Matsalolin da aka Magance a fannin Fizik na Asali

Motsi a kan jirgin sama mai karkata da ƙarfin gogayya - amfani da dokar Newton ta matsalolin motsi da mafita

1. Abu na taro = 2 kg, hanzari saboda nauyi = 9.8m/s2, ma'aunin gogayya mai canzawa = 0.2, ma'aunin gogayya mai motsi = 0.1. Shin abin yana hutawa ne ko kuma yana hanzari? Idan abin ya hanzarta, nemo (a) ƙarfin da ke cikin akwatin (b) girma da alkiblar akwatin. hanzari!

Motsi a kan jirgin sama mai karkata da ƙarfin gogayya - amfani da dokar Newton ta matsalolin motsi da mafita 1

Magani

Motsi a kan jirgin sama mai karkata da ƙarfin gogayya - amfani da dokar Newton ta matsalolin motsi da mafita 2

An sani:

Nauyi (m) = 2 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s2

Coefficient na gogayya mai motsi (μs) = 0.2

Coefficient na gogayya ta motsi (μk) = 0.1

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

Sashen kwance na nauyi (wx) = w zunubi 30o = (19.6)(0.5) = 9.8 Newton

Bangaren tsaye na nauyin th (w)y) = w cos 30o = (19.6)(0.5√3) = 9.8√3 Newtons

Ƙarfin al'ada (N) = wy = 9.8√3 Newton

Ƙarfin gogayya mai motsi (f)s) = (0.2)(9.8√3) = 1.96√3 Newtons = 3.39 Newtons

Ƙarfin gogayya ta motsi (f)k) = (0.1)(9.8√3) = 0.98√3 Newtons = 1.69 Newtons

Magani:

Abu yana hutawa idan wx < fs, abu yana motsawa ƙasa idan wx > fs.

wx = 9.8 Newton da fs = 3.39 Newtons.

(a) ƙarfin da ba a iya amfani da shi ba

ΣF = wx - fk = 9.8 – 1.69 = 8.11 Newton

(b) girma da alkiblar saurin gudu

ΣF = ma

8.11 = (2) a

a = 4.05 ba

Girman hanzarin = 4.05 m/s2 da kuma alkiblar hanzarin = ƙasa.

2. Nauyin abu = 4 kg, hanzari saboda nauyi = 9,8 m/s2. Coefficient na kinetic gogayya = 0.2 da coefficient na static gogayya = 0.4. Girman ƙarfin F = 40 Newtons. Abu yana hutawa ko yana zamewa ƙasa? Idan abu yana zamewa ƙasa, nemo (a) ƙarfin da aka tara (b) girma da alkiblar hanzarin!

Motsi a kan jirgin sama mai karkata da ƙarfin gogayya - amfani da dokar Newton ta matsalolin motsi da mafita 3

Magani

Motsi a kan jirgin sama mai karkata da ƙarfin gogayya - amfani da dokar Newton ta matsalolin motsi da mafita 4

An sani:

Nauyi (m) = 4 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s2

Ma'aunin gogayya mai tsauri (μs) = 0.4

Matsakaicin gogayya ta motsi (μk) = 0.2

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

Sashen kwance na nauyin (w)x) = w zunubi 30o = (39.2)(0.5) = 19.6 Newton

A tsaye bangaren nauyin (w)y) = w cos 30o = (392)(0..5√3) = 19.6√3 Newtons

Ƙarfin al'ada (N) = wy = 19.6√3 Newtons = 33.95 Newtons

Ƙarfin gogayya mai canzawa (f)s) = μs N = ba (0,4)(33.95) = 13.58 Newtons

Ƙarfin gogayya na motsi (f)k) = μk N = ba (0.2)(33.95) = 6.79 Newtons

F = 40 Newton

Magani:

Abu yana zamewa ƙasa idan F < wx +fsAbu zai zame sama idan F > wx +fs.

F = 40 Newton, wx = 19.6 Newton da fs = 13.58 Newtons.

F ya fi w girmax +fs don haka abin zai zame sama.

(a) Ƙarfin da ba a iya amfani da shi ba

ΣF = F – wx - fk = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Girma da alkiblar saurin gudu

ΣF = ma

6.4 = (4) a

a = 1.6 ba

Girman saurin gudu shine 1.6 m/s2 kuma alkiblar hanzarin tana sama.

[wpdm_package id='481′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba - aikace-aikacen dokar Newton ta matsalolin motsi da mafita

1. Akwati taro = 2 kg, hanzari saboda nauyi = 9.8m/s2Nemo (a) ƙarfin da ke hanzarta akwatin zuwa ƙasa (b) girman akwatin hanzari.

Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba - amfani da dokar Newton ta matsalolin motsi da mafita 1

Magani

Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba - amfani da dokar Newton ta matsalolin motsi da mafita 2

An sani:

Nauyi (m) = 2 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s2

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

wx = w zunubi 30 = (19.6)(0.5) = 9.8 Newtons

wy = w cos 30 = (19.6)(0.5√3) = 9.8√3 Newtons

Magani:

(A) The yanar gizo donce wanda ke hanzarta akwatin

Jirgin da aka karkata yana da santsi, don haka babu ƙarfin gogayya. Ƙarfin da ke aiki akan abu shine wx.

