Physics

1. Huremu hwechinhu = 2 kg, kukurumidza nekuda kwegiravhiti = 9.8 m/s ² , kuenzana kwekukakavadzana kwakagadzika = 0.2, kuenzana kwekukakavadzana kwekinetic = 0.1. Chinhu chiri kuzorora here kana kuti chiri kukurumidza? Kana chinhu chacho chichikurumidza, tsvaga (a) simba remagetsi (b) hukuru uye gwara rekumhanya kwebhokisi!

mhinduro

Zvinozivikanwa:

Huremu (m) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s ²

Koefficient ye static friction ( μs ₎ = 0.2

Kukweshana kwekinetic ( μk ₎ = 0.1

Huremu (w) = mg = (2)(9.8) = 19.6 Newtons

Chikamu chakatarwa chehuremu ( w _x ) = w sin 30 ^o = (19.6)(0.5) = 9.8 Newtons

Chikamu chakamira chehuremu hwe th (w _y ) = w cos 30 ^o = (19.6)(0.5√3) = 9.8√3 Newtons

Simba rakajairika (N) = w _y = 9.8√3 Newtons

Simba rekukweshana kusingachinji (fs ₎ = (0.2)(9.8√3) = 1.96√3 Newton = 3.39 Newton

Simba rekukweshana kwekinetic (f _k ) = (0.1)(9.8√3) = 0.98√3 Newton = 1.69 Newton

Solution:

Chinhu chiri pazororo kana w _x < fs _, chinhu chiri kufamba pasi kana w _x > _fs.

w _x = 9.8 Newtons uye fs ₌ 3.39 Newtons.

(a) simba remagetsi

∑ F = w _x – f _k = 9.8 – 1.69 = 8.11 Newtons

(b) hukuru uye gwara rekumhanya

∑ F = ma

8.11 = (2) a

kuti = 4.05

Hukuru hwekukurumidzira = 4.05 m/s ² uye divi rekukurumidzira = pasi.

[irp]

2. Huremu hwechinhu = 4 kg, kukurumidza nekuda kwegiravhiti = 9,8 m/s ² . Coefficient yekinetic friction = 0.2 uye coefficient yestatic friction = 0.4. Hukuru hwesimba F = 40 Newtons. Chinhu chacho chiri pazororo kana kuti chinotsvedza pasi? Kana chinhu chacho chikatsvedza pasi, tsvaga (a) simba remambure (b) hukuru uye gwara rekumhanya!

mhinduro

Zvinozivikanwa:

Huremu (m) = 4 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s ²

Chiyero chekukweshana kwesimba ( μs ₎ = 0.4

Chiyero chekukweshana kwekinetic ( μk ₎ = 0.2

Huremu (w) = mg = (4)(9.8) = 39.2 Newtons

Chikamu chakatarwa chehuremu (w _x ) = w sin 30 ^o = (39.2)(0.5) = 19.6 Newtons

Chikamu chakamira chehuremu (w _y ) = w cos 30 ^o = (392)(0..5√3) = 19.6√3 Newtons

Simba rakajairika (N) = w _y = 19.6√3 Newtons = 33.95 Newtons

simba rekukweshana kwesimba (fs ₎ = μ _s N = (0,4)(33.95) = 13.58 Newtons

Simba rekukweshana kwekinetic (f _k ) = μ _k N = (0.2)(33.95) = 6.79 Newtons

F = 40 Newton

Solution:

Chinhu chinotsvedza pasi kana F < w _x + fs _. Chinhu chinotsvedza kumusoro kana F > w _x + _fs.

F = 40 Newtons, w _x = 19.6 Newtons uye fs ₌ 13.58 Newtons.

F yakakura kupfuura w _x + f _s saka chinhu chacho chinotsvedza.

(a) Simba remagetsi

∑ F = F – w _{x – fk =} 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Hukuru uye gwara rekumhanya

∑ F = ma

6.4 = (4) a

kuti = 1.6

Hukuru hwekumhanya kwemhepo ndeye 1.6 m/s ² uye divi rekumhanya kwemhepo riri mudenga.

[irp]

[wpdm_package id='481′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri ine kumhanyisa kwakafanana pamusoro penzvimbo yakatwasuka ine simba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba mundege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri kwakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

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1. Huremu hwebhokisi = 2 kg, kumhanyisa nekuda kwegiravhiti = 9.8 m/s ² . Tsvaga (a) simba rinomhanyisa bhokisi richidzika (b) hukuru hwekumhanya kwebhokisi.

mhinduro

Zvinozivikanwa:

Huremu (m) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s ²

Huremu (w) = mg = (2)(9.8) = 19.6 Newtons

w _x = w chivi 30 = (19.6)(0.5) = 9.8 Newtons

w _y = w cos 30 = (19.6)(0.5√3) = 9.8√3 MaNewton

Solution:

(a) Mambure ekusimbisa anokurumidzisa bhokisi

Nzvimbo yakakotama yakatsetseka, saka hapana simba rekukweshana. Simba rega rinoshanda pachinhu chacho ndi w _x.

∑ F = w _x

∑ F = 9.8 Newton

(b) hukuru hwekukurumidzira

∑ F = ma

9.8 = (2) a

a = 9.8 / 2

a = 4.9 m/s ²

Hukuru hwekumhanya kwemotokari ndeye 4.9 m/s ² , divi rekumhanya kwemotokari riri pasi.

[irp]

2. Nzvimbo yakakotama yakatsetseka saka hapana simba rekukweshana . Huremu hwechinhu i3 kg, kukurumidza nekuda kwegiravhiti i9.8 m/s ² . Sarudza hukuru hwesimba F kana (a) chinhu chiri pachigaro (b) chinhu chiri kufamba pasi nekumhanya kunogara kwe2 m/s ² (c) chinhu chiri kufamba kumusoro nekumhanya kunogara kwe2 m/s ².

mhinduro

Zvinozivikanwa:

Huremu (m) = 3 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s ²

Huremu (w) = mg = (3)(9.8) = 29.4 Newtons

w _x = w chivi 30 = (29.4)(0.5) = 14.7 Newtons

w _y = w cos 30 = (29.4)(0.5√3) = 14.7√3 MaNewton

Solution:

(a) Hukuru hwesimba F kana chinhu chiri pachigaro

Mutemo wekutanga waNewton wekufamba unoti kana chinhu chiri pachigaro, simba remagetsi rinoita basa pachinhu chacho izero.

