Physics

1. Chinhu uremu = 2 kg, kukurumidza nekuda kwegiravhiti = 9.8 m/s², chiyero che kukweshana kwakasimba = 0.2, coefficient yekinetic friction = 0.1. Chinhu chiri kuzorora here kana kuti chiri kukurumidza? Kana chinhu chacho chakakurumidza, tsvaga (a) simba remagetsi (b) hukuru uye gwara rebhokisi racho kukurumidza!

mhinduro

Zvinozivikanwa:

Huremu (m) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s²

Kukweshana kwekusagadzikana (coefficient of static friction)μ_s) = 0.2

Kukweshana kwekinetic (μ_k) = 0.1

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

Chikamu chakatambanuka che uremu (w_x) = w chivi 30^o = (19.6)(0.5) = 9.8 Newton

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

Simba rakajairika (N) = w_y = 9.8√3 Newton

Simba rekukweshana kwakasimba (f)_s) = (0.2)(9.8√3) = 1.96√3 MaNewton = 3.39 MaNewton

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

Solution:

Chinhu chacho chakamira kana w_x < f_s, chinhu chiri kufamba pasi kana w_x > f_s.

w_x = 9.8 Newton na f_s = MaNewton makumi mashanu.

(a) simba remagetsi

∑F = w_x - f_k = 9.8 – 1.69 = 8.11 Newton

(b) hukuru uye gwara rekumhanya

∑F = ma

8.11 = (2) a

kuti = 4.05

Hukuru hwekukurumidzira = 4.05 m/s² uye kutungamira kwekumhanya = kudzika.

2. Huremu hwechinhu = 4 kg, kumhanyisa nekuda kwegiravhiti = 9,8 m/s². Coefficient ye kinetic friction = 0.2 uye coefficient ye static 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/s²

Muyero wekukweshana kwesimba (μ_s) = 0.4

Kukwana kwekukweshana kwekinetic (μ_k) = 0.2

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

Chikamu chakatambanudzwa chehuremu (w)_x) = w chivi 30^o = (39.2)(0.5) = 19.6 Newton

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

Simba rakajairika (N) = w_y = 19.6√3 MaNewton = 33.95 MaNewton

simba rekukweshana risingachinji (f)_s) = 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 +f_sChinhu chinotsvedza kana F > w_x +f_s.

F = 40 Newton, w_x = 19.6 Newton na f_s = MaNewton makumi mashanu.

F yakakura kupfuura w_x +f_s saka chinhu chacho chinotsvedza.

(a) Simba remagetsi

∑F = F – w_x - f_k = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Hukuru uye gwara rekumhanya

∑F = ma

6.4 = (4) a

kuti = 1.6

Kukura kwekumhanya kwemhepo ndeye 1.6 m/s² uye gwara rekumhanya riri kumusoro.

[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. Mabhokisi uremu = 2 kg, kukurumidza nekuda kwegiravhiti = 9.8 m/s²Tsvaga (a) simba rinokurumidzisa bhokisi richidzika pasi (b) hukuru hwebhokisi kukurumidza.

mhinduro

Zvinozivikanwa:

Huremu (m) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s²

uremu (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) The mambure ece iyo inokurumidzisa 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/s²

Kukura kwekumhanya kwemhepo ndeye 4.9 m/s², divi rekumhanya kwemotokari riri pasi.

