Physics

1. Kulemera kwa chinthu = 2 kg, kuthamanga chifukwa cha mphamvu yokoka = 9.8 m/s ² , coefficient ya static friction = 0.2, coefficient ya kinetic friction = 0.1. Kodi chinthucho chili pamalo opumulira kapena chikufulumira? Ngati chinthucho chikufulumira, pezani (a) mphamvu yeniyeni (b) kukula ndi malangizo a kuthamanga kwa bokosilo!

Anakonza

Zodziwika:

Kulemera (m) = 2 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 9.8 m/s ²

Koyefifiti ya kukangana kosasinthasintha ( μs ₎ = 0.2

Koyefifiti ya kukangana kwa kinetic ( μk ₎ = 0.1

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

Gawo lopingasa la kulemera (w _x ) = w sin 30 ^o = (19.6)(0.5) = 9.8 Newtons

Gawo loyima la kulemera kwa th (w _y ) = w cos 30 ^o = (19.6)(0.5√3) = 9.8√3 Ma Newton

Mphamvu yachibadwa (N) = w _y = 9.8√3 Newtons

Mphamvu ya kukangana kosasinthasintha (fs ₎ = (0.2)(9.8√3) = 1.96√3 Newton = 3.39 Newton

Mphamvu ya kukangana kwa kinetic (f _k ) = (0.1)(9.8√3) = 0.98√3 Newton = 1.69 Newton

Yankho:

Chinthucho chili pamalo opumulira ngati w _x < fs _, chinthucho chikuyenda pansi ngati w _x > _fs.

w _x = 9.8 Newtons ndi fs ₌ 3.39 Newtons.

(a) mphamvu ya ukonde

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

(b) kukula ndi njira ya kuthamanga kwa liwiro

∑ F = ma

8.11 = (2) a

= 4.05

Kukula kwa kuthamanga = 4.05 m/s ² ndipo njira yopititsira patsogolo = pansi.

[irp]

2. Kulemera kwa chinthu = 4 kg, kuthamanga chifukwa cha mphamvu yokoka = 9,8 m/s ² . Koefficient ya kinetic friction = 0.2 ndi coefficient ya static friction = 0.4. Kukula kwa mphamvu F = 40 Newtons. Chinthucho chili pamalo opumulira kapena chikutsika pansi? Ngati chinthucho chikutsika pansi, pezani (a) mphamvu yeniyeni (b) kukula ndi komwe chikuyenda!

Anakonza

Zodziwika:

Kulemera (m) = 4 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 9.8 m/s ²

Coefficient ya static friction ( μs ₎ = 0.4

Chiŵerengero cha kupsinjika kwa kinetic ( μk ₎ = 0.2

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

Gawo lopingasa la kulemera (w _x ) = w sin 30 ^o = (39.2)(0.5) = 19.6 Newtons

Gawo loyima la kulemera (w _y ) = w cos 30 ^o = (392)(0..5√3) = 19.6√3 Ma Newton

Mphamvu yachibadwa (N) = w _y = 19.6√3 Newtons = 33.95 Newtons

mphamvu yokangana yosasinthasintha (fs ₎ = μs _N = (0,4)(33.95) = 13.58 Newtons

Mphamvu ya kukangana kwa kinetic (f _k ) = μ _k N = (0.2)(33.95) = 6.79 Newtons

F = 40 Newton

Yankho:

Chinthucho chimatsika pansi ngati F < w _x + fs _. Chinthucho chimatsika mmwamba ngati F > w _x + _fs.

F = 40 Newtons, w _x = 19.6 Newtons ndi f _s = 13.58 Newtons.

F ndi wamkulu kuposa w _x + f _s kotero chinthucho chimatsetsereka mmwamba.

(a) Mphamvu ya ukonde

∑ F = F – w _x – f _k = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Kukula ndi njira ya kuthamanga kwa liwiro

∑ F = ma

6.4 = (4) a

= 1.6

Kukula kwa kuthamanga kwa liwiro ndi 1.6 m/s ² ndipo njira yothamangira liwiro ndi yokwera mmwamba.

[irp]

[wpdm_package id='481′]

1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamwamba mopingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri omwe ali ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi kumalumikizidwa ndi zingwe ndi ma pulleys
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

1. Kulemera kwa bokosi = 2 kg, kuthamanga chifukwa cha mphamvu yokoka = 9.8 m/s ^{2 . Pezani (a) mphamvu yeniyeni yomwe imafulumizitsa bokosilo pansi (b) kukula kwa} kuthamanga kwa bokosilo.

Anakonza

Zodziwika:

Kulemera (m) = 2 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 9.8 m/s ²

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

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

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

Yankho:

(a) Ukonde wa ce womwe umafulumizitsa bokosilo

Malo otsetsereka ndi osalala, kotero palibe mphamvu yokangana. Mphamvu yokhayo yomwe imagwira ntchito pa chinthucho ndi w _x.

∑ F = w _x

∑ F = 9.8 Newton

(b) kukula kwa kuthamanga

∑ F = ma

9.8 = (2) a

a = 9.8 / 2

a = 4.9 m/s ²

Kukula kwa kuthamanga ndi 4.9 m/s ² , komwe kuthamanga kumalowera pansi.

[irp]

2. Malo otsetsereka ndi osalala kotero palibe mphamvu yokangana . Kulemera kwa chinthu ndi 3 kg, kuthamanga chifukwa cha mphamvu yokoka ndi 9.8 m/s ² . Dziwani kukula kwa mphamvu F ngati (a) chinthucho chili pamalo opumulira (b) chinthucho chikuyenda pansi ndi kuthamanga kosalekeza kwa 2 m/s ² (c) chinthucho chikuyenda mmwamba ndi kuthamanga kosalekeza kwa 2 m/s ².

