Kuyenda kwa matupi awiri okhala ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana - mavuto ndi mayankho

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.

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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.

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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