2. Ndege yakatsamira zviri nyore saka hapana simba rekukweshanaHuremu hwechinhu i3 kg, kumhanyisa nekuda kwegiravhiti i9.8 m/s². Tsvaga hukuru hwesimba F kana (a) chinhu chiri pachigaro (b) chinhu chiri kufamba chichidzika nekumhanya kwakasimba kwe2 m/s² (c) chinhu chiri kufamba mudenga nekumhanya kunogara kuripo kwe2 m/s².

mhinduro

Zvinozivikanwa:

Huremu (m) = 3 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s²

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 yekufamba inoti kana chinhu chiri pachigaro, simba remagetsi rinoita chinhu 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/s²

∑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 isingachinji²

∑F = ma

F – w_x = amai

F – 14.7 = (3)(2)

F – 14.7 = 6

F = 14.7 + 6

F = 20.7 Newton

[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. Misa yebhokisi 1 i2 kg, huremu hwebhokisi 2 i4 kg, kukurumidza kwegiravhiti i10 m/s², hukuru hwesimba F i40 Newtons. Chiyero chekukakavadzana kwekinetic pakati pebhokisi 1 nepasi i0.2 uye chiyero chekukakavadzana kwekinetic pakati pebhokisi 2 nepasi i0.3. Tsvaga (a) Hukuru negwara rebhokisi kukurumidza (b) Hukuru hwesimba rinoitwa nebhokisi 1 riri pabhokisi 2 (F)₁₂) uye hukuru hwesimba rinoitwa nebhokisi 2 riri pabhokisi 1 (F₂₁).

mhinduro

Zvinozivikanwa:

Huremu hwebhokisi 1 (m₁) = 2 kg

Huremu hwebhokisi 2 (m₂) = 4 kg

Kukurumidza kwegiravhiti (g) = 10 m/s²,

Simba F = 40 Newton,

Coefficient of kukweshana kwekinetic pakati pebhokisi 1 rine pasi (μ_k1) = 0.2

Kukweshana kwekinetic pakati pebhokisi 2 nepasi (μ_k2) = 0.3

The uremu yebhokisi 1 (w₁) = m₁ g = (2)(10) = 20 Newton

Kurema kwebhokisi 2 (w)₂) = m₂ g = (4)(10) = 40 Newton

The simba remazuva ose zvakaiswa pabhokisi 1 (N)₁) = w₁ = 20 Newton

Simba rakajairika rinoitwa pabhokisi 2 (N)₂) = w₂ = 40 Newton

Simba rekukweshana kwekinetic rakaitwa pabhokisi 1 (f)_k1) = (μ_k1)(N)₁) = (0.2)(20) = 4 Newton

Simba rekukweshana kwekinetic rakaitwa pabhokisi 2 (f)_k2) = (μ_k1)(N)₂) = (0.3)(40) = 12 Newton

Solution:

(a) Hukuru uye kutungamira kwekumhanya kwebhokisi

ΣF = ma

F - f_k1 - f_k2 = (m₁ +m₂) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s²

Kutungamira kwekukurumidzisa = kutungamira kwesimba remagetsi = kurudyi.

(b) Hukuru hwesimba rinoitwa nebhokisi 1 riri pabhokisi 2 (F)₁₂) uye hukuru hwesimba rinoitwa nebhokisi 2 riri pabhokisi 1 (F₂₁).

Verenga hukuru hweF₁₂ :

ΣF = ma

F₁₂ - f_k2 = (m₂) a

F₁₂ – 12 = (4)(4)

F₁₂ - 12 = 16

F₁₂ = 16 + 12

F₁₂ = 28 Newton

F₁₂ uye F₂₁ masimba ekuita uye ekuita anoshanda pazvinhu zvakasiyana. F₁₂ uye F₂₁ ine hukuru hwakafanana uye ine divi rakasiyana.

F₁₂ = 28 Newtons = F₂₁ = MaNewton makumi mashanu.