∑ F = 0

F – w _x = 0

F = w _x

F = 14.7 Newton

(b) Hukuru hwesimba F kana chinhu chiri kufamba chichidzika pasi pa 2 m/s ²

∑ F = ma

w _x – F = ma

14.7 – F = (3)(2)

14.7 – F = 6

F = 14.7–6

F = 8.7 Newton

(c) Hukuru hwesimba F kana chinhu chiri kufamba mudenga pa 2 m/s ²

∑ F = ma

F – w _x = ma

F – 14.7 = (3)(2)

F – 14.7 = 6

F = 14.7 + 6

F = 20.7 Newton

[irp]

[wpdm_package id='479′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri ine kumhanyisa kwakafanana pamusoro penzvimbo yakatwasuka ine simba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba mundege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri kwakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

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1. Huremu hwebhokisi 1 i2 kg, huremu hwebhokisi 2 i4 kg, kukurumidza kwegiravhiti i10 m/s ² , hukuru hwesimba F i40 Newtons. Kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 1 nepasi i0.2 uye kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 2 nepasi i0.3. Tsvaga (a) Huremu negwara rekukakavadzana kwebhokisi ( b) Huremu hwesimba rinoitwa nebhokisi 1 pabhokisi 2 (F ₁₂ ) uye hukuru hwesimba rinoitwa nebhokisi 2 pabhokisi 1 (F ₂₁ ).

mhinduro

Zvinozivikanwa:

Huremu hwebhokisi 1 (m1 ₎ = 2 kg

Huremu hwebhokisi 2 (m2 ₎ = 4 kg

Kukurumidza kwegiravhiti (g) = 10 m/s ² ,

Simba F = 40 Newton,

Kukweshana kwekinetic pakati pebhokisi 1 nepasi ( μ _k1 ) = 0.2

Kukweshana kwekinetic pakati pebhokisi 2 nepasi ( μ _k2 ) = 0.3

Kurema kwebhokisi 1 (w ₁ ) = m ₁ g = (2)(10) = 20 Newtons

Kurema kwebhokisi 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

Simba rakajairika rinoitwa pabhokisi 1 (N ₁ ) = w ₁ = 20 Newtons

Simba rakajairika rinoitwa pabhokisi 2 (N ₂ ) = w ₂ = 40 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Solution:

(a) Hukuru uye kutungamira kwekumhanya kwebhokisi

ΣF = ma

F – f _k1 – f _k2 = (m ₁ + m ₂ ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s ²

Kutungamira kwekukurumidzisa = kutungamira kwesimba remagetsi = kurudyi.

(b) Hukuru hwesimba rinoitwa nebhokisi 1 pabhokisi 2 (F ₁₂ ) uye hukuru hwesimba rinoitwa nebhokisi 2 pabhokisi 1 (F ₂₁ ).

Verenga hukuru hweF ₁₂ :

ΣF = ma

F ₁₂ – f _k2 = (m ₂ ) a

F ₁₂ – 12 = (4)(4)

F ₁₂ - 12 = 16

F ₁₂ = 16 + 12

F ₁₂ = 28 Newton

F ₁₂ naF ₂₁ masimba ekuita uye ekuita anoshanda pazvinhu zvakasiyana. F ₁₂ naF ₂₁ ane hukuru hwakafanana uye divi rakapesana.

F ₁₂ = 28 Newtons = F ₂₁ = 28 Newtons.

[irp]

2. Huremu hwebhokisi 1 i2 kg, huremu hwebhokisi 2 i4 kg, kukurumidza kwegiravhiti i10 m/s ² , simba F i40 N. Kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 1 nepasi i0.2 uye kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 2 nepasi i0.3. Sarudza (a) Hukuru uye kutungamira kwekukakavadzana (b) Kumanikidzwa kwetambo inobatanidza mabhokisi. Usatarisa huremu hwetambo.

Zvinozivikanwa:

Huremu hwebhokisi 1 (m1 ₎ = 2 kg

Huremu hwebhokisi 2 (m2 ₎ = 4 kg

Kukurumidza kwegiravhiti (g) = 10 m/s ² ,

Simba F = 40 Newton,

Kuenzana kwekukweshana kwekinetic pakati pebhokisi 1 nepasi i0.2 ( μ _k1 ) = 0.2

Kuenzana kwekukweshana kwekinetic pakati pebhokisi 2 nepasi i0.2 ( μ _k2 ) = 0.3

Kurema kwebhokisi 1 (w ₁ ) = m ₁ g = (2)(10) = 20 Newtons

Kurema kwebhokisi 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

Simba rakajairika rinoitwa pabhokisi 1 (N ₁ ) = w ₁ = 20 Newtons

Simba rakajairika rinoitwa pabhokisi 2 (N ₂ ) = w ₂ = 40 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Solution:

(a) hukuru uye gwara rekumhanya

ΣF = ma

F – f _k1 – f _k2 = (m ₁ + m ₂ ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s ²

Hukuru hwekumhanya kwemhepo ndeye 4 m/s ² , divi rekumhanya kwemhepo = divi resimba remagetsi = divi rekurudyi.

(b) Kushushikana mutambo

Masimba anoshandiswa pabhokisi 1 munzira yakatwasuka ndeaya: kumanikidzwa 1 (T ₁ ) kurudyi uye simba rekukweshana kinetic 1 (f _k1 ) kuruboshwe. Shandisa mutemo wechipiri waNewton:

ΣF = ma

T ₁ – f _k1 = m ₁ a

T ₁ – 4 = (2)(4)

T ₁ – 4 = 8

T ₁ = 8 + 4 = 12 Newton

Masimba anoshanda pabhokisi rechipiri munzira yakatwasuka ndiwo kumanikidzwa 2 (T ₂ ) kuruboshwe uye simba rekukweshana kwekinetic 2 (f _k2 ) kurudyi. Shandisa mutemo wechipiri waNewton :

ΣF = ma

F – T ₂ – f _k2 = m ₂ a

40 – T ₂ – 12 = (4)(4)

28 – T ₂ = 16

T ₂ = 28 – 16 = 12 Newton

Kusimba kwetambo inobatanidza mabhokisi = T ₁ = T ₂ = T = 12 Newtons.