ΣF = wx

ΣF = 9.8 Newton

(B) girman hanzarin

ΣF = ma

9.8 = (2) a

a = 9.8/2

a = 4.9 m/s2

Girman saurin gudu shine 4.9 m/s2, alkiblar hanzarin tana ƙasa.

2. Jirgin sama mai karkata yana da laushi don haka babu ƙarfin gogayyaNauyin abu shine kilogiram 3, saurin gudu saboda nauyi shine 9.8 m/s2. Kayyade girman ƙarfin F idan (a) abu yana hutawa (b) abu yana motsawa ƙasa tare da saurin gudu akai-akai 2 m/s2 (c) abu yana tafiya sama tare da saurin gudu na 2 m/s akai-akai2.

Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba - amfani da dokar Newton ta matsalolin motsi da mafita 3

Magani

Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba - amfani da dokar Newton ta matsalolin motsi da mafita 4

An sani:

Nauyi (m) = 3 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s2

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

wx = w zunubi 30 = (29.4)(0.5) = 14.7 Newtons

wy = w cos 30 = (29.4)(0.5√3) = 14.7√3 Newtons

Magani:

(a) Girman ƙarfin F idan wani abu yana hutawa

Dokar farko ta Newton na motsi ya bayyana cewa idan abu yana hutawa, ƙarfin da ke aiki akan abu ba shi da sifili.

ΣF=0

F – wx = 0

F = wx

F = 14.7 Newton

(b) Girman ƙarfin F idan wani abu yana tafiya ƙasa a madaidaicin mita 2/s2

ΣF = ma

wx – F = ma

14.7 – F = (3)(2)

14.7 – F = 6

F = 14.7–6

F = 8.7 Newton

(c) Girman ƙarfin F idan wani abu yana tafiya sama a madaidaicin mita 2/s2

ΣF = ma

F – wx = ma

F – 14.7 = (3)(2)

F – 14.7 = 6

F = 14.7 + 6

F = 20.7 Newton

[wpdm_package id='479′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Motsin gawawwaki biyu masu hanzari iri ɗaya a saman kwance mai tsauri tare da ƙarfin gogayya - matsaloli da mafita

1. Mass na akwatin 1 shine 2 kg, nauyin akwatin 2 shine 4 kg, saurin nauyi shine 10 m/s2, girman ƙarfin F shine Newtons 40. Matsakaicin gogayya tsakanin akwatin 1 da bene shine 0.2 kuma ƙimar gogayya tsakanin akwatin 2 da bene shine 0.3. Nemo (a) Girma da alkiblar akwatin hanzari (b) Girman ƙarfin da akwatin 1 ke amfani da shi a akwatin 2 (F)12) da kuma girman ƙarfin da akwatin 2 ke amfani da shi a kan akwatin 1 (F21).

Motsin jiki guda biyu masu hanzari iri ɗaya a kan saman kwance mai ƙarfi tare da ƙarfin gogayya - matsaloli da mafita 1

Magani

Motsin jiki guda biyu masu hanzari iri ɗaya a kan saman kwance mai ƙarfi tare da ƙarfin gogayya - matsaloli da mafita 2

An sani:

Nauyin akwatin 1 (m1) = 2kg

Nauyin akwatin 2 (m2) = 4kg

Haɓaka nauyi (g) = 10 m/s2,

Ƙarfin F = 40 Newton,

Coefficient na gogayya ta motsi tsakanin akwatin 1 da bene (μk1) = 0.2

Daidaiton gogayya tsakanin akwati na 2 da bene (μk2) = 0.3

The nauyi na akwatin 1 (w1) = m1 g = (2)(10) = 20 Newton

Nauyin akwatin 2 (w)2) = m2 g = (4)(10) = 40 Newton

The ƙarfin yau da kullun an yi shi a kan akwati 1 (N)1) = w1 = 20 Newton

Ƙarfin da aka saba amfani da shi a kan akwatin 2 (N)2) = w2 = 40 Newton

Ƙarfin gogayya mai motsi da aka yi a kan akwatin 1 (f)k1) = (μk1)(N1) = (0.2)(20) = 4 Newtons

Ƙarfin gogayya mai motsi da aka yi a kan akwatin 2 (f)k2) = (μk1)(N2) = (0.3)(40) = 12 Newtons

Magani:

(a) Girma da alkiblar saurin akwatin

ΣF = ma

F - fk1 - fk2 = (m1 +m2) da kuma

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s2

Alkiblar hanzari = alkiblar ƙarfin raga = zuwa dama.

(b) Girman ƙarfin da akwatin 1 ke amfani da shi a akwatin 2 (F)12) da kuma girman ƙarfin da akwatin 2 ke amfani da shi a kan akwatin 1 (F21).

Lissafa girman F12 :

ΣF = ma

F12 - fk2 = (m2) da kuma

F12 – 12 = (4)(4)

F12 - 12 = 16

F12 = 16 + 12

F12 = 28 Newton

F12 da F21 su ne ƙarfin aiki da amsawa waɗanda ke aiki akan abubuwa daban-daban.12 da F21 yana da girma iri ɗaya da kuma alkiblar akasin haka.