2. Huremu hwebhokisi 1 i2 kg, huremu hwebhokisi 2 i4 kg, kukurumidza kwegiravhiti i10 m/s², simba F i40 N. Chiyero chekukakavadzana kwekinetic pakati pebhokisi 1 nepasi i0.2 uye chiyero chekukakavadzana kwekinetic pakati pebhokisi 2 nepasi i0.3. Sarudza (a) Hukuru uye kutungamira kwekukurumidzira (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/s²,

Simba F = 40 Newton,

Coefficient yekukweshana kwekinetic pakati pebhokisi 1 nepasi i0.2 (μ_k1) = 0.2

Coefficient yekukweshana kwekinetic pakati pebhokisi 2 nepasi i0.2 (μ_k2) = 0.3

Kurema kwebhokisi 1 (w)₁) = m₁ g = (2)(10) = 20 Newton

Kurema kwebhokisi 2 (w)₂) = m₂ g = (4)(10) = 40 Newton

Simba rakajairika rinoitwa pabhokisi 1 (N)₁) = w₁ = 20 Newton

Simba rakajairika rinoitwa pabhokisi 2 (N)₂) = w₂ = 40 Newton

Simba rekukweshana kwekinetic rakaitwa pabhokisi 1 (f)_k1) = (μ_k1)(N)₁) = (0.2)(20) = 4 Newton

Simba rekukweshana kwekinetic rakaitwa pabhokisi 2 (f)_k2) = (μ_k1)(N)₂) = (0.3)(40) = 12 Newton

Solution:

(a) hukuru uye gwara rekumhanya

ΣF = ma

F - f_k1 - f_k2 = (m₁ +m₂) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s²

Kukura kwekumhanya kwemhepo ndeye 4 m/s², kutungamira kwekukurumidzisa = kutungamira kwesimba remagetsi = kurudyi.

(b) Kushushikana mutambo

Masimba anoonekwa pabhokisi 1 munzira yakatwasuka ndiwo tension 1 (T)₁) kurudyi uye simba rekukweshana kwekinetic 1 (f_k1) kuruboshwe. Shandisa mutemo wechipiri waNewton:

ΣF = ma

T₁ - f_k1 = m₁ a

T₁ - 4 = (2)(4)

T₁ - 4 = 8

T₁ = 8 + 4 = 12 Newtons

Masimba ari pabhokisi rechipiri munzira yakatwasuka ndiwo tension 2 (T₂) kuruboshwe uye simba rekukweshana kwekinetic 2 (f_k2) kurudyi. Isa chikumbiro Mutemo wechipiri waNewton :

ΣF = ma

F - T₂ - f_k2 = m₂ a

40 - T₂ – 12 = (4)(4)

28 - T₂ = 16

T₂ = 28 – 16 = 12 Newton

Kusimba kwetambo inobatanidza mabhokisi = T₁ =T₂ = T = 12 Newtons.

[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 hunosvika 2 kg, huremu hwechinhu 2 hunosvika 4 kg, kukurumidza kwegiravhiti iri 10 m/s², hukuru hwesimba F ndi12 Newtons. Sarudza hukuru uye divi rekumhanya kwezvinhu.

Zvinozivikanwa:

m₁ = 2 kg, m₂ = 4 kg, g = 10 m/s², F = 12 Newton

Wanted : a

Solution:

ΣF = ma

F = (m₁ +m₂) a

12 = (2 + 4) a

12 = 6 a

a = 12 / 6

a = 2 m/s²

Kukura kwekumhanya kwemhepo ndeye 2 m/s², kutungamira kwekukurumidzisa = kutungamira kwesimba remagetsi = kurudyi.

2. Misa yechinhu 1 i2 kg, huremu hwechinhu 2 i4 kg, kukurumidza kwegiravhiti i10 m/s², hukuru hwesimba F i24 N. Sarudza hukuru negwara re kukurumidza.

Zvinozivikanwa:

m₁ = 2 kg, m₂ = 4 kg, g = 10 m/s², F = 24 Newton

Kuda: kukurumidza (a)

Solution:

ΣF = ma

F = (m₁ +m₂) a

24 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kurudyi.