[irp]

[wpdm_package id='493′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri nekukurumidzisa kwakafanana panzvimbo yakatwasuka yakatwasuka nesimba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba kwendege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri yakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

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1. Huremu hwechinhu 1 i2 kg, huremu hwechinhu 2 i4 kg, kukurumidza kwegiravhiti i10 m/s ² , hukuru hwesimba F i12 Newtons. Sarudza hukuru uye gwara rekumhanya kwezvinhu.

Zvinozivikanwa:

m ₁ = 2 kg, m ₂ = 4 kg, g = 10 m/s ² , F = 12 Newtons

Zvaidiwa : a

Solution:

Σ F = ma

F = (m ₁ + m ₂ ) a

12 = (2 + 4) a

12 = 6 a

a = 12 / 6

a = 2 m/s ²

Hukuru hwekumhanya kwemhepo ndeye 2 m/s ² , divi rekumhanya kwemhepo = divi resimba remagetsi = divi rekurudyi.

[irp]

2. Huremu hwechinhu 1 i2 kg, huremu hwechinhu 2 i4 kg, kukurumidza kwegiravhiti i10 m/s ² , hukuru hwesimba F i24 N. Sarudza hukuru uye gwara rekumhanya.

Zvinozivikanwa:

m ₁ = 2 kg, m ₂ = 4 kg, g = 10 m/s ² , F = 24 Newtons

Zvinodiwa: kukurumidza (a)

Solution:

Σ F = ma

F = (m ₁ + m ₂ ) a

24 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s ²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kurudyi.

[irp]

[wpdm_package id='474′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri ine kumhanyisa kwakafanana pamusoro penzvimbo yakatwasuka ine simba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba mundege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri kwakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

Read more

Matambudziko akagadziriswa mumitemo yaNewton yekufamba - Simba rekukweshana kwesimba uye kinetic

1. Chinhu chinogara pasi rakatwasuka. Chiyero chekukakavadzana kwesimba risingachinji i0.4 uye kukurumidza kwegiravhiti i9.8 m/s ^2. Sarudza (a) Simba guru rekukakavadzana kwesimba risingachinji (b) Simba shoma reF

mhinduro

Zvinozivikanwa:

Huremu (m) = 1 kg

Muyero wekukweshana kwesimba (μ _s ) = 0.4

Kukurumidza kwegiravhiti (g) = 9.8 m/s ²

Huremu (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 Newtons

Simba rakajairika (N) = w = 10 Newtons

Zvaidiwa:

(a) Simba guru rekukweshana kwakasimba (b) Simba shoma raF

Solution:

(a) Simba guru rekukweshana kwakasimba

fs = μs N_​​

f _s = (0.4)(9.8 N) = 3.92 Newtons

(b) Simba shoma raF

Kana simba F rikaitwa pachinhu asi chinhu chisina kufambiswa, saka panofanira kunge paine simba rekukweshana kusingachinji rinoitwa nepasi pachinhu chacho. Kana chinhu chikatanga kufamba, simba rekukweshana kusingachinji rakapfuudzwa, panofanira kunge paine simba rekukweshana kusingachinji. Chinhu chinotanga kufamba kana F yakakura kupfuura simba guru rekukweshana kusingachinji.

Saka simba shoma raF = simba guru re static friction = 3.92 Newtons.

[irp]

2. Bhokisi re 1 kg rinodhonzwa pamusoro penzvimbo yakatambanuka ne force F, saka bhokisi riri kufamba ne stroke isingachinji. Kana kinetic friction coefficient iri 0.1, sarudza hukuru hwe force F! (g = 9.8 m/s ² )

Zvinozivikanwa:

_{Chiyero chekukweshana kwekinetic} ( μk ) = 0.1

Huremu hwebhokisi (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s ²

Huremu (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Simba rakajairika (N) = w = 9.8 Newtons

Aida : F

Solution:

Mutemo wekutanga waNewton unoti kana pasina simba rinoshanda pachinhu, chinhu chimwe nechimwe chinoramba chiri mumamiriro acho ekuzorora, kana kuti kumhanya kunogara kwakatwasuka.

Saka kana chinhu chichifamba nespeed isingachinji , hapafanire kuva ne net force ( Σ F = 0) . Force F inoshandiswa pachinhu ichi munzira chaiyo kuitira kuti simba re kinetic friction riiswe pachinhu ichi kuruboshwe.

∑ F = 0

F – f _k = 0

F = f _k

Simba rekukweshana kwekinetic:

f _k = μ _k N = (0.1)(9.8 N) = 0.98 Newtons

chinhu chinofamba nekumhanya kusingachinji, F = f _k = 0.98 maNewton

[irp]

3. Chinhu chinotsvedza pasi chakarerekera nekumhanya kusingachinji. Tsvaga kinetic friction coefficient ( _μk ) . g = 9.8 m/s ²

mhinduro

w = huremu, w _x = chikamu chakatarwa chehuremu, mapoinzi ari padivi penzvimbo yakatenuka, w _y = chikamu chakamira chehuremu, chakatarisana nendege yakatenuka, N = simba rakajairika, f _k = simba rekukweshana kwekinetic.

Zvinozivikanwa:

Huremu (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s ²

huremu (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

w _x = w sin 30 ^o = (9.8 N)(0.5) = 4.9 Newtons

w _y = w cos 30 ^o = (9.8 N)(0.5) √ 3 = 4.9 √ 3 Newtons

Simba rakajairika (N) = w _y = 4.9 √ 3 Newtons

Zvinodiwa : kinetic friction coefficient ( μk ₎

Solution:

Chinhu chinotsvedza pasi chakarerekera nespeed isingachinji kuitira kuti simba remambure = 0.