F12 = Newtons 28 = F21 = 28 Newtons.

2. Nauyin akwatin 1 shine kilogiram 2, nauyin akwatin 2 shine kilogiram 4, saurin nauyi shine mita 10/s2, ƙarfin F shine 40 N. Ma'aunin gogayya tsakanin akwatin 1 da bene shine 0.2 kuma ma'aunin gogayya tsakanin akwatin 2 da bene shine 0.3. Ƙayyade (a) Girma da alkiblar hanzarin (b) Jin zafi a cikin igiyar da ke haɗa akwatunan. Yi watsi da nauyin igiya.

Motsin jiki guda biyu masu hanzari iri ɗaya a kan saman kwance mai ƙarfi tare da ƙarfin gogayya - matsaloli da mafita 3

An sani:

Nauyin akwatin 1 (m1) = 2kg

Nauyin akwatin 2 (m2) = 4kg

Saurin nauyi (g) = 10 m/s2,

Ƙarfin F = 40 Newton,

Daidaiton gogayya tsakanin akwatin 1 da bene shine 0.2 (μk1) = 0.2

Daidaiton gogayya tsakanin akwatin 2 da bene shine 0.2 (μk2) = 0.3

Nauyin akwatin 1 (w)1) = m1 g = (2)(10) = 20 Newton

Nauyin akwatin 2 (w)2) = m2 g = (4)(10) = 40 Newton

Ƙarfin da aka saba amfani da shi a kan akwatin 1 (N)1) = w1 = 20 Newton

Ƙarfin da aka saba amfani da shi a kan akwatin 2 (N)2) = w2 = 40 Newton

Ƙarfin gogayya mai motsi da aka yi a kan akwatin 1 (f)k1) = (μk1)(N1) = (0.2)(20) = 4 Newtons

Ƙarfin gogayya mai motsi da aka yi a kan akwatin 2 (f)k2) = (μk1)(N2) = (0.3)(40) = 12 Newtons

Magani:

(a) girma da alkiblar saurin gudu

ΣF = ma

F - fk1 - fk2 = (m1 +m2) da kuma

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s2

Girman saurin gudu shine 4 m/s2, alkiblar hanzari = alkiblar ƙarfin raga = zuwa dama.

(b) Tashin hankali a cikin igiyar

Ƙarfin da ke aiki a kan akwati 1 a cikin alkiblar kwance su ne tashin hankali 1 (T)1) zuwa dama da ƙarfin gogayya ta motsi 1 (fk1) zuwa hagu. Yi amfani da dokar Newton ta biyu:

ΣF = ma

T1 - fk1 = m1 a

T1 - 4 = (2)(4)

T1 - 4 = 8

T1 = 8 + 4 = 12 Newton

Ƙarfin da ke aiki a kan akwatin 2 a cikin alkiblar kwance su ne tashin hankali 2 (T)2) hagu da ƙarfin gogayya ta motsi 2 (fk2) zuwa dama. A nema Dokar Newton ta biyu :

ΣF = ma

F – T2 - fk2 = m2 a

40-T2 – 12 = (4)(4)

28-T2 = 16

T2 = 28 – 16 = 12 Newton

Tashin hankali a cikin igiyar da ke haɗa akwatunan = T1 = T ba2 = T = Newtons 12.

[wpdm_package id='493′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin jiki guda biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata mai ƙarfi tare da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin gawawwaki da aka haɗa ta hanyar igiyoyi da ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Motsi a saman kwance ba tare da ƙarfin gogayya ba - amfani da dokokin motsi da mafita na Newton

1. Nauyin abu 1 shine kilogiram 2, nauyin abu 2 shine kilogiram 4, hanzarta nauyi shine 10 m/s2, girman ƙarfin F shine Newtons 12. Kayyade girma da alkiblar hanzarin abubuwa.

Motsi a saman kwance ba tare da ƙarfin gogayya ba - amfani da dokar Newton ta matsalolin motsi da mafita 1

An sani:

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

Nema : a

Magani:

ΣF = ma

F = (m1 +m2) da kuma

12 = (2 + 4) a

12 = 6 a

a = 12/6

a = 2 m/s2

Girman saurin gudu shine 2 m/s2, alkiblar hanzari = alkiblar ƙarfin raga = zuwa dama.

2. Mass na abu 1 shine 2 kg, nauyin abu 2 shine 4 kg, saurin nauyi shine 10 m/s2, girman ƙarfin F shine 24 N. Kayyade girma da alkiblar hanzari.

Motsi a saman kwance ba tare da ƙarfin gogayya ba - amfani da dokar Newton ta matsalolin motsi da mafita 2

An sani:

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

SE busca: hanzari (a)

Magani:

ΣF = ma

F = (m1 +m2) da kuma

24 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s2

Alkiblar hanzarin = alkiblar ƙarfin raga = zuwa dama.