[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

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Matambudziko akagadziriswa mumitemo yaNewton yekufamba - Simba rekukweshana kwesimba uye kinetic

1. Chinhu chinogara pasi rakatwasuka. Chiyero chekukakavadzana kusina kusimba i0.4 uye kukurumidza kwegiravhiti iri 9.8 m/s²Sarudza (a) Simba guru rekukweshana kwakasimba (b) Simba diki raF 

mhinduro

Zvinozivikanwa:

Misa (m) = 1 kg

Muyero wekukweshana kwechimiro chisina kusimba (μ_s) = 0.4

Kukurumidza kwegiravhiti (g) = 9.8 m/s²

uremu (w) = mg = (1 kg)(10 m/s²) = 10 kg m/s² = 10 Newton

simba remazuva ose (N) = w = 10 Newton

Zvaidiwa:

(A) Simba guru rekukweshana kwakasimba (b) Iyo simba shoma reF

Solution:

(A) Simba guru rekukweshana kwakasimba

f_s = μ_s N

f_s = (0.4)(9.8 N) = 3.92 Newton

(b) Iyo simba shoma reF

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 reF = simba guru rekusagadzikana kwesimba = 3.92 Newtons.

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 (μ_k= = 0.1

Huremu hwebhokisi (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s²

Huremu (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

Simba rakajairika (N) = w = 9.8 Newtons

Wanted : F

Solution:

Mutemo wekutanga waNewton inoti kana pasina simba rinoshanda pachinhu, chinhu chimwe nechimwe chinoramba chiri mumamiriro acho ekuzorora, kana kuti kumhanya kunogara kuripo mumutsara wakatwasuka.

Saka kana chinhu chikafamba pa kumhanya kunogara kuripo, hapafanire kuva nechisimba chemagetsi (ΣF = 0)Simba F rinoshandiswa pachinhu chiri munzira chaiyo kuitira kuti simba rekukweshana kwekinetic rishandiswe pachinhu chiri 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 Newton

3. Chinhu chinotsvedza pasi ndege yakatsamira nekumhanya kusingachinji. Tsvaga kinetic friction coefficient (μ_k). g = 9.8 m/s²

mhinduro

w = huremu, w_x = chikamu chakatarwa chehuremu, mapoinzi ari padivi penzvimbo yakatenuka, w_y = chikamu chakamira chehuremu, chakatarisana nendege yakakombama, N = simba rakajairika, f_k = simba rekukweshana kwekinetic.

Zvinozivikanwa:

Huremu (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s²

huremu (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

w_x = w chivi 30^o = (9.8 N)(0.5) = 4.9 Newton

w_y = w cos 30^o = (9.8 N)(0.5)√3 = 4.9√3 Newton

Simba rakajairika (N) = w_y = 4.9√3 Newton

Zvaidiwa: chiyero chekukweshana kwekinetic (μ_k)

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

μ_k = 0.58

[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

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Matambudziko akagadziriswa mumitemo yaNewton yekufamba - mutemo wechipiri waNewton wekufamba 

1. Chinhu chinorema 1 kg chinomhanyisa 5 m/s²Fungidzira simba remagetsi rinodiwa kuti chinhu chikurumidzire.

Zvinozivikanwa:

Huremu (m) = 1 kg

kumhanyisa (a) = 5 m/s²

Wanted simba remagetsi (∑F)

Solution:

Tinoshandisa mutemo wechipiri waNewton kuti tiwane simba remagetsi.

∑F = ma

∑F = (1 kg)(5 m/s²) = 5 kg m/s² = 5 Newton

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

Zvinozivikanwa:

Huremu (m) = 1 kg

Simba reNet (∑F) = 2 Newton

Wanted : Hukuru uye gwara rekumhanya (a)

Solution:

a = ∑F / m

a = 2 / 1

a = 2 m/s²

Kutungamira kwekukurumidzisa = kutungamira kwesimba remagetsi (∑F)

3. Huremu hwechinhu = 2 kg, F₁ = 5 Newton, F₂ = 3 Newtons. Hukuru uye gwara rekumhanya kwemhepo ndizvo…

Zvinozivikanwa:

Huremu (m) = 2 kg

F₁ = 5 Newton

F₂ = 3 Newton

Zvaidiwa: Hukuru uye gwara rekumhanya (a)

Solution:

simba remagetsi:

∑F = F₁ - F₂ = 5 – 3 = 2 Newton

Kukura kwekukurumidzira:

a = ∑F / m

a = 2 / 2

a = 1 m/s²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kutungamira kwaF₁

4. Huremu hwechinhu = 2 kg, F₁ = 10 Newton, F₂ = 1 Newtons. Hukuru uye gwara rekumhanya kwemhepo ndizvo…

Zvinozivikanwa:

Huremu (m) = 2 kg

F₂ = 1 Newton

F₁ = 10 Newton

F_1x =F₁ kusvika 60^o = (10)(0.5) = 5 Newton

Wanted : Hukuru uye gwara rekumhanya (a)

Solution:

Simba reNet:

∑F = F_1x - F₂ = 5 – 1 = 4 Newton

Kukura kwekukurumidzira:

a = ∑F / m

a = 4 / 2

a = 2 m/s²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kutungamira kwaF_1x

5. F₁ = 10 Newton, F₂ = 1 Newton, m₁ = 1 kg, m₂ = 2 kg. Hukuru uye gwara rekumhanya kwekukurumidza…

Zvinozivikanwa:

Huremu 1 (m₁) = 1 kg

Huremu 2 (m₂) = 2 kg

F₁ = 10 Newton

F₂ = 1 Newton

Wanted : Hukuru uye gwara rekumhanya (a)

Solution:

Simba remagetsi:

∑F = F₁ - F₂ = 10 – 1 = 9 Newton

Kukura kwekukurumidzira:

a = ∑F / (m₁ +m₂)

a = 9 / (1 + 2)

a = 9 / 3

a = 3 m/s²

Kutungamira kwekumhanyisa = kutungamira kwesimba remagetsi = kutungamira kwaF₁

6.

Bhokisi re40-kg rinokurumidziswa nesimba re200 N. Kukurumidzisa kwebhokisi iri 3 m/s²Sarudza hukuru hwesimba rekukweshana rinoonekwa nebhokisi.

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/s²

Kuda: Simba rekukakavadzana (F_g)

Solution:

Kuenzanisa kwe Mutemo wechipiri wekufamba waNewton

∑F = ma

∑F = simba rese, m = uremu, 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 = amai

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 kuti chii simba remazuva ose zvinoitwa 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) = magiramu mazana mashanu = 0.1 kg

Huremu hwebhuroko B (m_B) = magiramu mazana mashanu = 0.3 kg

Kukurumidza kwegiravhiti (g) = 10 m/s²

uremu yebhuroko A (w)_A) = (0.1 kg)(10 m/s²) = 1 kg m/s² = 1 Newton

Kurema kwebhuroko B (w)_B) = (0.3 kg)(10 m/s²) = 3 kg m/s² = 3 Newton

Zvaidiwa: 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 uye N_A' masimba ekuita-kuita ane hukuru hwakafanana asi akasiyana nenzira yakabviswa kubva muequation.

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/s²

Shandisa mutemo wechipiri waNewton wekufamba pabhokisi A:

∑F = ma

N_A - w_A = m_A a

N_A – 1 = (0.1)(2.5)

N_A - 1 = 0.25

N_A = 1 + 0.25

N_A = 1.25 Newton

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 Newton

Kuda: Simba reNet rinoita basa pachinhu X

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 chakatambanuka 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 chakazorora panzvimbo yakatsetseka yakatwasuka. Simba re16 N rinoshanda pachinhu ichi saka chinhu chacho chinokurumidza pa2 m/s²Kana chinhu chimwe chete chakamira panzvimbo yakamanikana 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/s²

B. 1.50 m/s²

C. 1.00 m/s²

D. 0.88 m/s²

Zvinozivikanwa:

Simba (F) = 16 Newtons = 16 kg m/s²

Kukurumidzisa (a) = 2 m/s²

Simba rekukweshana (F)_mari) = 2 Newton = 2 kg m/s²

Zvaidiwa: 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_mari = amai

16 – 2 = 8 a

14 = 8 a

a = 14 / 8

a = 1.75 m/s²

Kumhanya kwechinhu ichi 1.75 m/s².

