Physics

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

Zvinozivikanwa:

Angle ( θ ) = 3 0 ^o

Kumhanya kwekutanga (vo ₎ = 14 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Kumhanya kwekupedzisira bhora risati rasvika 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 (zvakanaka zvichikwira)

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

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

Zvinodiwa: Kumhanya kwekupedzisira (v _t )

Solution:

v _t ² = v _o ² + 2 gh = 7 ² + 2(-10) (0) = 49 – 0 = 49

v _t = √49 = 7 m/s

Kumhanya kwekupedzisira padivi rakatwasuka

Kumhanya kwekutanga munzira yakatwasuka i7 √ 3 m/s. Kumhanya kwacho hakuchinji saka kumhanya kwekupedzisira kwakafanana nekumhanya kwekutanga.

Kumhanya kwekupedzisira chinhu chisati charova pasi

2. Muviri unotaridzwa mudenga nekona ye30 ^o nehupamhi hwemamita mashanu kubva pachivako. Kumhanya kwawo kwekutanga i10 m/s. Verenga kumhanya kwekupedzisira chinhu chisati charova pasi! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle ( θ ) = 30 ^o

Kureba kwekutanga (h _o ) = mamita gumi

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: 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 (zvakanaka zvichikwira)

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

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

Zvinodiwa: Kumhanya kwekupedzisira (v _t )

Solution:

v _t ² = v _o ² + 2 gh = 5 ² + 2(-10)(-5) = 25 + 100 = 125

v _t = √125 m/s

Kumhanya kwekupedzisira padivi rakatwasuka

Kumhanya kwekupedzisira padivi rakatwasuka i5 √3 m/s.

Kumhanya kwekupedzisira

3. Bhora diki rinotaridzwa rakatwasuka nekumhanya kwekutanga v _o = 8 m/s kubva pachivako chakareba mamita 12. Verenga kumhanya kwekupedzisira bhora risati rasvika pasi ! Kukurumidza kwegiravhiti i10 m/s ²

Zvinozivikanwa:

Kureba (h) = mamita mashanu

Kumhanya kwekutanga (v _o ) = 8 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: 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/s ²

Kureba (h) = 12 m

Zvinodiwa: Kumhanya kwekupedzisira (v _t )

Solution:

v _t ² = 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 kwechinhu - sarudza nzvimbo yechinhu

1. Muviri unosimudzirwa mudenga nekona ye60 ^o kusvika panzvimbo yakatwasuka nekumhanya kwekutanga kwe12 m/s. Sarudza nzvimbo yechinhu mushure mekufamba kwesekondi imwe chete! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle ( θ ) = 60 ^o

Kumhanya kwekutanga (v _o ) = 12 m/s

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zviri kudiwa: Nzvimbo yechinhu mushure mekufamba kwesekondi imwe chete

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v _mombe = 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

Zvinodiwa: 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 (kukwira zvakanaka)

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = -10 m/s ² (kudzika pasi negative)

Zvinodiwa: kureba mushure mekufamba kwesekondi imwe chete

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 unosimudzirwa kumusoro nekona ye30 ^o kusvika pakatarisana kubva pachivako chakareba mamita makumi maviri. Kumhanya kwacho kwekutanga i50 m/s. Verenga kusimuka kwakamira mushure mekunge muviri wafamba kwesekondi imwe chete! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle ( θ ) = 30 ^o

Kureba kwekutanga (h _o ) = mamita gumi

Kumhanya kwekutanga (v _o ) = 50 m/s

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 1 0 m/s ²

Zvinodiwa: Kureba (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 (kukwira kumusoro)

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = -1 0 m/s ² (kudzika pasi negative)

Zvinodiwa: Kureba (h)

Solution:

h = vot ₊ 1/2 gt ^{​​​​2} = (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 kuratidzwa kana mamita makumi mana pamusoro pevhu.

3. Bhora diki rinotaridzwa rakatwasuka nekumhanya kwekutanga v _o = 10 m/s kubva pachivako chakareba mamita gumi. Verenga kusuduruka kwebhora mushure mekufamba kwesekondi imwe ! Kukurumidza kwegiravhiti i10 m/s ²

Zvinozivikanwa:

Kureba kwekutanga (h) = mamita gumi

Kumhanya kwekutanga (v _o ) = 10 m/s

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvaidiwa: 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

Chinodiwa: Nzvimbo yechinhu chacho

Solution:

Mamita gumi pasekondi zvinoreva kuti chinhu chinofamba kusvika pamamita gumi pasekondi imwe chete. Kufamba mushure mekufamba kwesekondi imwe chete mamita gumi. Saka kufamba kwakatwasuka mamita gumi.