∑ F = 0

w _x – f _k = 0

w _x = f _k

w _x = μ _k N

5 = μ _k ( 5 √ 3 )

μ _k = 5 / 5 √ 3

μ _k = 1 / √ 3

μk ₌ 0.58

[irp]

[wpdm_package id='472′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri nekukurumidzisa kwakafanana panzvimbo yakatwasuka yakatwasuka nesimba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba kwendege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri yakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

Read more

Matambudziko akagadziriswa mumitemo yaNewton yekufamba - mutemo wechipiri waNewton wekufamba 

1. Chinhu chinorema 1 kg chakamhanyisa pa 5 m/s ² . Fungidzira simba remagetsi rinodiwa kuti chinhu chikurumidze.

Zvinozivikanwa:

Huremu (m) = 1 kg

Kukurumidzisa (a) = 5 m/s ²

Zvinodiwa : simba remagetsi (∑F)

Solution:

Tinoshandisa mutemo wechipiri waNewton kuti tiwane simba remagetsi.

∑ F = ma

∑ F = (1 kg)(5 m/s ² ) = 5 kg m/s ² = 5 Newtons

[irp]

2. Huremu hwechinhu = 1 kg, simba remagetsi ∑F = 2 Newtons. Sarudza hukuru uye divi rekumhanya kwechinhu….

Zvinozivikanwa:

Huremu (m) = 1 kg

Simba reNet (∑F) = 2 Newton

Zvinodiwa : Hukuru uye gwara rekumhanya (a)

Solution:

a = ∑F / m

a = 2 / 1

a = 2 m/s ²

Kutungamira kwekukurumidzisa = kutungamira kwesimba remagetsi (∑F)

[irp]

3. Huremu hwechinhu = 2 kg, F ₁ = 5 Newtons, F ₂ = 3 Newton. Hukuru uye gwara rekumhanya kwacho…

Zvinozivikanwa:

Huremu (m) = 2 kg

F ₁ = 5 Newton

F ₂ = 3 Newton

Zvinodiwa: Hukuru uye gwara rekumhanya (a)

Solution:

simba remagetsi:

∑ F = F ₁ – F ₂ = 5 – 3 = 2 Newtons

Kukura kwekukurumidzira:

a = ∑F / m

a = 2 / 2

a = 1 m/s ²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kutungamira kwaF ₁

[irp]

4. Huremu hwechinhu = 2 kg, F ₁ = 10 Newtons, F ₂ = 1 Newton. Hukuru uye gwara rekumhanya kwacho…

Zvinozivikanwa:

Huremu (m) = 2 kg

F ₂ = 1 Newton

F ₁ = 10 Newton

F _1x = F ₁ cos 60 ^o = (10)(0.5) = 5 Newtons

Zvinodiwa : Hukuru uye gwara rekumhanya (a)

Solution:

Simba reNet:

∑ F = F _1x – F ₂ = 5 – 1 = 4 Newtons

Kukura kwekukurumidzira:

a = ∑F / m

a = 4 / 2

a = 2 m/s ²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kutungamira kweF _1x

[irp]

5. F ₁ = 10 Newtons, F ₂ = 1 Newton, m ₁ = 1 kg, m ₂ = 2 kg. Hukuru negwara rekumhanya kwemhepo ndizvo…

Zvinozivikanwa:

Huremu 1 (m1 ₎ = 1 kg

Huremu 2 (m2 ₎ = 2 kg

F ₁ = 10 Newton

F ₂ = 1 Newton

Zvinodiwa : Hukuru uye gwara rekumhanya (a)

Solution:

Simba remagetsi:

∑ F = F ₁ – F ₂ = 10 – 1 = 9 Newtons

Kukura kwekukurumidzira:

a = ∑F / (m ₁ + m ₂ )

a = 9 / (1 + 2)

a = 9 / 3

a = 3 m/s ²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kutungamira kwaF ₁

[irp]

6.

Bhurukwa re40-kg rinokurumidziswa nesimba re200 N. Kukurumidzisa kwebhurukwa iri 3 m/ s ^2. Tsvaga hukuru hwesimba rekukweshana rinoonekwa nebhurukwa.

A. 15 N

B. 40 N

C. 43 N

D. 80 N

Zvinozivikanwa:

Huremu (m) = 40 kg

Simba (F) = 200 N

Kukurumidzisa (a) = 3 m/s ²

Zvinodiwa: Simba rekukweshana (F _g )

Solution:

Kuenzanisa kwemutemo wechipiri wekufamba kwaNewton

∑ F = ma

∑ F = simba rese, m = huremu, a = kukurumidza

Kutungamira kwesimba F kurudyi, kutungamira kwesimba rekukweshana kuruboshwe (kutungamira kwesimba rekukweshana kwakatarisana nekutungamira kwekufamba kwechinhu).

Sarudza kurudyi zvakanaka uye kuruboshwe zvakaipa.

∑ F = ma

F – F _g = ma

200 – F _g = (40)(3)

200 – F _g = 120

F _g = 200 – 120

F _g = 80 Newton

Mhinduro chaiyo ndiD.

7. Bhokisi A rine huremu hwemagiramu zana, isa pamusoro pebhokisi B rine huremu hwemagiramu mazana matatu, wobva wasundidzira bhokisi B nesimba re5 N rakamira kumusoro. Sarudza simba rakajairika rinoitwa nebhokisi B pabhokisi A.

A. 1 N

B. 1.25 N

C. 2 N

D. 3 N

Zvinozivikanwa:

Simba (F) = 5 Newton

Huremu hwebhuroko A (m _A ) = 100 magiramu = 0.1 kg

Huremu hwebhuroko B (m _B ) = 300 magiramu = 0.3 kg

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Huremu hwebhuroko A (w _A ) = (0.1 kg)(10 m/s ² ) = 1 kg m/s ² = 1 Newton

Huremu hwebhuroko B (w _B ) = (0.3 kg)(10 m/s ² ) = 3 kg m/s ² = 3 Newtons

Zvinodiwa: Simba rakajairika rinoshandiswa nebhokisi B kubhokisi A

Solution:

Kune masimba akati wandei anoshanda pamabhuroko ese ari maviri, sezvakaratidzwa mumufananidzo.