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 kwechinhu kuri 2.00 ms^-2, wobva waona hukuru uye gwara resimba raTom.

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/s²

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

Solution:

Shandisa mutemo wechipiri waNewton wekufamba:

∑F = ma

F₁ +F₂ = amai

5.70 + F₂ = (2)(2)

5.70 + F₂ = 4

F₂ = 4 - 5.70

F₂ = – 1.7 Newton

Chiratidzo chekudzima chairatidza kuti (F)₂) zvinopesana nekuita kwekumanikidza kwakaitwa 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.

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

Kuda: Kukurumidzisa kwechinhu

Solution:

Kukurumidza kwechinhu kwakaverengerwa uchishandisa equation yemutemo wechipiri waNewton:

ΣF = ma

a = ΣF / m = 40 N / 20 kg = 2 N/kg = 2 m/s²

13. Ndechipi chirevo chiri pazasi chinotsanangura mutemo wechitatu waNewton?

(1) Vafambi vakasundidzira mberi apo bhazi rakabhurika kamwe kamwe

(2) Bmabhuku ari papepa havasi kudonha kana bepa rabviswa nekukurumidza

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

(4) Omabhoti 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

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Matambudziko akagadziriswa mumitemo yaNewton yekufamba - Simba rakajairika 

1. Chinhu chakarara patafura, chinoratidzwa mumufananidzo uri pazasi. Huremu hwechinhu chacho i1 kg. Kukurumidza kwegiravhiti iri 9.8 m/s²Sarudza simba rakajairika rinoitwa pachinhu chiri pedyo netafura.

Zvinozivikanwa:

Huremu (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s²

Huremu (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

Kuda: 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 pachinhu chacho kuti chienzane. simba rinokwevera pasiChinhu chakarara patafura, kuitira kuti tafura ishandise simba iri rekumusoro. Simba rinoitwa netafura rinowanzonzi simba rakajairika (N). Zvakajairika zvinoreva kutenderera.

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.

2. Zvinhu zviviri zvakagara patafura. Misa yechinhu 1 (m₁) = 1 kg, huremu hwechinhu 2 (m₂) = 2 kg, kumhanyisa nekuda kwegiravhiti (g) = 9.8 m/s²Sarudza hukuru uye gwara resimba rakajairika rinoitwa ne m₂ pa m₁ uye simba rakajairika rinoitwa patafura iri pa m₂.

mhinduro

Zvinozivikanwa:

Huremu hwechinhu 1 (m₁) = 1 kg

Huremu hwechinhu 2 (m₂) = 2 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s²

uremu yechinhu 1 (w₁) = m₁ g = (1)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

Kurema kwechinhu 2 (w)₂) = m₂ g = (2)(9.8 m/s²) = 19.6 kg m/s² = 19.6 Newton

Zvaidiwa: N₁ uye N₂

Solution:

(a) Simba rakajairika rinoitwa ne m₂ kusvika m₁ (N₁)

N₁ = w₁ = 9.8 Newton

Kutungamira kweN₁ iri kumusoro.

(b) Simba rakajairika rinoitwa netafura iri pa m₂ (N₂)

N₂ = w₁ +w₂ = 9.8 Newtons + 19.6 Newtons = 29.4 Newtons

Kutungamira kweN₂ iri kumusoro.