[wpdm_package id='474′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Ƙarfin gogayya mai motsi da kuma ta motsi - matsaloli da mafita

An warware matsaloli a cikin dokokin motsi na Newton - Ƙarfin gogayya mai motsi da kuma gogayya mai motsi

1. Wani abu yana rataye a kan ƙasa mai kwance. Matsakaicin gogayya mai motsi shine 0.4 da kuma hanzarta nauyi shine 9.8 m/s2Kayyade (a) Matsakaicin ƙarfin gogayya mai tsauri (b) Mafi ƙarancin ƙarfin F 

Ƙarfin gogayya mai motsi da motsi - matsaloli da mafita 1

Magani

Ƙarfin gogayya mai motsi da motsi - matsaloli da mafita 2

An sani:

Mass (m) = 1 kg

Ma'aunin gogayya mai motsi (μs) = 0.4

Saurin nauyi (g) = 9.8 m/s2

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

ƙarfin al'ada (N) = w = 10 Newton

Ana so:

(A) Matsakaicin ƙarfin gogayya mai tsauri (b) mafi ƙarancin ƙarfin F

Magani:

(A) Matsakaicin ƙarfin gogayya mai tsauri

fs = μs N

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

(b) mafi ƙarancin ƙarfin F

Idan an yi amfani da ƙarfin F a kan abin amma abin bai motsa ba, to dole ne a sami ƙarfin gogayya mai tsayi da ƙasa ke yi a kan abin. Idan abin zai fara motsawa, kuma an wuce ƙarfin gogayya mai tsayi, dole ne a sami ƙarfin gogayya mai tsayi. Abu zai fara motsawa idan F ya fi ƙarfin gogayya mai tsayi.

Don haka mafi ƙarancin ƙarfin F = matsakaicin ƙarfin gogayya mai tsauri = 3.92 Newtons.

2. Ana jawo akwatin kilogiram 1 a saman kwance ta hanyar ƙarfin F, don haka akwatin yana motsawa a cikin saurin da ba ya canzawa. Idan ma'aunin gogayya na motsi shine 0.1, a tantance girman ƙarfin F! (g = 9.8 m/s2)

Ƙarfin gogayya mai motsi da motsi - matsaloli da mafita 3

An sani:

Ma'aunin gogayya na motsi (μk) = 0.1

Nauyin akwati (m) = 1 kg

Saurin nauyi (g) = 9.8 m/s2

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

Ƙarfin al'ada (N) = w = 9.8 Newtons

Nema : F

Magani:

Dokar farko ta Newton ya bayyana cewa idan babu wani ƙarfi da ke aiki a kan wani abu, kowane abu yana ci gaba da kasancewa a cikin yanayin hutawarsa, ko kuma saurinsa na yau da kullun a cikin layi madaidaiciya.

Don haka idan abu ya motsa a saurin da ya dace, dole ne babu wani ƙarfi mai ƙarfi (ΣF = 0)Ana amfani da ƙarfi F akan abu a daidai hanya don ƙarfin gogayya mai motsi ya kasance akan abu a gefen hagu.

ΣF=0

F – fk = 0

F = fk

Ƙarfin gogayya ta motsi:

fk = μk N = (0.1)(9.8 N) = 0.98 Newtons

abu yana motsawa tare da saurin da ba ya canzawa, F = fk = 0.98 Newton

3. Wani abu yana zamewa ƙasa jirgin sama mai karkata tare da saurin da ya dace. Ƙayyade ma'aunin gogayya na motsi (μk). g = 9.8 m/s2

Ƙarfin gogayya mai motsi da motsi - matsaloli da mafita 4

Magani

Ƙarfin gogayya mai motsi da motsi - matsaloli da mafita 5

w = nauyi, wx = ɓangaren nauyi a kwance, maki tare da karkata, wy = bangaren nauyi a tsaye, a tsaye zuwa ga matakin da aka karkata, N = ƙarfin al'ada, fk = ƙarfin gogayya ta motsi.

An sani:

Nauyi (m) = 1 kg

Saurin nauyi (g) = 9.8 m/s2

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

wx = w zunubi 30o = (9.8 N)(0.5) = 4.9 Newtons

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

Ƙarfin al'ada (N) = wy = 4.9√3 Newton

Ana so: ma'aunin gogayya ta motsi (μk)

Magani:

Abu yana zamewa ƙasa da jirgin sama mai karkata tare da saurin da ya dace don ƙarfin raga = 0.

ΣF=0

wx - fk = 0

wx = fk

wx = μk N

5 = μk (5√3)

μk = 5 / 5√3

μk = 1 /√3

μk = 0.58

[wpdm_package id='472′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin jiki guda biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata mai ƙarfi tare da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin gawawwaki da aka haɗa ta hanyar igiyoyi da ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Dokar motsi ta biyu ta Newton - matsaloli da mafita

An warware matsaloli a cikin dokokin motsi na Newton - dokar motsi ta biyu ta Newton 

1. Abu mai nauyin kilogiram 1 yana hanzartawa a daidai mita 5/s2Kimanta ƙarfin da ake buƙata don hanzarta abin.

An sani:

Nauyi (m) = 1 kg

hanzari (a) = 5 m/s2

Nema : ƙarfin da ba a iya amfani da shi ba (∑F)

Magani:

Muna amfani da dokar Newton ta biyu don samun ƙarfin da ya dace.