F = simba rekusundidzira (chiito pabhokisi B)

w _A = huremu hwebhokisi A (chiito pabhokisi A)

w _B = huremu hwebhokisi B (chiito pabhokisi B)

N _A = simba rakajairika rinoitwa nebhokisi B pabhokisi A (Chiito pabhokisi A)

N _A ' = simba rakajairika rinoitwa nebhokisi A pabhokisi B (Chiito pabhokisi B)

Shandisa mutemo wechipiri waNewton wekufamba pamabhuroko ese ari maviri:

∑ F = ma

F – w _A – w _B + N _A – N _A ' = (m _A + m _B ) a

N _A na N _A ' masimba ekuita-kuita ane hukuru hwakafanana asi akasiyana negwara saka anobviswa mu equation.

F – w _A – w _B = (m _A + m _B ) a

5 – 1 – 3 = (0.1 + 0.3) a

5 – 4 = (0.4) a

1 = (0.4) a

a = 1 / 0.4

a = 2.5 m/s ²

Shandisa mutemo wechipiri waNewton wekufamba pabhokisi A:

∑ F = ma

N _A – w _A = m _A a

N _A – 1 = (0.1)(2.5)

NA - ₁ = 0.25

NA = 1 + _0.25

NA = 1.25 _Newtons

Mhinduro chaiyo ndeiyi B.

8. Chinhu chine huremu hwe4 N chakatsigirwa netambo nepulley. Simba re2 N rinoshanda pabhuroko uye mugumo mumwe wetambo unodhonzwa nesimba re9 N. Sarudza mashandiro esimba remagetsi pachinhu X.

A. 3 N zvichikwira

B. 4 N pasi

C. 9 N zvichikwira

D. 9 N pasi

Zvinozivikanwa:

Kurema kweX (w _X ) = 4 Newton

Simba rekudhonza (F _x ) = 2 Newton

Simba rekumanikidzwa (F _T ) = 9 Newtons

Kudiwa: Simba remagetsi rinoita basa pachinhu

Solution:

Masimba akamira kumusoro anoshanda pachinhu

Simba rekumanikidza rine hukuru hwakafanana muzvikamu zvese zvetambo. Saka simba rekumanikidza i9 N.

Masimba akadzika akamira pasi anoshanda pachinhu

Kune masimba maviri anoshanda pachinhu X uye masimba ese ari maviri ari pasi akatwasuka, chikamu chakatarwa chehuremu w _x uye chikamu chakatarwa chesimba F _x.

Chiito chesimba reNet pane chinhu

F _T – w _X – F _x = 9 – 4 – 2 = 9 – 6 = 3

Simba remagetsi rinoshanda pachinhu X i3 Newtons, rakamira kumusoro.

Mhinduro chaiyo ndeinoti A.

9. Chinhu chinotanga chakarara panzvimbo yakatsetseka yakatwasuka. Simba re16 N rinoshanda pachinhu saka chinhu chinokurumidzira pa2 m/s ² . Kana chinhu chimwe chete chakamira panzvimbo yakatsetseka yakatwasuka saka simba rekukweshana rinoshanda pachinhu chiri 2 N, saka sarudza kukurumidza kwechinhu kana simba rimwe chete re16 N richishanda pachinhu chacho.

A. 1.75 m/s ²

B. 1.50 m/s ²

C. 1.00 m/s ²

D. 0.88 m/s ²

Zvinozivikanwa:

Simba (F) = 16 Newtons = 16 kg m/s ²

Kukurumidzisa (a) = 2 m/s ²

Simba rekukweshana (F _fric ) = 2 Newtons = 2 kg m/s ²

Kudiwa: Kukurumidza kwechinhu?

Solution:

Nzvimbo yakatsetseka yakatsetseka (hapana simba rekukweshana):

∑F = ma

F = ma

16 = (m) 2

m = 16 / 2

m = 8 kg

Huremu hwechinhu ichi hunosvika makirogiramu masere.

Nzvimbo yakatsetseka isina kurongeka (kune simba rekukweshana):

∑F = ma

F – F _fric = ma

16 – 2 = 8 a

14 = 8 a

a = 14 / 8

a = 1.75 m/s ²

Kumhanya kwechinhu ichi kuri 1.75 m/s ².

Mhinduro chaiyo ndeinoti A.

10. Tom naAndrew vanosunda chinhu pasi rakatsetseka. Tom anosunda chinhu nesimba re5.70 N. Kana huremu hwechinhu huri 2.00 kg uye kukurumidza kunoitika nechinhu chacho kuri 2.00 ms ^-2 , saka sarudza hukuru uye gwara resimba rinoitwa naTom.

A. 1.70 N uye gwara rayo rakapesana nechisimba chakaitwa naAndre.w

B. 1.70 N uye gwara rayo rakafanana nesimba rakaitwa naAndrew

C. 2.30 N uye gwara rayo rakapesana nekumanikidzwa kwakaitwa naAndrew.

D. 2.30 N uye gwara rayo rakafanana nechisimba chakaitwa naAndrew.

Zvinozivikanwa:

Simba rekusundidzira rakaitwa naAndrew (F ₁ ) = 5.70 Newton

Huremu hwechinhu (m) = 2.00 kg

Kukurumidzisa (a) = 2.00 m/s ²

Zvaidiwa: Hukuru negwara resimba rakaitwa naTom (F ₂ )?

Solution:

Shandisa mutemo wechipiri waNewton wekufamba:

∑ F = ma

F ₁ + F ₂ = ma

5.70 + F ₂ = (2)(2)

5.70 + F ₂ = 4

F ₂ = 4 – 5.70

F ₂ = – 1.7 Newton

Chiratidzo chekudzima chairatidza kuti (F ₂ ) chakapesana nechiito chekusundidzira chakaitwa naAndrew (F ₁ ).

Mhinduro chaiyo ndeinoti A.