3. Chinhu chakarara patafura. Huremu hwechinhu chacho i2 kg, kumhanya nekuda kwesimba rinokwevera pasi i9.8 m/s²Hukuru hwesimba F ndi10 Newtons. Tsvaga hukuru negwara resimba rakajairika rinoitwa netafura iri pachinhu chacho.

mhinduro

Zvinozivikanwa:

Huremu hwechinhu (m) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 9.8 m/s²

Huremu (w) = mg = (2 kg)(9.8 m/s²) = 19.6 kg m/s² = 19.6 Newton

Simba F (F) = 10 Newton

Wanted : 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

4. Chinhu chakarara patafura. Huremu hwechinhu i1 kg, kumhanyisa nekuda kwesimba rinokwevera pasi i9,8 m/s², simba F₁ iri 10 N uye simba F₂ is 20 N. Tsvaga hukuru uye gwara resimba rakajairika rinoitwa netafura pane chinhu. g = 9.8 m/s²

mhinduro

Zvinozivikanwa:

Huremu (m) = 1 kg

Kukurumidza kwegiravhiti (g) = 9.8 m/s²

Huremu (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

F₁ = 10 Newton

F₂ = 20 Newton

Zvaidiwa: hukuru uye gwara resimba rakajairika (N)

Solution:

Kutungamira kwesimba rakajairika kuri kumusoro.

Hukuru hwesimba rakajairika:

∑F=0

N – F₂ – w + F₁ = 0

N = F₂ + w – F₁

N = 20 Newtons + 9.8 Newtons – 10 Newtons

N = 19.8 Newton

5. Huremu hwechinhu (m) = 2 kg, kukurumidza kwegiravhiti (g) = 9.8 m/s², kona = 30^oTsvaga hukuru uye kwakananga simba rakajairika rinoitwa pachinhu chacho.

Solution:

w huremu, w_x chikamu chakarara chehuremu, w_y chikamu chakamira chehuremu, N isimba rakajairika.

Zvinozivikanwa:

huremu (m) = 2 kg

kukurumidza kwegiravhiti (g) = 9.8 m/s²

huremu (w) = mg = (2 kg)(9.8 m/s²) = 19.6 kg m/s² = 19.6 Newton

w_x = w chivi 60^o = (19.6 N)(0.5)√3= 9.8√3 Newton

w_y = w cos 60 = (19.6 N)(0.5) = 9.8 Newton

Kuda: simba remazuva ose (N)

Solution:

∑F=0

N – w_y = 0

N = w_y

N = 9.8 Newton

[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

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Matambudziko akagadziriswa mumitemo yaNewton yekufamba - Mass, uye huremu

1. Huremu hwehuremu hwe1 kg pamusoro penyika ndi… g = 9.8 m/s²

Zvinozivikanwa:

Huremu (m) = 1 kg

The kukurumidza nekuda kwesimba rinokwevera pasi pamusoro pePasi (g) = 9.8 m/s²

Kuda: huremu (w)

Solution:

w = mg

m = huremu (Chikamu cheSI chehuremu ikirogiramu, kg)

g = kukurumidza kunokonzerwa negiravhiti (Chikamu cheSI che g ndi m/s²)

w = huremu (Chikamu cheSI che w i kg m/s² kana Newton)

Weight:

w = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

2.

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

(b) Dhirowa simba regiravhiti (huremu) uye zvikamu zvaro zvinoshanda pachinhu chiri kutsvedza pasi pechinhu ndege yakatsamira, sezvakaratidzwa pamufananidzo (b)

mhinduro

Kurerekera kwehuremu kuri pasi kwakananga pakati peNyika.

w_x = chikamu chakatarwa chehuremu uye w_y = chikamu chakamira chehuremu

3. Huremu hwebhokisi i1 kg uye kumhanya nekuda kwesimba rinokwevera pasi i9.8 m/s²Tsvaga (a) huremu (b) chikamu chakatarwa uye chikamu chakamira chehuremu.

mhinduro

Kurema: w = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

Chikamu chakatambanudzwa chehuremu:

w_x = w chivi 30^o = (9,8 N)(0,5) = 4.9 Newton

Chikamu chakamira chehuremu:

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

[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 zvakadii. Usakanganwa kuramba mvura. Kuwedzera nekuda kwegiravhiti (g) = 10 m/s².

mhinduro

Tinoshandisa imwe yeiyi kinematic equations ku kufamba nekumhanya nguva dzose, sezvakaratidzwa pasi apa.

v_t =v_o + pa

s = v_o t + ½ pa²

v_t² =v_o² + maekisero maviri

Zvinozivikanwa:

Tinosarudza nzira yekumusoro seyakanaka uye nzira yekudzikira seyakaipa.

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

Kukurumidza kwegiravhiti (g) = – 10 m/s² (kudzika pasi zvisina kunaka).

Kumhanya kwekupedzisira (v)_t) = 0 (kumhanya kwayo kuri zero panguva imwe chete panzvimbo yakakwirira)

Zvaidiwa: Kureba kwakanyanya (h)

Solution:

v_t² =v_o² + 2 gh

0 = (20)²) + 2(-10) maawa

0 = 400 - 20 maawa

400 = maawa makumi maviri

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

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/s²Usafuratira kuramba mhepo.

Zvinozivikanwa:

Tinosarudza nzira yekumusoro seyakanaka uye nzira yekudzikira seyakaipa.

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

Pakutanga velocity (v_o) = 20 m/s (yakanaka kumusoro)

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

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 (v)_o) = 20 m/s (zvakanaka zvichikwira), Kukurumidza kwegiravhiti (g) = -10 m/s² (kudzika pasi zvisina kunaka).

h = v_o t + ½ gt²

-100 = (20) t + ½ (-10) t²

-100 = 20 t – 5 t²

-5 t² + 20 t + 100 = 0

Tinoshandisa fomura yequadratic:

(b) Kumhanya kwekupedzisira

v_t² =v_o² + 2 gh

v_t² = (20²) + 2 (-10)(-100)

v_t² = 400 + 2000

v_t² = 2400

v_t = 49 m/s

[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 rakamira pasi nekumhanya kwekutanga kwe10 m/s uye rinosvika pasi mumasekonzi maviri. Tsvaga kumhanya kwekupedzisira bhora risati rasvika pasi. Kukurumidza kwegiravhiti (g) = 10 m/s²Usafuratira kuramba mhepo.

Zvinozivikanwa:

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

Nguva yakapera (t) = masekondi maviri

Kukurumidza kwegiravhiti (g) = 10 m/s²

Kudiwa: Kumhanya kwekupedzisira (v)_t)

Solution:

Kukurumidza 10 m/s² zvinoreva kuwedzera kwekumhanya ne 10 m/s sekondi imwe neimwe. Mushure memasekonzi matatu, kumhanya = 30 m/s.

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

Maequations eKinematic e kufamba nekumhanya nguva dzose, sezvakaratidzwa pazasi:

v_t =v_o + pa ………. 1

h = v_o t + ½ pa² …………. 2

v_t² =v_o² + 2 ah …………. 3

v_t =v_o + gt

v_t = 10 + (10)(2)

v_t = 10 + 20 = 30 m/s

Kumhanya kwekupedzisira = v_t = 30 m/s

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/s²

Zvaidiwa: kukwirira kwebhiriji (h)

Solution:

h = v_o t + ½ gt²

h = (5)(2) + ½ (10)(2)²

h = 10 + (5)(4)

h = 10 + 20

h = mamita mashanu

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/s²

Zvaidiwa:

(a) Nguva (t)

(b) Kumhanya kwekupedzisira (v)_t)

Solution:

(a) Nguva (t)

Kumhanya kwekupedzisira:

v_t² =v_o² + 2 gh

v_t² = (10)² + 2(10)(80) = 100 + 1600 = 1700

v_t = 41 m/s

Nguva yepakati (t):

v_t =v_o + gt

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

[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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