Anakonza

Zodziwika:

Kulemera (m) = 3 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 9.8 m/s ²

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

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

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

Yankho:

(a) Kukula kwa mphamvu F ngati chinthu chili pamalo pake

Lamulo loyamba la Newton loyendetsa zinthu limati ngati chinthu chili pamalo opumulira, mphamvu ya neti imagwira ntchito pa chinthucho ndi zero.

∑ F = 0

F – w _x = 0

F = w _x

F = 14.7 Newton

(b) Kukula kwa mphamvu F ngati chinthu chikuyenda pansi 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) Kukula kwa mphamvu F ngati chinthu chikuyenda mmwamba pa 2 m/s yokhazikika 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. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamwamba mopingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri omwe ali ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi kumalumikizidwa ndi zingwe ndi ma pulleys
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

1. Kulemera kwa bokosi 1 ndi 2 kg, kulemera kwa bokosi 2 ndi 4 kg, kufulumira kwa mphamvu yokoka ndi 10 m/s ² , kukula kwa mphamvu F ndi 40 Newton. Kuchuluka kwa kugwedezeka kwa kinetic pakati pa bokosi 1 ndi pansi ndi 0.2 ndipo kukwanira kwa kugwedezeka kwa kinetic pakati pa bokosi 2 ndi pansi ndi 0.3. Pezani (a) Kukula ndi malangizo a kufulumira kwa bokosi (b) Kukula kwa mphamvu yogwiritsidwa ntchito ndi bokosi 1 pa bokosi 2 (F ₁₂ ) ndi kukula kwa mphamvu yogwiritsidwa ntchito ndi bokosi 2 pa bokosi 1 (F ₂₁ ).

Anakonza

Zodziwika:

Kulemera kwa bokosi 1 (m1 ₎ = 2 kg

Kulemera kwa bokosi 2 (m2 ₎ = 4 kg

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ² ,

Mphamvu F = 40 Newton,

Koefficient ya kinetic friction pakati pa bokosi 1 ndi pansi ( μ _k1 ) = 0.2

Koefficient ya kinetic friction pakati pa bokosi 2 ndi pansi ( μ _k2 ) = 0.3

Kulemera kwa bokosi 1 (w ₁ ) = m ₁ g = (2)(10) = 20 Newtons

Kulemera kwa bokosi 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

Mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa bokosi 1 (N ₁ ) = w ₁ = 20 Newtons

Mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa bokosi 2 (N ₂ ) = w ₂ = 40 Newtons

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Yankho:

(a) Kukula ndi momwe bokosilo limayendera mofulumira

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

Kuwongolera kwa kuthamanga = njira ya mphamvu ya ukonde = njira yakumanja.

(b) Kukula kwa mphamvu yogwiritsidwa ntchito ndi bokosi 1 pa bokosi 2 (F ₁₂ ) ndi kukula kwa mphamvu yogwiritsidwa ntchito ndi bokosi 2 pa bokosi 1 (F ₂₁ ).

Werengerani kukula kwa F ₁₂ :

ΣF = ma

F ₁₂ – f _k2 = (m ₂ ) a

F ₁₂ – 12 = (4)(4)

F ₁₂ – 12 = 16

F ₁₂ = 16 + 12

F12 = 28 _Newtons

F ₁₂ ndi F ₂₁ ndi mphamvu zochita ndi zochita zomwe zimagwira ntchito pazinthu zosiyanasiyana. F ₁₂ ndi F ₂₁ ali ndi kukula kofanana komanso mbali yosiyana.

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

[irp]

2. Kulemera kwa bokosi 1 ndi 2 kg, kulemera kwa bokosi 2 ndi 4 kg, kufulumira kwa mphamvu yokoka ndi 10 m/s ² , mphamvu F ndi 40 N. Kuchuluka kwa kugwedezeka kwa kinetic pakati pa bokosi 1 ndi pansi ndi 0.2 ndipo kukwanira kwa kugwedezeka kwa kinetic pakati pa bokosi 2 ndi pansi ndi 0.3. Dziwani (a) Kukula ndi komwe kukuyenda mofulumira (b) Kukanika kwa chingwe cholumikiza mabokosi. Musanyalanyaze kulemera kwa chingwe.

Zodziwika:

Kulemera kwa bokosi 1 (m1 ₎ = 2 kg

Kulemera kwa bokosi 2 (m2 ₎ = 4 kg

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ² ,

Mphamvu F = 40 Newton,

Koyefifiti ya kukangana kwa kinetic pakati pa bokosi 1 ndi pansi ndi 0.2 ( μ _k1 ) = 0.2

Koyefifiti ya kukangana kwa kinetic pakati pa bokosi 2 ndi pansi ndi 0.2 ( μ _k2 ) = 0.3

Kulemera kwa bokosi 1 (w ₁ ) = m ₁ g = (2)(10) = 20 Newtons

Kulemera kwa bokosi 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

Mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa bokosi 1 (N ₁ ) = w ₁ = 20 Newtons

Mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa bokosi 2 (N ₂ ) = w ₂ = 40 Newtons

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Yankho:

(a) kukula ndi njira ya kuthamanga kwa liwiro

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

Kukula kwa kuthamanga ndi 4 m/s ² , njira ya kuthamanga = njira ya mphamvu ya ukonde = njira yakumanja.

(b) Kupsinjika kwa chingwe

Mphamvu zomwe zimachitika pa bokosi 1 mopingasa ndi mphamvu ya 1 (T ₁ ) kumanja ndi mphamvu ya 1 (f _k1 ) kumanzere. Gwiritsani ntchito lamulo lachiwiri la Newton:

ΣF = ma

T ₁ – f _k1 = m ₁ a

T ₁ – 4 = (2)(4)

T ₁ – 4 = 8

T ₁ = 8 + 4 = 12 Newton

Mphamvu zomwe zimagwira ntchito pa bokosi 2 molunjika ndi mphamvu ya 2 (T ₂ ) kumanzere ndi mphamvu ya friction ya kinetic 2 (f _k2 ) kumanja. Gwiritsani ntchito lamulo lachiwiri la Newton :

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

Kukanika kwa chingwe cholumikiza mabokosi = T ₁ = T ₂ = T = 12 Newtons.