ΣF = ma

ΣF = (1 kg)(5 m/s2) = 5 kg m/s2 = 5 Newton

2. Mass na abu = 1 kg, ƙarfin da aka tara ∑F = 2 Newtons. Kayyade girma da alkiblar saurin abin….

Dokar motsi ta biyu ta Newton - matsaloli da mafita 1

An sani:

Nauyi (m) = 1 kg

Ƙarfin da aka samu (∑F) = 2 Newton

Nema : Girma da alkiblar hanzarin (a)

Magani:

a = ∑F / m

a = 2/1

a = 2 m/s2

Alkiblar hanzarin = alkiblar ƙarfin raga (∑F)

3. Nauyin abu = 2 kg, F1 = 5 Newtons, F2 = Newtons 3. Girma da alkiblar saurin shine…

Dokar motsi ta biyu ta Newton - matsaloli da mafita 2

An sani:

Nauyi (m) = 2 kg

F1 = 5 Newton

F2 = 3 Newton

Ana so: Girma da alkiblar hanzarin (a)

Magani:

ƙarfi mai ƙarfi:

ΣF = F1 - F2 = 5 – 3 = 2 Newton

Girman hanzarin:

a = ∑F / m

a = 2/2

a = 1 m/s2

Alkiblar hanzari = alkiblar ƙarfin raga = alkiblar F1

4. Nauyin abu = 2 kg, F1 = 10 Newtons, F2 = Newtons 1. Girma da alkiblar saurin shine…

Dokar motsi ta biyu ta Newton - matsaloli da mafita 3

An sani:

Dokar motsi ta biyu ta Newton - matsaloli da mafita 4

Nauyi (m) = 2 kg

F2 = 1 Newton

F1 = 10 Newton

F1x = F1 kowa 60o = (10)(0.5) = 5 Newton

Nema : Girma da alkiblar hanzarin (a)

Magani:

Ƙarfin da aka samu:

ΣF = F1x - F2 = 5 – 1 = 4 Newton

Girman hanzarin:

a = ∑F / m

a = 4/2

a = 2 m/s2

Alkiblar hanzari = alkiblar ƙarfin raga = alkiblar F1x

5. F1 = 10 Newtons, F2 = 1 Newton, m1 = 1 kg, m2 = 2 kg. Girma da alkiblar saurin shine…

Dokar motsi ta biyu ta Newton - matsaloli da mafita 5

An sani:

Tashi 1 (m1) = 1 kg

Tashi 2 (m2) = 2 kg

F1 = 10 Newton

F2 = 1 Newton

Nema : Girma da alkiblar hanzarin (a)

Magani:

Ƙarfin da ke cikinsa:

ΣF = F1 - F2 = 10 – 1 = 9 Newton

Girman hanzarin:

a = ∑F / (m1 +m2)

a = 9 / (1 + 2)

a = 9/3

a = 3 m/s2

Alkiblar hanzarin = alkiblar ƙarfin raga = alkiblar F1

6.

Toshe mai nauyin kilogiram 40 da ƙarfin N200 ke ƙaruwa. Hawan toshewar shine mita 3/s2Kayyade girman ƙarfin gogayya da tubalin ya fuskanta.

A. 15 NDokar motsi ta biyu ta Newton - matsaloli da mafita 7

B. 40 N

C. 43 N

D. 80 N

An sani:

Nauyi (m) = 40 kg

Ƙarfi (F) = 200 N

Hanzari (a) = 3 m/s2

SE busca: Ƙarfin gogayya (Fg)

Magani:

Lissafin da aka yi Dokar motsi ta biyu ta Newton

ΣF = ma

ΣF = ƙarfin net, m = taro, a = hanzari

Alkiblar ƙarfin F zuwa dama, alkiblar ƙarfin gogayya zuwa hagu (alkiblar ƙarfin gogayya yana akasin alkiblar motsin abu).

Zaɓi gefen dama a matsayin mai kyau da kuma gefen hagu a matsayin mara kyau.

ΣF = ma

F – Fg = ma

200 - Fg = (40)(3)

200 - Fg = 120

Fg = 200-120

Fg = 80 Newton

Amsar da ta dace ita ce D.

7. Toshe A da nauyin gram 100 a sanya a saman toshe B tare da nauyin gram 300, sannan a tura toshe B da ƙarfin 5 N a tsaye sama. A tantance ƙarfin yau da kullun an yi amfani da toshe B akan toshe A.

A. 1 NDokar motsi ta biyu ta Newton - matsaloli da mafita 2

B. 1.25 N

C. 2 N

D. 3 N

An sani:

Ƙarfi (F) = 5 Newton

Nauyin toshe A (m)A) = gram 100 = 0.1 kg

Nauyin tubalan B (m)B) = gram 300 = 0.3 kg

Haɓaka nauyi (g) = 10 m/s2

Weight na toshe A (w)A) = (0.1 kg)(10 m/s2) = 1 kg m/s2 = 1 Newton

Nauyin toshe B (w)B) = (0.3 kg)(10 m/s2) = 3 kg m/s2 = 3 Newton

Ana so: Ƙarfin da toshe B ke amfani da shi don toshe A

Magani:

Dokar motsi ta biyu ta Newton - matsaloli da mafita 3Akwai ƙarfi da dama da ke aiki a kan tubalan biyu, kamar yadda aka nuna a hoto.