11. Kana huremu hwebhuroko hwakafanana, chifananidzo chipi chinoratidza kumhanyisa kudiki?

mhinduro

Simba reNet A:

ΣF = 4 N + 2 N – 3 N = 6 N – 3 N = 3 Newtons, kuruboshwe

Simba reNet B:

ΣF = 2 N + 3 N – 4 N = 5 N – 4 N = 1 Newtons, kurudyi

Simba reNet C:

ΣF = 4 N + 3 N – 2 N = 7 N – 2 N = 5 Newtons, kurudyi

Simba reNet D:

ΣF = 3 N + 4 N + 2 N = 9 Newtons, kurudyi

Kuenzanisa kwemutemo wechipiri waNewton:

ΣF = ma

a = ΣF / m

a = kukurumidza, ΣF = simba rese, m = uremu

Zvichibva pafomura iri pamusoro apa, kukurumidza (a) kunoenderana zvakananga ne net force (ΣF) uye kunoenderana nehukuru (m). Kana huremu hwechinhu hwakafanana, simba rinobuda riri guru, kukurumidza kuri kukuru kana simba rinobuda riri diki, kukurumidza kuri kudiki.
Zvichibva pakuverenga kuri pamusoro apa, simba diki remambure i1 Newton saka kukurumidza ndikowo kudiki.

Mhinduro chaiyo ndeiyi B.

[irp]

12. Mamwe masimba anoshanda pachinhu chine huremu hwe20 kg, sezvakaratidzwa mumufananidzo uri pazasi.

Sarudza kukurumidza kwechinhu chacho.

Zvinozivikanwa:

Huremu hwechinhu (m) = 20 kg

Simba remambure (ΣF) = 25 N + 30 N - 15 N = 40 N

Zvinodiwa: Kukurumidza kwechinhu

Solution:

Kukurumidza kwechinhu kwakaverengerwa uchishandisa equation yemutemo wechipiri waNewton:

ΣF = ma

a = ΣF / m = 40 N / 20 kg = 2 N/kg = 2 m/s ²

[irp]

13. Ndechipi chirevo chiri pazasi chinotsanangura mutemo wechitatu waNewton?

(1) Vafambi vakasundidzira mberi apo bhazi rakabhurika kamwe kamwe

(2) Mabhuku ari pamapepa haasi kudonha kana bepa richidhonzwa nekukurumidza

(3) Pakutamba skateboard kana tsoka ikasundira pasi kumashure, skateboard inotsvedza ichienda mberi

(4) Magwa anosundirwa kumashure, zvikepe zvinofamba mberi

Solution:

(1) Mutemo wekutanga waNewton

(2) Mutemo wekutanga waNewton

(3) Mutemo wechitatu waNewton

(4) Mutemo wechitatu waNewton

[wpdm_package id='470′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri ine kumhanyisa kwakafanana pamusoro penzvimbo yakatwasuka ine simba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba mundege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri kwakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

Read more

Matambudziko akagadziriswa mumitemo yaNewton yekufamba - Simba rakajairika 

1. Chinhu chakarara patafura, chinoratidzwa mumufananidzo uri pazasi. Huremu hwechinhu i1 kg. Kukurumidza kwegiravhiti i9.8 m/s ² . Tsvaga simba rakajairika rinoitwa pachinhu chiri patafura.

Zvinozivikanwa:

Huremu (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s ²

Huremu (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Zvinodiwa: simba rakajairika (N)

Solution:

Chinhu chacho chiri patafura, saka simba guru riri pachinhu chacho izero (mutemo wekutanga kana wechipiri waNewton). Huremu hwechinhu hunoshanda hwakadzika pasi, huchienda pakati peNyika. Panofanira kunge paine rimwe simba guru riri pachinhu chacho kuti simba rinokwevera pasi rienzane . Chinhu chiri patafura, kuitira kuti tafura ishandise simba iri rekumusoro. Simba rinoitwa netafura rinowanzonzi simba rakajairika (N). Zvakajairika zvinoreva kuti zvakamira.

Sarudza nzira yekumusoro senzira yakanaka ye y. Simba rechinhu chacho ndeiri:

∑ Fy = 0

N – w = 0

N = w

N = mg

N = 9.8 Newton

Simba rakajairika pachinhu, rinoitwa netafura iri 9.8 N zvichikwira.

[irp]

2. Zvinhu zviviri zvakagara patafura. Huremu hwechinhu 1 (m ₁ ) = 1 kg, huremu hwechinhu 2 (m ₂ ) = 2 kg, kukurumidza nekuda kwegiravhiti (g) = 9.8 m/s ^2. Sarudza hukuru uye gwara resimba rakajairika rinoitwa na m ₂ pa m ₁ uye simba rakajairika rinoitwa netafura pa m ₂.

mhinduro

Zvinozivikanwa:

Huremu hwechinhu 1 (m1 ₎ = 1 kg

Huremu hwechinhu 2 (m2 ₎ = 2 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s ²

Kurema kwechinhu 1 (w ₁ ) = m ₁ g = (1)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Kurema kwechinhu 2 (w ₂ ) = m ₂ g = (2)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

Zviri kudiwa: N ₁ na N ₂

Solution:

(a) Simba rakajairika rinoitwa ne m ₂ kusvika ku m ₁ (N ₁ )

N ₁ = w ₁ = 9.8 Newton

Nzira yeN1 _iri kumusoro.

(b) Simba rakajairika rinoitwa netafura iri pa m ₂ (N ₂ )

N ₂ = w ₁ + w ₂ = 9.8 Newtons + 19.6 Newtons = 29.4 Newtons

Nzira yeN2 _iri kumusoro.

[irp]

3. Chinhu chakarara patafura. Huremu hwechinhu chacho i2 kg, kukurumidza nekuda kwegiravhiti i9.8 m/s ^2. Hukuru hwesimba F i10 Newtons. Tsvaga hukuru uye gwara resimba rakajairika rinoitwa netafura pachinhu chacho.

mhinduro

Zvinozivikanwa:

Huremu hwechinhu (m) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s ²

Huremu (w) = mg = (2 kg)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

Simba F (F) = 10 Newton

Zvinodiwa : hukuru uye gwara resimba rakajairika (N)

Solution:

kutungamira kwesimba rakajairika kuri kumusoro.