[irp]

[wpdm_package id='493′]

1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamalo opingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri ndi kuthamanga komweko pamalo opingasa ozungulira ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi olumikizidwa ndi zingwe ndi ma pulley
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

1. Kulemera kwa chinthu 1 ndi 2 kg, kulemera kwa chinthu 2 ndi 4 kg, kufulumira kwa mphamvu yokoka ndi 10 m/s ² , kukula kwa mphamvu F ndi 12 Newtons. Dziwani kukula ndi komwe zinthuzo zikuthamangira.

Zodziwika:

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

Ankafuna : a

Yankho:

Σ F = ma

F = (m ₁ + m ₂ ) a

12 = (2 + 4) a

12 = 6 a

a = 12 / 6

a = 2 m/s ²

Kukula kwa kuthamanga ndi 2 m/s ² , njira ya kuthamanga = njira ya mphamvu ya ukonde = njira yakumanja.

[irp]

2. Kulemera kwa chinthu 1 ndi 2 kg, kulemera kwa chinthu 2 ndi 4 kg, kufulumira kwa mphamvu yokoka ndi 10 m/s ² , kukula kwa mphamvu F ndi 24 N. Dziwani kukula ndi komwe kumayambira kufulumira.

Zodziwika:

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

Kufunidwa: kufulumizitsa (a)

Yankho:

Σ F = ma

F = (m ₁ + m ₂ ) a

24 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s ²

Kulunjika kwa kufulumizitsa = njira ya mphamvu ya ukonde = njira ya kumanja.

[irp]

[wpdm_package id='474′]

1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamwamba mopingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri omwe ali ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi kumalumikizidwa ndi zingwe ndi ma pulleys
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

Mavuto omwe athetsedwera mu malamulo a Newton a kayendedwe - Mphamvu ya kukangana kwa static ndi kinetic

1. Chinthu chimakhala pansi mopingasa. Chiŵerengero cha kukangana kosasinthasintha ndi 0.4 ndipo kufulumira kwa mphamvu yokoka ndi 9.8 m/s ^2. Dziwani (a) Mphamvu yayikulu ya kukangana kosasinthasintha (b) Mphamvu yocheperako ya F

Anakonza

Zodziwika:

Kulemera (m) = 1 kg

Chiwerengero cha kukangana kosasinthasintha (μ _s ) = 0.4

Kuthamanga kwa mphamvu yokoka (g) = 9.8 m/s ²

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

Mphamvu yachibadwa (N) = w = 10 Newtons

Akufuna:

(a) Mphamvu yayikulu ya kukangana kosasinthasintha (b) Mphamvu yochepa ya F

Yankho:

(a) Mphamvu yayikulu kwambiri ya kukangana kosasinthasintha

f _s = μ _s N

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

(b) Mphamvu yochepa ya F

Ngati mphamvu ya F yagwiritsidwa ntchito pa chinthucho koma chinthucho sichinasunthidwe, ndiye kuti payenera kukhala mphamvu ya static friction yomwe ikugwiritsidwa ntchito ndi pansi pa chinthucho. Ngati chinthucho chiyamba kusuntha, mphamvu ya static friction yapitirira, payenera kukhala mphamvu ya kinetic friction. Chinthucho chimayamba kusuntha ngati F ndi yayikulu kuposa mphamvu yayikulu ya static friction.

Kotero mphamvu yocheperako ya F = mphamvu yayikulu ya kukangana kosasinthasintha = 3.92 Newtons.

[irp]

2. Bokosi la 1 kg limakokedwa pamalo opingasa ndi mphamvu F, kotero bokosilo likuyenda pa liwiro losasintha. Ngati kinetic friction coefficient ndi 0.1, dziwani kukula kwa mphamvu F! (g = 9.8 m/s ² )

Zodziwika:

_{Chokwanira cha kinetic} friction ( μk ) = 0.1

Kulemera kwa bokosi (m) = 1 kg

Kuthamanga kwa mphamvu yokoka (g) = 9.8 m/s ²

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

Mphamvu yachibadwa (N) = w = 9.8 Newtons

Akufuna : F

Yankho:

Lamulo loyamba la Newton limati ngati palibe mphamvu yogwira ntchito pa chinthu, chinthu chilichonse chimapitirizabe kukhala chete, kapena liwiro losalekeza pamzere wowongoka.

Kotero ngati chinthucho chikuyenda pa liwiro losasintha , sipayenera kukhala mphamvu yeniyeni ( Σ F = 0) . Mphamvu F imagwiritsidwa ntchito pa chinthucho m'njira yoyenera kotero kuti mphamvu ya kinetic friction igwiritsidwe ntchito pa chinthucho kumanzere.

∑ F = 0

F – f _k = 0

F = f _k

Mphamvu ya kupsinjika kwa kinetic:

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

chinthu chimayenda ndi liwiro losasintha, F = f _k = 0.98 Newtons

[irp]

3. Chinthu chimatsetsereka pansi pa mtunda wopendekeka ndi liwiro losasintha. Dziwani kuchuluka kwa kinetic friction coefficient ( _μk ) . g = 9.8 m/s ²

Anakonza

w = kulemera, w _x = gawo lopingasa la kulemera, mfundo motsatira kupendekera, w _y = gawo loyima la kulemera, lolunjika ku ndege yopendekera, N = mphamvu yachibadwa, f _k = mphamvu ya kukangana kwa kinetic.