F = ƙarfin turawa (aiki akan toshe B)

wA = nauyin toshe A (aiki akan toshe A)

wB = nauyin toshe B (aiki akan toshe B)

NA = ƙarfin da toshe B ke yi akan toshe A (Yi aiki akan toshe A)

NA' = ƙarfin da toshe A ke amfani da shi akan toshe B (Yi aiki akan toshe B)

Yi amfani da dokar motsi ta biyu ta Newton a kan dukkan tubalan:

ΣF = ma

F – wA - wB +NA - NA' = (mA +mB) da kuma

NA da NA' su ne ƙarfin aiki-amsawa waɗanda suke da girma iri ɗaya amma akasin alkibla don haka an kawar da su daga lissafin.

F – wA - wB = (mA +mB) da kuma

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

Yi amfani da dokar motsi ta biyu ta Newton a kan toshe A:

ΣF = ma

NA - wA = mA a

NA – 1 = (0.1)(2.5)

NA - 1 = 0.25

NA = 1 + 0.25

NA = 1.25 Newton

Amsar da ta dace ita ce B.

8. Abu mai nauyin N 4 wanda igiya da pulley ke tallafawa. Ƙarfin N 2 yana aiki akan toshe da kuma ƙarshen igiyar da ƙarfin N 9 ke ja. Tantance ƙarfin da ke aiki akan abu X.

A. 3 N samaDokar motsi ta biyu ta Newton - matsaloli da mafita 4

B. 4 N ƙasa

C. 9 N sama

D. 9 N ƙasa

An sani:

Nauyin X (w)X) = 4 Newton

Ja ƙarfin (F)x) = 2 Newton

Ƙarfin tashin hankali (F)T) = 9 Newton

SE busca: Ƙarfin da ke aiki a kan abu X yana aiki

Magani:

Ƙarfin da ke aiki a tsaye sama wanda ke aiki akan abu

Ƙarfin tashin hankali yana da girma iri ɗaya a dukkan sassan igiyar. Don haka ƙarfin tashin hankali shine 9 N.

Ƙarfin da ke aiki a tsaye a ƙasa wanda ke aiki akan abu

Akwai ƙarfi biyu da ke aiki akan abu X kuma dukkan ƙarfin suna tsaye a ƙasa, ɓangaren kwance na nauyi wx da kuma ɓangaren kwance na ƙarfi Fx.

Aikin ƙarfi na net akan abu

FT - wX - Fx = 9 – 4 – 2 = 9 – 6 = 3

Ƙarfin da ke aiki akan abu X shine Newtons 3, a tsaye sama.

Amsar da ta dace ita ce A.

9. Abu da farko yana hutawa a kan wani wuri mai santsi a kwance. Ƙarfin N 16 yana aiki akan abu don haka abu yana sauri a 2 m/s2Idan abu ɗaya da ke kan wani wuri mai kauri a kwance don haka ƙarfin gogayya da ke aiki akan abu shine N 2, to a tantance hanzarin abu idan irin ƙarfin N 16 yana aiki akan abu.

A. 1.75 m/s2

B. 1.50 m/s2

C. 1.00 m/s2

D. 0.88 m/s2

An sani:

Ƙarfi (F) = 16 Newtons = 16 kg m/s2

Hanzari (a) = 2 m/s2

Ƙarfin gogayya (F)kuɗi) = 2 Newton = 2 kg m/s2

Ana so: Haɓakar Abu?

Magani:

Sufuri mai santsi a kwance (babu ƙarfin gogayya):

Dokar motsi ta biyu ta Newton - matsaloli da mafita 5ΣF = ma

F = ma

16 = (m) 2

m = 16/2

m = 8 kg

Nauyin abu shine kilo 8.

saman kwance mai kauri (akwai ƙarfin gogayya):

Dokar motsi ta biyu ta Newton - matsaloli da mafita 6ΣF = ma

F – Fkuɗi = ma

16 – 2 = 8 a

14 = 8 a

a = 14/8

a = 1.75 m/s2

Saurin gudu na abu shine 1.75 m/s2.

Amsar da ta dace ita ce A.

10. Tom da Andrew suna tura wani abu a ƙasa mai santsi. Tom yana tura abin da ƙarfin N5.70. Idan nauyin abin ya kai kilogiram 2.00 kuma saurin da abin ya samu ya kai ms 2.00-2, sannan a tantance girman da alkiblar aikin ƙarfi da Tom ya yi.

A. 1.70 N kuma alkiblarsa akasin ƙarfin da Andre.w ya yi ne.

B. 1.70 N kuma alkiblarsa iri ɗaya ce da ƙarfin da Andrew ya yi

C. 2.30 N kuma alkiblarta akasin ƙarfin da Andrew ya yi ne.

D. 2.30 N kuma alkiblarsa iri ɗaya ce da ƙarfin da Andrew ya yi.

An sani:

Ƙarfin turawa wanda Andrew ya yi (F)1) = 5.70 Newton

Nauyin abu (m) = 2.00 kg

Hanzari (a) = 2.00 m/s2

Ana so: Girma da alkiblar ƙarfin da Tom (F) ya ɗauka2)?