Hukuru hwesimba rakajairika:

∑ F = 0

N – F – w = 0

N = F + w

N = 10 Newtons + 20 Newtons

N = 30 Newton

[irp]

4. Chinhu chakarara patafura. Huremu hwechinhu i1 kg, kukurumidza nekuda kwegiravhiti i9,8 m/s ² , simba F ₁ i10 N uye simba F ₂ i20 N. Sarudza hukuru uye gwara resimba rakajairika rinoitwa netafura pachinhu chacho. g = 9.8 m/s ²

mhinduro

Zvinozivikanwa:

Huremu (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s ²

Huremu (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

F ₁ = 10 Newton

F ₂ = 20 Newton

Zvinodiwa: hukuru uye gwara resimba rakajairika (N)

Solution:

Kutungamira kwesimba rakajairika kuri kumusoro.

Hukuru hwesimba rakajairika:

∑ F = 0

N – F ₂ – w + F ₁ = 0

N = F ₂ + w – F ₁

N = 20 Newtons + 9.8 Newtons – 10 Newtons

N = 19.8 Newton

[irp]

5. Huremu hwechinhu (m) = 2 kg, kukurumidza kwegiravhiti (g) = 9.8 m/s ² , kona = 30 ^o . Tsvaga hukuru uye gwara resimba rakajairika rinoshandiswa pachinhu chacho.

Solution:

w ihuremu, w _x inhengo yakatwasuka yehuremu, w _y inhengo yakatwasuka yehuremu, N isimba rakajairika.

Zvinozivikanwa:

huremu (m) = 2 kg

kukurumidza kwegiravhiti (g) = 9.8 m/s ²

huremu (w) = mg = (2 kg)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

w _x = w chivi 60 ^o = (19.6 N)(0.5) √ 3 = 9.8 √ 3 Newtons

w _y = w cos 60 = (19.6 N)(0.5) = 9.8 Newtons

Zvinodiwa: simba rakajairika (N)

Solution:

∑ F = 0

N – w _y = 0

N = w _y

N = 9.8 Newton

[irp]

[wpdm_package id='467′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri ine kumhanyisa kwakafanana pamusoro penzvimbo yakatwasuka ine simba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba mundege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri kwakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

Read more

Matambudziko akagadziriswa mumitemo yaNewton yekufamba - Mass, uye huremu

1. Huremu hwehuremu hwe1 kg pamusoro penyika ndi… g = 9.8 m/s ²

Zvinozivikanwa:

Huremu (m) = 1 kg

Kumhanya kunokonzerwa negiravhiti pamusoro peNyika (g) = 9.8 m/s ²

Zvinodiwa: huremu (w)

Solution:

w = mg

m = huremu (Chikamu cheSI chehuremu ikirogiramu, kg)

g = kukurumidza kunokonzerwa negiravhiti (Chikamu cheSI che g i m/s ² )

w = uremu (Chikamu cheSI che w i kg m/s ² kana Newton)

Weight:

w = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

[irp]

2.

(a) Dhirowa simba regiravhiti (huremu) rinoita basa pachinhu kana chinhu chacho chakamira patafura, sezvakaratidzwa mumufananidzo (a).

(b) Dhirowa simba regiravhiti (huremu) nezvinhu zviri mariri zvinoshanda pachinhu chiri kutsvedza pasi chakarerekera , sezvakaratidzwa pamufananidzo (b)

mhinduro

Kurerekera kwehuremu kuri pasi kwakananga pakati peNyika.

w _x = chikamu chakatarwa chehuremu uye w _y = chikamu chakamira chehuremu

[irp]

3. Huremu hwebhokisi i1 kg uye kumhanyisa nekuda kwesimba rinokwevera pasi i9.8 m/s ^2. Tsvaga (a) huremu (b) chikamu chakatarwa uye chikamu chakamira chehuremu.

mhinduro

Huremu : w = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Chikamu chakatambanudzwa chehuremu:

w _x = w sin 30 ^o = (9,8 N)(0,5) = 4.9 Newtons

Chikamu chakamira chehuremu:

w _y = w cos 30 ^o = (9.8 N)(0.5√3) = 4.9√3 MaNewton

[irp]

[wpdm_package id='458′]

1. Huremu nehuremu
2. simba remazuva ose
3. Mutemo wechipiri wekufamba waNewton
4. Simba rekukakavadzana
5. Kufamba pamusoro penzvimbo yakatwasuka pasina simba rekukweshana
6. Kufamba kwemiviri miviri ine kumhanyisa kwakafanana pamusoro penzvimbo yakatwasuka ine simba rekukweshana
7. Kufamba mundege yakakotama pasina simba rekukweshana
8. Kufamba mundege yakakombama nesimba rekukweshana
9. Kufamba muelevator
10. Kufamba kwemiviri kwakabatana netambo nemapulley
11. Miviri miviri ine hukuru hwakafanana hwekukurumidzira
12. Kutenderedza denderedzwa rakati sandara - simba rekufamba kwedenderedzwa
13. Kutenderera curve yakakomberedzwa - simba rekufamba kwedenderedzwa
14. Kufamba kwakafanana mudenderedzwa rakatwasuka
15. Simba repakati nepakati rakafanana mukufamba kwedenderedzwa

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Matambudziko Akagadziriswa Mukufamba Kwemutsetse - Kufamba Kwekumusoro Nekudzika Mukufamba Kwemahara

1. Munhu anokanda bhora mudenga nekumhanya kwekutanga kwe20 m/s. Verenga kuti rinokwira sei. Usafuratire mvura. Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ².

mhinduro

Tinoshandisa imwe yeiyi kinematic equations pakufamba panguva yekumhanyisa nguva dzose , sezvakaratidzwa pazasi.

v _t = vo ₊ pa

s = vot ₊ ½ pa ²

v _t ² = v _o ² + 2 se

Zvinozivikanwa:

Tinosarudza nzira yekumusoro seyakanaka uye nzira yekudzikira seyakaipa.