Kutamiswa kwakamira:

Yakaverengerwa senzira yekufamba kwemahara.

Zvinozivikanwa:

Nguva yenguva (t) = sekondi imwe chete

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Kureba: Mushure mekufamba kwesekondi imwe (h)

Solution:

h = 1/2 gt ^{​​​​2} = 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 padivi rakatwasuka (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 yekufamba

1. Nhabvu inokandwa inosiya pasi nekona θ = 30 ^o kuenda kune yakatwasuka nekumhanya kwekutanga kwe10 m/s. Verenga nguva kuti usvike pakukwirira kwakanyanya! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 3 0 ^o

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva yekusvika pakukwirira 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 inosarudzwa ne equation yekufamba kwakamira . Sarudza divi rekumusoro serakanaka uye divi rezasi serakaipa.

Zvinozivikanwa:

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

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

Kumhanya kwekupedzisira pakukwirira kwakanyanya (v _t ) = 0

Zvinodiwa: nguva (t)

Solution:

v _t = vo _o + g t

0 = 5 + (-10)t

0 = 5 – 10 t

5 = 10 t

t = 5/10 = 0.5 p

2. Muviri unosimudzirwa kumusoro nekona ye30 ^o kuenda kune yakatwasuka nekumhanya kwekutanga kwe30 m/s. Verenga nguva yekubhururuka! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 3 0 ^o

Kumhanya kwekutanga (v _o ) = 8 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: 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 (kukwira kumusoro)

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

Kumhanya kwekupedzisira pakukwirira kwepamusoro (v _t ) = 0

Zvinodiwa: Nguva (t)

Solution:

v _t = vo _o + g t

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 nehupamhi hwemamita gumi kubva pachivako. Kumhanya kwawo kwekutanga i40 m/s. Zvinotora nguva yakareba sei kuti muviri usvike pasi? Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 3 0 ^o

Kureba kwekutanga (h _o ) = mamita gumi

Kumhanya kwekutanga (v _o ) = 40 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: 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 (kukwira kumusoro)

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

Kumhanya kwekupedzisira pakumhanya kwakanyanya (v _t ) = 0

Zvinodiwa: Nguva (t)

Solution:

v _t = vo _o + g t

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 yekufamba kwemahara kwekudonha.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Kureba (h) = mamita gumi

Zvinodiwa: Nguva (t)

Solution:

h = 1/2 gt ^{​​​​2}

10 = 1/2 (10) t ²

10 = 5 t ²

t ² = 10/5 = 2

t = √2 = 1.4 masekonzi

Nguva yepakati = 1.4 masekondi.

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

4. Bhora diki rinotaridzwa rakatwasuka nekumhanya kwekutanga v _o = 15 m/s kubva pachivako chakareba mamita mashanu. Verenga nguva mumhepo ! Kukurumidza kwegiravhiti 10 m/s ²

Zvinozivikanwa:

Kureba (h) = mamita gumi

Kumhanya kwekutanga (v _o ) = 15 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva iri mumhepo (t)

Solution:

Nguva iri mumhepo inoverengwa uchishandisa equation yekufamba kwakasununguka.

Zvinozivikanwa:

Kureba (h) = mamita gumi

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva (t)

Solution:

h = 1/2 gt ^{​​​​2}

5 = 1/2 (10) t ²

5 = 5 t ²

t ² = 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 kwepfuti - sarudza kukwirira kwakanyanya

1. Nhabvu inokandwa inobuda pasi nekona θ = 60 ^o , yakatambanudzwa iine kumhanya kwekutanga kwe10 m/s. Verenga kukwirira kwakanyanya! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 60 ^o

Kumhanya kwekutanga (vo ₎ = 10 m/s

Zvinodiwa: Kureba kwakanyanya (h)

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

chivi 60 ^o = v _oy / vo _o

v _oy = v _o chivi 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/s ² (kudzika pasi negative)

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

Kumhanya kwekupedzisira pakukwirira kwepamusoro (v _ty ) = 0

Zvinodiwa: Kureba kwakanyanya (h)

Solution:

v _t ² = v _o ² + 2 gh

0 ² = ( 5 √ 3) ² + 2 (-10) maawa

0 = 2 5 ( 3) – maawa makumi maviri

0 = maawa 75 - 20

75 = maawa makumi maviri

h = 75/20

h = mamita 3.75

Kureba kwakanyanya mamita 3.75.

