) = 30 m/s
Chikamu chakamira chekukurumidza kwekutanga (v)_oy) = 40 m/s
Zvaidiwa: Kumhanya kwekutanga (v)_o)
Solution:
v_o² =v_ox² + v_oy² = 30² + 40² = 900 + 1600 = 2500
v_o = √2500
v_o = 50 m/s

4. Bhora diki rinotaridzwa rakatwasuka nespeed yekutanga v_o = 6m/s. Verenga chikamu che x nechikamu che y chekukurumidza kwekutanga.
Zvinozivikanwa:
Kumhanya kwekutanga (v)_o) = 6 m/s
Zvaidiwa: vox na v_oy
Solution:
Bhora rinofamba rakatwasuka kuitira kuti chikamu chekukurumidza (v) chienderane nechakatwasuka_ox) = kumhanya kwekutanga (v)_o) = 6 m/s. Chikamu chakamira chekukurumidza (v)_oy= 0.

[wpdm_package id='545′]

[wpdm_package id='536′]

1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yezvinhu
6. Sarudza kumhanya kwekupedzisira

Read more