Magani:

Yi amfani da dokar motsi ta biyu ta Newton:

ΣF = ma

F1 +F2 = ma

5.70 + F2 = (2)(2)

5.70 + F2 = 4

F2 = 4-5.70

F2 = – 1.7 Newton

Alamar da aka rage ta nuna cewa (F2) akasin aikin tura ƙarfi na Andrew (F1).

Amsar da ta dace ita ce A.

11. Idan nauyin tonon ya yi daidai, wanne adadi ne ke nuna ƙaramin saurin gudu?

Dokar farko ta Newton da kuma dokar ta biyu ta Newton 2

Magani

Ƙarfin da aka samu daga A:

ΣF = 4 N + 2 N - 3 N = 6 N - 3 N = 3 Newtons, hagu

Ƙarfin da aka samu daga net B:

ΣF = 2 N + 3 N - 4 N = 5 N - 4 N = 1 Newtons, dama

Ƙarfin C:

ΣF = 4 N + 3 N - 2 N = 7 N - 2 N = 5 Newtons, dama

Ƙarfin da aka samu D:

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

Daidaiton dokar Newton ta biyu:

ΣF = ma

a = ΣF / m

a = hanzari, ΣF = ƙarfin net, m = taro

Bisa ga dabarar da ke sama, hanzarin (a) yana daidai gwargwado kai tsaye da ƙarfin net (ΣF) kuma yana daidai gwargwado da taro (m). Idan nauyin abu iri ɗaya ne, girman ƙarfin da aka samu, girman hanzarin ko ƙaramin ƙarfin da aka samu, ƙaramin hanzarin.
Dangane da lissafin da ke sama, mafi ƙarancin ƙarfin net shine 1 Newton don haka hanzarin shine mafi ƙanƙanta.

Amsar da ta dace ita ce B.

12. Wasu ƙarfi suna aiki akan wani abu mai nauyin kilogiram 20, kamar yadda aka nuna a cikin hoton da ke ƙasa.

Dokar farko ta Newton da kuma dokar ta biyu ta Newton 3

Kayyade hanzarin abin.

An sani:

Nauyin abu (m) = 20 kg

Ƙarfin net (ΣF) = 25 N + 30 N - 15 N = 40 N

SE busca: Haɓaka abu

Magani:

An ƙididdige hanzarin abu ta amfani da lissafin dokar Newton ta biyu:

ΣF = ma

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

13. Wace magana a ƙasa ta bayyana dokar Newton ta uku?

(1) Fasinjoji sun matsa gaba lokacin da bas ɗin ya yi birki ba zato ba tsammani

(2) Blittattafai akan takarda ba sa faɗuwa idan aka jawo takardar da sauri

(3) Lokacin yin wasan skateboarding idan ƙafa ta tura ƙasa baya to skateboard ɗin zai zame gaba

(4) Oars an tura su baya, jiragen ruwa suna ci gaba

Magani:

(1) Dokar farko ta Newton

(2) Dokar farko ta Newton

(3) Dokar Newton ta uku

(4) Dokar Newton ta uku

[wpdm_package id='470′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Ƙarfin al'ada - matsaloli da mafita

An warware matsaloli a cikin dokokin motsi na Newton - Ƙarfin al'ada 

1. Wani abu da ke kan teburi, wanda aka nuna a cikin hoton da ke ƙasa. Nauyin abin shine kilogiram 1. Haɓaka nauyi shine 9.8 m/s2Kayyade ƙarfin da aka saba amfani da shi akan abu a gefen teburin.

Ƙarfin al'ada-–-matsaloli-da-mafita-1-1

An sani:

Nauyi (m) = 1 kg

Saurin nauyi (g) = 9.8 m/s2

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

SE busca: ƙarfin yau da kullun (N)

Magani:

Ƙarfin al'ada - matsaloli da mafita 2

Abu yana tsaye a kan tebur, don haka ƙarfin da ke kan abu sifili ne (dokar farko ko ta biyu ta Newton). Nauyin abu yana aiki a tsaye ƙasa, zuwa tsakiyar Duniya. Dole ne a sami wani ƙarfi a kan abu don daidaita shi. karfi na hankali. Abu da ke kan tebur, don haka teburin ya yi amfani da wannan ƙarfin sama. Ƙarfin da teburin ke amfani da shi galibi ana kiransa ƙarfi na yau da kullun (N). Na al'ada yana nufin perpendicular.

Zaɓi alkiblar sama a matsayin alkiblar y mai kyau. Ƙarfin da ke kan abu shine:

ΣFy = 0

N – w = 0

N = w

N = mg

N = 9.8 Newton

Ƙarfin da aka saba da shi a kan abin, wanda teburin ke amfani da shi shine N 9.8 sama.

2. Abubuwa biyu suna kan teburi. Mass na abu 1 (m1) = 1 kg, nauyin abu 2 (m2) = 2 kg, hanzari saboda nauyi (g) = 9.8 m/s2Kayyade girma da alkiblar ƙarfin da m ke amfani da shi2 a kan m1 da kuma ƙarfin da teburin ke amfani da shi a kan m2.