Zodziwika:

Kulemera (m) = 1 kg

Kuthamanga kwa mphamvu yokoka (g) = 9.8 m/s ²

kulemera (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

Mphamvu yachibadwa (N) = w _y = 4.9 √ 3 Newtons

Kufunidwa : kinetic friction coefficient ( μk ₎

Yankho:

Chinthucho chimatsika pansi pa mtunda wopendekeka ndi liwiro losalekeza kotero kuti mphamvu yonse = 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

[irp]

[wpdm_package id='472′]

1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamalo opingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri ndi kuthamanga komweko pamalo opingasa ozungulira ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi olumikizidwa ndi zingwe ndi ma pulley
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

Mavuto omwe adathetsedwa mu malamulo a Newton okhudza kuyenda - lamulo lachiwiri la Newton lokhudza kuyenda 

1. Chinthu cholemera makilogalamu 1 chomwe chimathamanga pa liwiro losasintha la 5 m/s ^2. Yerekezerani mphamvu yonse yomwe ikufunika kuti chinthucho chifulumizitse.

Zodziwika:

Kulemera (m) = 1 kg

Kuthamanga (a) = 5 m/s ²

Kufunidwa : mphamvu ya neti (∑F)

Yankho:

Timagwiritsa ntchito lamulo lachiwiri la Newton kuti tipeze mphamvu ya ukonde.

∑ F = ma

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

[irp]

2. Kulemera kwa chinthu = 1 kg, mphamvu yeniyeni ∑F = 2 Newtons. Dziwani kukula ndi komwe chinthucho chikuthamangira….

Zodziwika:

Kulemera (m) = 1 kg

Mphamvu ya neti (∑F) = 2 Newton

Kufunidwa : Kukula ndi njira ya kuthamanga (a)

Yankho:

a = ∑F / m

a = 2 / 1

a = 2 m/s ²

Kuwongolera kwa kufulumizitsa = kulunjika kwa mphamvu ya ukonde (∑F)

[irp]

3. Kulemera kwa chinthucho = 2 kg, F ₁ = 5 Newtons, F ₂ = 3 Newton. Kukula ndi njira ya kuthamanga kwa mphamvu ndi…

Zodziwika:

Kulemera (m) = 2 kg

F1 = 5 _Newtons

F2 = 3 _Newtons

Kufunidwa: Kukula ndi njira ya kuthamanga (a)

Yankho:

mphamvu ya ukonde:

∑ F = F ₁ – F ₂ = 5 – 3 = 2 Newtons

Kukula kwa kuthamanga kwa magazi:

a = ∑F / m

a = 2 / 2

a = 1 m/s ²

Kuwongolera kwa kufulumira = njira ya mphamvu ya ukonde = njira ya F ₁

[irp]

4. Kulemera kwa chinthucho = 2 kg, F ₁ = 10 Newtons, F ₂ = 1 Newton. Kukula ndi njira ya kuthamanga kwa mphamvu ndi…

Zodziwika:

Kulemera (m) = 2 kg

F2 = 1 _Newtons

F1 = 10 _Newtons

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

Kufunidwa : Kukula ndi njira ya kuthamanga (a)

Yankho:

Mphamvu ya intaneti:

∑ F = F _1x – F ₂ = 5 – 1 = 4 Newtons

Kukula kwa kuthamanga kwa magazi:

a = ∑F / m

a = 4 / 2

a = 2 m/s ²

Kuwongolera kwa kufulumira = njira ya mphamvu ya ukonde = njira ya F _1x

[irp]

5. F ₁ = 10 Newtons, F ₂ = 1 Newton, m ₁ = 1 kg, m ₂ = 2 kg. Kukula ndi njira ya kuthamanga ndi…

Zodziwika:

Kulemera 1 (m1 ₎ = 1 kg

Kulemera 2 (m2 ₎ = 2 kg

F1 = 10 _Newtons

F2 = 1 _Newtons

Kufunidwa : Kukula ndi njira ya kuthamanga (a)

Yankho:

Mphamvu ya ukonde:

∑ F = F ₁ – F ₂ = 10 – 1 = 9 Newtons

Kukula kwa kuthamanga kwa magazi:

a = ∑F / (m ₁ + m ₂ )

a = 9 / (1 + 2)

a = 9 / 3

a = 3 m/s ²

Kuwongolera kwa kufulumizitsa = njira ya mphamvu ya ukonde = njira ya F ₁

[irp]

6.

Chipolopolo cha makilogalamu 40 chomwe chimafulumizitsidwa ndi mphamvu ya 200 N. Kuthamanga kwa chipolopolocho ndi 3 m/ s ^2. Dziwani kukula kwa mphamvu yokangana yomwe imapezeka ndi chipolopolocho.

A. 15 N

B. 40 N

C. 43 N

D. 80 N

Zodziwika:

Kulemera (m) = 40 kg

Mphamvu (F) = 200 N

Kuthamanga (a) = 3 m/s ²

Kufunidwa: Mphamvu yokangana (F _g )

Yankho:

Kuyerekeza kwa lamulo lachiwiri la kuyenda kwa Newton

∑ F = ma

∑ F = mphamvu yeniyeni, m = kulemera, a = kufulumira

Kulunjika kwa mphamvu F kumanja, komwe mphamvu yokangana ikupita kumanzere (kulunjika kwa mphamvu yokangana kuli kosiyana ndi komwe chinthu chikuyenda).

Sankhani kumanja ngati zabwino ndipo kumanzere ngati zoipa.

∑ F = ma

F – F _g = ma

200 – F _g = (40)(3)

200 – F _g = 120

F _g = 200 – 120

F _g = 80 Newton

Yankho lolondola ndi D.

7. Block A yokhala ndi kulemera kwa magalamu 100 ikani pamwamba pa block B yokhala ndi kulemera kwa magalamu 300, kenako block B imakankhidwira ndi mphamvu ya 5 N molunjika mmwamba. Dziwani mphamvu yachibadwa yomwe block B imagwiritsa ntchito pa block A.

