Mutemo wechipiri waNewton wekufamba - matambudziko nemhinduro

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

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