2. Muviri unotaridzwa mudenga nekona ye30 ^o , kukwirira kwawo kubva pachivako kwakareba mamita makumi maviri. Kumhanya kwawo kwekutanga i4 m/s. Verenga kukwirira kwakanyanya! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 30 ^o

Kureba kwekutanga (h) = mamita makumi maviri

Kumhanya kwekutanga (vo ₎ = 4 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Kureba kwakanyanya (h)

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

chivi 30 ^o = v _oy / vo _o

v _oy = v _o chivi 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/s ² (kudzika pasi negative)

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

Kumhanya kwekupedzisira pakukwirira kwakanyanya (v _ty ) = 0

Zvinodiwa: Kureba kwakanyanya

Solution:

Kureba kwakanyanya:

v _t ² = v _o ² + 2 gh

0 ² = 2 ² + 2 (-10) maawa

0 = maawa 4 - 20

4 = maawa makumi maviri

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 kutama kwakatwasuka

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

Zvinozivikanwa:

Angle ( θ ) = 60 ^o

Kumhanya kwekutanga (vo ₎ = 16 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Kutamiswa kwakatwasuka (x)

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v _mombe = 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

Kufamba kweprojectile kunogona kunzwisiswa nekuongorora zvikamu zvekufamba zvakatwasuka uye zvakamira zvakasiyana. Kufamba kwe x kunoitika nekumhanya kwakasimba uye kufamba kwe y kunoitika nekumhanya kwakasimba kwegiravhiti nguva dzose.

Nguva iri mumhepo

Nguva yainomira mumhepo inotsanangurwa nekufamba kwe y. Tinotanga tawana nguva tichishandisa kufamba kwe y tobva tashandisa kukosha kwenguva iyi mu x equations ( constant velocity 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/s ² (g pasi)

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

Zvinodiwa: Nguva Mumhepo

Solution:

h = vhoti ₊ 1/2 gt ^{​​​​2}

0 = ( 8 √ 3) t + 1/2 (-10) t ²

0 = 8 √ 3 t – 5 t ²

8 √ 3 t = 5 t ²

8 (1.7) = 5 t

14 = 5 t

t = 14 / 5 = 2.8 masekondi

Kutamiswa kwakatwasuka

Zvinozivikanwa:

Kumhanya (v) = 8 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Kudiwa: Kudzingwa

Solution:

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

Kufamba kwakatambanuka kwemamita 22.4.

2. Muviri unotaridzwa mudenga nekona ye60 ^o , kukwirira kwawo kubva pachivako kwemamita makumi mashanu. Kumhanya kwawo kwekutanga i30 m/s. Verenga kusimuka kwakatwasuka! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle ( θ ) = 60 ^o

Kureba (h) = 15 m

Kumhanya kwekutanga (v _o ) = 30 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Aida: x

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga ::

v _mombe = 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 (kukwira zvakanaka)

Kukurumidza kwegiravhiti (g) = -10 m/s ² (kudzika pasi negative)

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

Zvaidiwa: t

Solution:

h = vhoti ₊ 1/2 gt ^{​​​​2}

-50 = ( 15 √ 3 ) t + 1/2 (-10) t ²

-50 = 15 √ 3 t – 5 t ²

5 t ² – 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

Kudiwa: kudzingwa

Solution:

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

Kufamba kwakatambanuka kwemamita 100.5.

3. Bhora diki rinotaridzwa rakatwasuka nevelocity yekutanga v _o = 10 m/s kubva pachivako chakareba mamita gumi. Verenga mafambiro akatwasuka ! Kukurumidza kwegiravhiti i10 m/s ²

Zvinozivikanwa:

Kureba (h) = 10 m

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Aida: x

Solution:

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

Nguva iri mumhepo

Nguva iri mumhepo inoverengwa uchishandisa equation yekufamba kwemvura yakasununguka.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Kureba (h) = mamita gumi

Zvaidiwa: t

Solution:

h = 1/2 gt ^{​​​​2}

10 = 1/2 (10) t ²

10 = 5 t ²

t ² = 10 / 5 = 2

t = √2 = 1.4 masekonzi

Kutamiswa kwakatwasuka

Kufamba kwakatambanuka kunoverengwa uchishandisa equation yekufamba nevelocity isingachinji.

Zvinozivikanwa:

Kumhanya (v) = 10 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Aida: 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 - akagadzirisa kumhanya kwekutanga muzvikamu 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