A. 1 N

B. 1.25 N

C. 2 N

D. 3 N

Zodziwika:

Mphamvu (F) = 5 Newton

Kulemera kwa chipika A (m _A ) = magalamu 100 = 0.1 kg

Kulemera kwa chipika B (m _B ) = magalamu 300 = 0.3 kg

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Kulemera kwa chipika A (w _A ) = (0.1 kg)(10 m/s ² ) = 1 kg m/s ² = 1 Newton

Kulemera kwa chipika B (w _B ) = (0.3 kg)(10 m/s ² ) = 3 kg m/s ² = 3 Newtons

Kufunidwa: Mphamvu yachibadwa yomwe imagwiritsidwa ntchito ndi chipika B kuti chipika A

Yankho:

Pali mphamvu zingapo zomwe zimagwira ntchito pa mabuloko onse awiri, monga momwe zasonyezedwera pachithunzichi.

F = mphamvu yokankhira (chitani pa chipika B)

w _A = kulemera kwa chipika A (kuchita pa chipika A)

w _B = kulemera kwa chipika B (chitani pa chipika B)

N _A = mphamvu yachibadwa yogwiritsidwa ntchito ndi chipika B pa chipika A (Chitani pa chipika A)

N _A ' = mphamvu yachibadwa yogwiritsidwa ntchito ndi chipika A pa chipika B (Chitani pa chipika B)

Gwiritsani ntchito lamulo lachiwiri la Newton la kayendedwe pa mabuloko onse awiri:

∑ F = ma

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

N _A ndi N _A ' ndi mphamvu zochitira zinthu zomwe zili ndi kukula kofanana koma zosiyana ndi momwe zilili choncho zimachotsedwa 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

Gwiritsani ntchito lamulo lachiwiri la Newton la kayendedwe pa block 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

Yankho lolondola ndi B.

8. Chinthu cholemera 4 N chothandizidwa ndi chingwe ndi pulley. Mphamvu ya 2 N imagwira ntchito pa chipika ndi kumapeto kwa chingwe chokokedwa ndi mphamvu ya 9 N. Dziwani mphamvu ya neti pa chinthu X.

A. 3 N mmwamba

B. 4 N pansi

C. 9 N mmwamba

D. 9 N pansi

Zodziwika:

Kulemera kwa X (w _X ) = 4 Newton

Mphamvu yokoka (F _x ) = 2 Newton

Mphamvu ya kukankhidwa (F _T ) = 9 Newtons

Akufuna: Mphamvu ya intaneti imagwira ntchito pa chinthucho

Yankho:

Mphamvu zokwera molunjika zomwe zimagwira ntchito pa chinthucho

Mphamvu yokakamiza ili ndi kukula kofanana m'mbali zonse za chingwe. Chifukwa chake mphamvu yokakamiza ndi 9 N.

Mphamvu zotsika molunjika zomwe zimagwira ntchito pa chinthucho

Pali mphamvu ziwiri zomwe zimagwira ntchito pa chinthu X ndipo mphamvu zonse ziwiri zimakhala pansi molunjika, gawo lopingasa la kulemera w _x ndi gawo lopingasa la mphamvu F _x.

Mphamvu ya ukonde pa chinthucho

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

Mphamvu ya neti yomwe imagwira ntchito pa chinthu X ndi ma Newton atatu, molunjika mmwamba.

Yankho lolondola ndi A.

9. Chinthu chomwe poyamba chili pamalo osalala opingasa. Mphamvu ya 16 N imagwira ntchito pa chinthucho kotero kuti chinthucho chizithamanga pa 2 m/s ² . Ngati chinthu chomwecho chomwe chili pamalo opingasa opingasa kotero kuti mphamvu yokangana imagwira ntchito pa chinthucho ndi 2 N, ndiye dziwani kuthamanga kwa chinthucho ngati mphamvu yomweyo ya 16 N ikugwira ntchito pa chinthucho.

A. 1.75 m/s ²

B. 1.50 m/s ²

C. 1.00 m/s ²

D. 0.88 m/s ²

Zodziwika:

Mphamvu (F) = 16 Newtons = 16 kg m/s ²

Kuthamanga (a) = 2 m/s ²

Mphamvu yokangana (F _fric ) = 2 Newtons = 2 kg m/s ²

Kufunidwa: Kuthamanga kwa chinthu?

Yankho:

Malo osalala opingasa (opanda mphamvu yokangana):

∑F = ma

F = ma

16 = (m) 2

m = 16 / 2

m = 8 makilogalamu

Kulemera kwa chinthucho ndi makilogalamu 8.

Malo opingasa ozungulira (pali mphamvu yokangana):

∑F = ma

F – F _fric = ma

16 – 2 = 8 a

14 = 8 a

a = 14 / 8

a = 1.75 m/s ²

Kuthamanga kwa chinthucho ndi 1.75 m/s ².

Yankho lolondola ndi A.

10. Tom ndi Andrew akukankhira chinthu pansi posalala. Tom akukankhira chinthucho ndi mphamvu ya 5.70 N. Ngati kulemera kwa chinthucho ndi 2.00 kg ndipo kuthamanga kwa chinthucho ndi 2.00 ms ^-2 , ndiye kuti mudziwe kukula ndi komwe mphamvuyo imagwira ntchito.

A. 1.70 N ndipo malangizo ake ndi osiyana ndi mphamvu zomwe Andre.w adachita.

B. 1.70 N ndipo malangizo ake ndi ofanana ndi mphamvu yomwe Andrew adachita

C. 2.30 N ndipo malangizo ake ndi osiyana ndi mphamvu zomwe Andrew adachita.

D. 2.30 N ndi malangizo ake ndi ofanana ndi mphamvu yomwe Andrew adachita.

Zodziwika:

Mphamvu yokakamiza yochitidwa ndi Andrew (F ₁ ) = 5.70 Newton

Kulemera kwa chinthu (m) = 2.00 kg

Kuthamanga (a) = 2.00 m/s ²

Akufuna: Kukula ndi malangizo a mphamvu zomwe Tom adachita (F ₂ )?