Kumhanya kwekutanga (v _o ) = 20 m/s (kukwira kumusoro)

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

Kumhanya kwekupedzisira (v _t ) = 0 (kumhanya kwayo izero kana paine imwe nguva panzvimbo yakakwirira)

Zvinodiwa: Kureba kwakanyanya (h)

Solution:

v _t ² = v _o ² + 2 gh

0 = (20 ² ) + 2(-10) maawa

0 = 400 - 20 maawa

400 = maawa makumi maviri

h = 400 / 20 = 40 / 2 = mamita makumi maviri

[irp]

2. Munhu anokanda dombo mudenga ne 20 m/s akamira pamucheto pegomo, kuitira kuti dombo ridonhe pasi pegomo riri pasi pe 100 metres.

(a) Zvinotora nguva yakareba sei kuti bhora risvike pasi pegomo (b) Kumhanya kwekupedzisira nguva pfupi dombo risati rarova pasi. Kumhanya kunokonzerwa negiravhiti (g) = 10 m/s ² . Usafuratira kuramba mvura.

Zvinozivikanwa:

Tinosarudza nzira yekumusoro seyakanaka uye nzira yekudzikira seyakaipa.

Kureba (h) = -100 metres (kuneta nekuti nzvimbo yekupedzisira iri pasi penzvimbo yekutanga)

Kumhanya kwekutanga (v _o ) = 20 m/s (kukwira kumusoro)

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

Zvaidiwa:

(a) Nguva iri mumhepo kana nguva (t)

(b) Kumhanya kwekupedzisira (v _t )

Solution:

(a) Nguva (t)

Zvinozivikanwa:

Kureba (h) = -100 metres (kuneta nekuti nzvimbo yekupedzisira iri pasi penzvimbo yekutanga)

Kumhanya kwekutanga (vo _o ) = 20 m/s (zvakanaka zvichikwira), Kukurumidza kwegiravhiti (g) = -10 m/s ² (kudzika pasi kusina kunaka).

h = vot ₊ ½ gt ²

-100 = (20) t + ½ (-10) t ²

-100 = 20 t – 5 t ²

-5 t ² + 20 t + 100 = 0

Tinoshandisa fomura yequadratic:

(b) Kumhanya kwekupedzisira

v _t ² = v _o ² + 2 gh

v _t ² = (20 ² ) + 2 (-10)(-100)

v _t ² = 400 + 2000

v _t ² = 2400

v _t = 49 m/s

[irp]

[wpdm_package id='515′]

[wpdm_package id='517′]

1. Kureba uye kutama
2. Avhareji yekumhanya uye avhareji yekumhanya
3. Kumhanya kunogara kuripo
4. Kukurumidza nguva dzose
5. Kufamba kwemahara kwekudonha
6. Kufamba pasi mukudonha kwakasununguka
7. Kufamba kumusoro nekudzika mukudonha kwakasununguka

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Matambudziko Akagadziriswa muKufamba Kwemutsetse - Kufamba Kwepasi mukuwa kwakasununguka

1. Bhora rinokandwa pasi rakamira nekumhanya kwekutanga kwe10 m/s uye rinosvika pasi mumasekonzi maviri. Tsvaga kumhanya kwekupedzisira bhora risati rasvika pasi. Kukurumidza kwegiravhiti (g) = 10 m/s ² . Usafuratira kudzivirira mvura.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 10 m/s

Nguva yakapera (t) = masekondi maviri

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Kumhanya kwekupedzisira (v _t )

Solution:

Kukurumidza 10 m/s ² zvinoreva kuwedzera kumhanya ne10 m/s pasekondi. Mushure memasekonzi matatu, kumhanya = 30 m/s.

Kumhanya kwekupedzisira = 10 m/s + 20 m/s = 30 m/s.

Maequations eKinematic ekufambisa nekumhanya nguva dzose , sezvakaratidzwa pazasi:

v _t = vo ₊ pa ………. 1

h = vot ₊ ½ pa ² ……. 2

v _t ² = v _o ² + 2 ah ………. 3

v _t = vo _o + g t

v _t = 10 + (10)(2)

v _t = 10 + 20 = 30 m/s

Kumhanya kwekupedzisira = v _t = 30 m/s

[irp]

2. Dombo rinokandwa pasi rakamira kubva pabhiriji nekumhanya kwekutanga kwe5 m/s uye rinosvika mumvura mumasekonzi maviri. Verenga kukwirira kwebhiriji.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 5 m/s

Nguva yakapera (t) = masekondi maviri

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Zvinodiwa: kureba kwebhiriji (h)

Solution:

h = vot ₊ ½ gt ²

h = (5)(2) + ½ (10)(2) ²

h = 10 + (5)(4)

h = 10 + 20

h = mamita mashanu

[irp]

3. Bhora rinokandwa rakamira pasi nekumhanya kwekutanga kwe10 m/s kubva pakukwirira kwemamita 80. Tsvaga (a) Nguva mumhepo (b) Kumhanya kwekupedzisira bhora risati rarova pasi.

Zvinozivikanwa:

kukwirira (h) = mamita makumi masere

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvaidiwa:

(a) Nguva (t)

(b) Kumhanya kwekupedzisira (v _t )

Solution:

(a) Nguva (t)

Kumhanya kwekupedzisira:

v _t ² = v _o ² + 2 gh

v _t ² = (10) ² + 2(10)(80) = 100 + 1600 = 1700

v _t = 41 m/s

Nguva yepakati (t):

v _t = vo _o + g t

41 = 10 + (10)(t)

41 - 10 = 10 t

31 = 10 t

t = 31 / 10 = masekondi maviri

(b) Kumhanya kwekupedzisira (v _{t )}?

v _t = 41 m/s

[irp]

[wpdm_package id='513′]

[wpdm_package id='517′]

1. Kureba uye kutama
2. Avhareji yekumhanya uye avhareji yekumhanya
3. Kumhanya kunogara kuripo
4. Kukurumidza nguva dzose
5. Kufamba kwemahara kwekudonha
6. Kufamba pasi mukudonha kwakasununguka
7. Kufamba kumusoro nekudzika mukudonha kwakasununguka

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