Yankho:

Gwiritsani ntchito lamulo lachiwiri la Newton la kayendedwe:

∑ 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

Chizindikiro chochotsera chikusonyeza kuti (F ₂ ) ndi chotsutsana ndi zochita za Andrew zokakamiza (F ₁ ).

Yankho lolondola ndi A.

11. Ngati kulemera kwa chipikacho kuli kofanana, ndi chithunzi chiti chomwe chikuwonetsa kufulumira kochepa kwambiri?

Anakonza

Mphamvu ya intaneti A:

ΣF = 4 N + 2 N – 3 N = 6 N – 3 N = 3 Newton, kumanzere

Mphamvu ya Net B:

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

Mphamvu ya Net C:

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

Mphamvu ya Net D:

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

Kuyerekeza kwa lamulo lachiwiri la Newton:

ΣF = ma

a = ΣF / m

a = kufulumizitsa, ΣF = mphamvu yonse, m = kulemera

Kutengera ndi njira yomwe ili pamwambapa, kufulumizitsa (a) kumafanana mwachindunji ndi mphamvu yonse (ΣF) ndipo kumafanana motsatizana ndi kulemera (m). Ngati kulemera kwa chinthu kuli kofanana, mphamvu yochokerapo ikakhala yayikulu, kufulumizitsa kukakhala kwakukulu kapena mphamvu yochokerapo ikakhala yaying'ono, kufulumizitsa kukakhala kochepa.
Kutengera ndi kuwerengera pamwambapa, mphamvu yaying'ono kwambiri ya neti ndi 1 Newton kotero kufulumira nakonso ndi kochepa kwambiri.

Yankho lolondola ndi B.

[irp]

12. Mphamvu zina zimagwira ntchito pa chinthu cholemera makilogalamu 20, monga momwe chithunzi chili pansipa chikusonyezera.

Dziwani kuthamanga kwa chinthucho.

Zodziwika:

Kulemera kwa chinthu (m) = 20 kg

Mphamvu zonse (ΣF) = 25 N + 30 N – 15 N = 40 N

Kufunidwa: Kufulumizitsa chinthu

Yankho:

Kuthamanga kwa chinthu kumawerengedwa pogwiritsa ntchito equation ya lamulo lachiwiri la Newton:

ΣF = ma

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

[irp]

13. Ndi mawu ati omwe ali pansipa omwe akufotokoza lamulo lachitatu la Newton?

(1) Apaulendo anakankhira patsogolo pamene basi inagwa mwadzidzidzi

(2) Mabuku omwe ali papepala sagwa pepala likakokedwa mwachangu

(3) Mukasewera skateboard, phazi likakankhira pansi kumbuyo, skateboard imasunthira patsogolo.

(4) Maboti akakankhidwira kumbuyo, amapita patsogolo

Yankho:

(1) Lamulo loyamba la Newton

(2) Lamulo loyamba la Newton

(3) Lamulo lachitatu la Newton

(4) Lamulo lachitatu la Newton

[wpdm_package id='470′]

1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamwamba mopingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri omwe ali ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi kumalumikizidwa ndi zingwe ndi ma pulleys
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

Mavuto omwe adathetsedwa mu malamulo a Newton oyendetsera zinthu - Mphamvu yachibadwa 

1. Chinthu chomwe chili patebulo, chomwe chawonetsedwa pachithunzi chili pansipa. Kulemera kwa chinthucho ndi 1 kg. Kuthamanga kwa mphamvu yokoka ndi 9.8 m/s ² . Dziwani mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa chinthucho pafupi ndi tebulo.

Zodziwika:

Kulemera (m) = 1 kg

Kuthamanga kwa mphamvu yokoka (g) = 9.8 m/s ²

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

Kufunidwa: mphamvu yachibadwa (N)

Yankho:

Chinthucho chili patebulo, kotero mphamvu yonse pa chinthucho ndi zero (lamulo loyamba kapena lachiwiri la Newton). Kulemera kwa chinthucho kumagwira ntchito molunjika pansi, kulowera pakati pa Dziko Lapansi. Payenera kukhala mphamvu ina pa chinthucho kuti igwirizane ndi mphamvu yokoka . Chinthucho chili patebulo, kotero kuti tebulo ligwiritse ntchito mphamvu iyi yokwera. Mphamvu yomwe imagwiritsidwa ntchito ndi tebulo nthawi zambiri imatchedwa mphamvu yachibadwa (N). Yachibadwa imatanthauza perpendicular.

Sankhani njira yopita mmwamba ngati njira yabwino ya y. Mphamvu yonse pa chinthucho ndi:

∑ Fy = 0

N – w = 0

N = w

N = mg

N = 9.8 Newton

Mphamvu yachibadwa pa chinthucho, yomwe imachokera pa tebulo ndi 9.8 N mmwamba.

[irp]

2. Zinthu ziwiri zomwe zili patebulo. Kulemera kwa chinthu 1 (m ₁ ) = 1 kg, kulemera kwa chinthu 2 (m ₂ ) = 2 kg, kuthamanga chifukwa cha mphamvu yokoka (g) = 9.8 m/s ^2. Dziwani kukula ndi njira ya mphamvu yachibadwa yomwe imagwiritsidwa ntchito ndi m ₂ pa m ₁ ndi mphamvu yachibadwa yomwe imagwiritsidwa ntchito ndi tebulo pa m ₂.

Anakonza

Zodziwika:

Kulemera kwa chinthu 1 (m1 ₎ = 1 kg

Kulemera kwa chinthu 2 (m2 ₎ = 2 kg

Kuthamanga kwa mphamvu yokoka (g) = 9.8 m/s ²

Kulemera kwa chinthu 1 (w ₁ ) = m ₁ g = (1)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Kulemera kwa chinthu 2 (w ₂ ) = m ₂ g = (2)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

Akufuna: N ₁ ndi N ₂

Yankho:

(a) Mphamvu yachibadwa yogwiritsidwa ntchito ndi m ₂ kupita ku m ₁ (N ₁ )

N ₁ = w ₁ = 9.8 Newton

Njira ya N1 _ili mmwamba.

(b) Mphamvu yachibadwa yomwe imachokera patebulo pa m ₂ (N ₂ )

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

Njira ya N2 _ili mmwamba.

[irp]

3. Chinthu chomwe chili patebulo. Kulemera kwa chinthucho ndi 2 kg, kuthamanga chifukwa cha mphamvu yokoka ndi 9.8 m/s ² . Kukula kwa mphamvu F ndi 10 Newtons. Pezani kukula ndi njira ya mphamvu yachibadwa yomwe ikugwiritsidwa ntchito patebulo pa chinthucho.

Anakonza

Zodziwika:

Kulemera kwa chinthu (m) = 2 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 9.8 m/s ²

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

Mphamvu F (F) = 10 Newton

Kufunidwa : kukula ndi malangizo a mphamvu yachibadwa (N)

Yankho:

mphamvu yachibadwa imayang'ana mmwamba.

Kukula kwa mphamvu yachibadwa:

∑ F = 0

N – F – w = 0

N = F + w

N = 10 Newtons + 20 Newtons

N = 30 Newton

[irp]

4. Chinthu chomwe chili patebulo. Kulemera kwa chinthucho ndi 1 kg, kuthamanga chifukwa cha mphamvu yokoka ndi 9,8 m/s ² , mphamvu F ₁ ndi 10 N ndipo mphamvu F ₂ ndi 20 N. Dziwani kukula ndi komwe mphamvu yachibadwa yomwe tebulo limagwiritsa ntchito pa chinthucho imachokera. g = 9.8 m/s ²

Anakonza

Zodziwika:

Kulemera (m) = 1 kg

Kuthamanga kwa mphamvu yokoka (g) = 9.8 m/s ²

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

F1 = 10 _Newtons

F2 = 20 _Newtons

Kufunidwa: kukula ndi malangizo a mphamvu yachibadwa (N)

Yankho:

Mphamvu yachibadwa imalowera mmwamba.

Kukula kwa mphamvu yachibadwa:

∑ 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. Kulemera kwa chinthu (m) = 2 kg, kufulumira kwa mphamvu yokoka (g) = 9.8 m/s ² , ngodya = 30 ^o . Pezani kukula ndi njira ya mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa chinthucho.

Yankho:

w ndi kulemera, w _x ndi gawo lopingasa la kulemera, w _y ndi gawo loyima la kulemera, N ndi mphamvu yachibadwa.

Zodziwika:

kulemera (m) = 2 kg

kufulumira kwa mphamvu yokoka (g) = 9.8 m/s ²

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

w _x = w sin 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

Kufunidwa: mphamvu yachibadwa (N)

Yankho:

∑ F = 0

N – w _y = 0

N = w _y

N = 9.8 Newton

[irp]

[wpdm_package id='467′]

1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamwamba mopingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri omwe ali ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi kumalumikizidwa ndi zingwe ndi ma pulleys
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

Mavuto omwe adathetsedwa mu malamulo a Newton oyendetsera zinthu - Kulemera, ndi kulemera

1. Kulemera kwa kulemera kwa 1 kg pamwamba pa Dziko Lapansi ndi… g = 9.8 m/s ²

Zodziwika:

Kulemera (m) = 1 kg

Kuthamanga kwa mphamvu yokoka padziko lapansi (g) = 9.8 m/s ²

Kufunidwa: kulemera (w)

Yankho:

w = mg

m = kulemera (Chigawo cha SI cha kulemera ndi kilogalamu, kg)

g = kuthamanga chifukwa cha mphamvu yokoka (Chigawo cha SI cha g ndi m/s ² )

w = kulemera (Chigawo cha SI cha w ndi kg m/s ² kapena Newton)

Kunenepa:

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

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2.

(a) Jambulani mphamvu yokoka (kulemera) yomwe imagwira ntchito pa chinthucho pamene chinthucho chili patebulo, monga momwe zasonyezedwera pachithunzi (a).

(b) Jambulani mphamvu yokoka (kulemera) ndi zigawo zake zomwe zimagwira ntchito pa chinthu chomwe chikutsetsereka pansi , monga momwe zasonyezedwera pachithunzi (b)

Anakonza

Njira yolemererayo ili pansi kupita pakati pa Dziko Lapansi.

w _x = gawo lopingasa la kulemera ndipo w _y = gawo loyima la kulemera

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3. Kulemera kwa bokosi ndi 1 kg ndipo kuthamanga chifukwa cha mphamvu yokoka ndi 9.8 m/s ^2. Pezani (a) kulemera (b) gawo lopingasa ndi gawo loyima la kulemerako.

Anakonza

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

Gawo lopingasa la kulemera:

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

Gawo loyima la kulemera:

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

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1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamwamba mopingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri omwe ali ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi kumalumikizidwa ndi zingwe ndi ma pulleys
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana

Werengani zambiri

Mavuto Othetsedwa mu Kuyenda Kolunjika - Kuyenda mmwamba ndi pansi mu kugwa kwaulere

1. Munthu amaponya mpira mmwamba ndi liwiro loyambirira la 20 m/s. Werengani kutalika kwake. Musanyalanyaze kukana madzi. Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s ².

Anakonza

Timagwiritsa ntchito imodzi mwa ma equation a kinematic awa poyenda mothamanga nthawi zonse , monga momwe tawonetsera pansipa.

v _t = vo ₊ pa

s = vot ₊ ½ pa ²

v _t ² = v _o ² + 2 monga

Zodziwika:

Timasankha njira yopita mmwamba ngati yabwino ndipo njira yopita pansi ngati yoipa.

Liwiro loyambirira (v _o ) = 20 m/s (lokwera mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = – 10 m/s ² (yoyipa pansi).

Liwiro lomaliza (v _t ) = 0 (liwiro lake ndi zero nthawi imodzi pamalo okwera kwambiri)

Kufunidwa: Kutalika kwakukulu (h)

Yankho:

v _t ² = v _o ² + 2 gh

0 = (20 ² ) + 2(-10) maola

0 = 400 – 20 maola

400 = maola 20

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

[irp]

2. Munthu amaponya mwala mmwamba pa liwiro la 20 m/s pamene akuyimirira m'mphepete mwa phiri, kotero kuti mwalawo ukhoza kugwa pansi pa phirilo mamita 100 pansi pake.

(a) Kodi mpirawo umatenga nthawi yayitali bwanji kuti ufike pansi pa phiri (b) Liwiro lomaliza lisanafike mwala wogunda pansi. Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s ² . Musanyalanyaze kukana madzi.

Zodziwika:

Timasankha njira yopita mmwamba ngati yabwino ndipo njira yopita pansi ngati yoipa.

Kutalika (h) = -100 mamita (kuchepa chifukwa malo omaliza ali pansi pa malo oyamba)

Liwiro loyambirira (v _o ) = 20 m/s (lokwera mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = -10 m/s ² (yoyipa pansi)

Akufuna:

(a) Nthawi yomwe ili mlengalenga kapena nthawi yomwe ili pakati (t)

(b) Liwiro lomaliza (v _t )

Yankho:

(a) Nthawi yopuma (t)

Zodziwika:

Kutalika (h) = -100 mamita (kuchepa chifukwa malo omaliza ali pansi pa malo oyamba)

Liwiro loyambirira (v _o ) = 20 m/s (zabwino mmwamba), Kuthamanga kwa mphamvu yokoka (g) = -10 m/s ² (zoipa pansi).

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

Timagwiritsa ntchito njira ya quadratic:

(b) Liwiro lomaliza

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

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[wpdm_package id='517′]

1. Mtunda ndi kusamuka
2. Liwiro lapakati ndi liwiro lapakati
3. Liwiro lokhazikika
4. Kuthamanga kosalekeza
5. Kuyenda kwaulere kwa kugwa
6. Kuyenda pansi mu kugwa kwaulere
7. Kuyenda mmwamba ndi pansi mu kugwa kwaulere

Werengani zambiri

Mavuto Othetsedwa mu Linear Motion - Down motion mu free fall

1. Mpira umaponyedwa molunjika pansi ndi liwiro loyambirira la 10 m/s ndipo umafika pansi mu masekondi awiri. Pezani liwiro lomaliza mpira usanagunde pansi. Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ² . Musanyalanyaze kukana madzi.

Zodziwika:

Liwiro loyambirira (v _o ) = 10 m/s

Nthawi yatha (t) = masekondi awiri

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Kufunidwa: Liwiro lomaliza (v _t )

Yankho:

Kuthamanga kwa 10 m/s ² kumatanthauza kuwonjezeka kwa liwiro ndi 10 m/s pa sekondi. Pambuyo pa masekondi atatu, liwiro = 30 m/s.

Liwiro lomaliza = 10 m/s + 20 m/s = 30 m/s.

Ma equation a Kinematic a kayendedwe ka kuthamanga kosalekeza , monga momwe tawonetsera pansipa:

v _t = vo _o + 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

Liwiro lomaliza = v _t = 30 m/s

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2. Mwala umaponyedwa molunjika pansi kuchokera pa mlatho ndi liwiro loyambirira la 5 m/s ndipo umafika m'madzi mu masekondi awiri. Werengani kutalika kwa mlatho.

Zodziwika:

Liwiro loyambirira (v _o ) = 5 m/s

Nthawi yatha (t) = masekondi awiri

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s ²

Kufunidwa: kutalika kwa mlatho (h)

Yankho:

h = vot ₊ ½ gt ²

h = (5)(2) + ½ (10)(2) ²

h = 10 + (5)(4)

h = 10 + 20

h = mamita 30

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3. Mpira umaponyedwa molunjika pansi ndi liwiro loyamba la 10 m/s kuchokera kutalika kwa mamita 80. Pezani (a) Nthawi mumlengalenga (b) Liwiro lomaliza mpira usanagunde pansi.

Zodziwika:

kutalika (h) = mamita 80

Liwiro loyambirira (v _o ) = 10 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Akufuna:

(a) Nthawi yopuma (t)

(b) Liwiro lomaliza (v _t )

Yankho:

(a) Nthawi yopuma (t)

Liwiro lomaliza:

v _t ² = v _o ² + 2 gh

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

v _t = 41 m/s

Nthawi yopuma (t):

v _t = vo _o + g t

41 = 10 + (10)(t)

41 – 10 = 10 t

31 = 10 t

t = 31 / 10 = masekondi awiri

(b) Liwiro lomaliza (v _{t )}?

v _t = 41 m/s

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[wpdm_package id='517′]

1. Mtunda ndi kusamuka
2. Liwiro lapakati ndi liwiro lapakati
3. Liwiro lokhazikika
4. Kuthamanga kosalekeza
5. Kuyenda kwaulere kwa kugwa
6. Kuyenda pansi mu kugwa kwaulere
7. Kuyenda mmwamba ndi pansi mu kugwa kwaulere

Werengani zambiri