Ƙarfin al'ada - matsaloli da mafita 3

Magani

Ƙarfin al'ada - matsaloli da mafita 4

An sani:

Nauyin abu 1 (m1) = 1 kg

Nauyin abu 2 (m2) = 2 kg

Saurin nauyi (g) = 9.8 m/s2

Weight na abu 1 (w1) = m1 g = (1)(9.8 m/s2) = 9.8 kg m/s2 = 9.8 Newton

Nauyin abu 2 (w)2) = m2 g = (2)(9.8 m/s2) = 19.6 kg m/s2 = 19.6 Newton

Ana so: N1 da N2

Magani:

(a) Ƙarfin da m ke amfani da shi na yau da kullun2 zuwa ga m1 (N1)

N1 = w1 = 9.8 Newton

Hanyar N1 yana sama.

(b) Ƙarfin da teburin ke amfani da shi a kan m2 (N2)

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

Hanyar N2 yana sama.

3. Abu da ke kan teburi. Nauyin abu shine kilogiram 2, saurin gudu saboda nauyi shine 9.8 m/s2Girman ƙarfin F shine Newtons 10. Nemo girma da alkiblar ƙarfin da teburin ke amfani da shi a kan abu.

Ƙarfin al'ada - matsaloli da mafita 5

Magani

Ƙarfin al'ada - matsaloli da mafita 6

An sani:

Nauyin abu (m) = 2 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s2

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

Ƙarfin F (F) = 10 Newton

Nema : girma da alkiblar ƙarfin al'ada (N)

Magani:

alkiblar ƙarfin al'ada tana sama.

Girman ƙarfin da aka saba da shi:

ΣF=0

N – F – w = 0

N = F + w

N = 10 Newtons + 20 Newtons

N = 30 Newton

4. Abu da ke kan teburi. Nauyin abu shine kilogiram 1, saurin gudu saboda nauyi shine 9,8 m/s2, ƙarfi F1 shine 10 N da ƙarfi F2 shine 20 N. Kayyade girma da alkiblar ƙarfin da teburin ke amfani da shi akan abu. g = 9.8 m/s2

Ƙarfin al'ada - matsaloli da mafita 7

Magani

Ƙarfin al'ada - matsaloli da mafita 8

An sani:

Nauyi (m) = 1 kg

Saurin nauyi (g) = 9.8 m/s2

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

F1 = 10 Newton

F2 = 20 Newton

Ana so: girma da alkiblar ƙarfin al'ada (N)

Magani:

Alkiblar ƙarfin al'ada tana sama.

Girman ƙarfin da aka saba da shi:

ΣF=0

N – F2 – w + F1 = 0

N = F2 + w – F1

N = 20 Newtons + 9.8 Newtons – 10 Newtons

N = 19.8 Newton

5. Nauyin abu (m) = 2 kg, saurin nauyi (g) = 9.8 m/s2, kusurwa = 30oNemo girma da alkiblar ƙarfin da aka yi amfani da shi a kan abu.

Ƙarfin al'ada - matsaloli da mafita 9

Magani:

Ƙarfin al'ada - matsaloli da mafita 10

w shine nauyi, wx shine ɓangaren kwance na nauyin, wy wani ɓangare ne na nauyin a tsaye, N shine ƙarfin al'ada.

An sani:

nauyi (m) = 2 kg

hanzarta nauyi (g) = 9.8 m/s2

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

wx = w zunubi 60o = (19.6 N)(0.5)√3= 9.8√3 Newton

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

SE busca: ƙarfin yau da kullun (BA)

Magani:

ΣF=0

N – wy = 0

N = wy

N = 9.8 Newton

[wpdm_package id='467′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Nauyi da nauyi - matsaloli da mafita

An warware matsaloli a cikin dokokin motsi na Newton - Matsakaici, da nauyi

1. Nauyin nauyin kilogiram 1 a saman Duniya shine… g = 9.8 m/s2

An sani:

Nauyi (m) = 1 kg

The hanzari saboda nauyi a saman Duniya (g) = 9.8 m/s2

SE busca: nauyi (w)

Magani:

w = mg

m = nauyi (Nau'in SI na nauyi shine kilogram, kg)

g = hanzari saboda nauyi (Raka'ar SI ta g shine m/s2)

w = nauyi (Raka'ar SI ta w shine kg m/s2 ko Newton)

Nauyin:

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

2.

(a) Zana zane ƙarfin nauyi (nauyi) wanda ke aiki akan abu lokacin da abu ya tsaya akan teburi, kamar yadda aka nuna a hoto (a).

(b) Zana ƙarfin nauyi (nauyi) da sassansa waɗanda ke aiki akan abu da ke zamewa ƙasa da abu jirgin sama mai karkata, kamar yadda aka nuna a hoto (b)

Nauyi da nauyi - matsaloli da mafita 1

Magani

Nauyi da nauyi - matsaloli da mafita 2

Alkiblar nauyin tana ƙasa zuwa tsakiyar Duniya.

wx = ɓangaren kwance na nauyin da wy = bangaren tsaye na nauyin

3. Nauyin akwati shine kilogiram 1 kuma saurin gudu saboda nauyi shine 9.8 m/s2Nemo (a) nauyi (b) ɓangaren kwance da ɓangaren tsaye na nauyin.

Nauyi da nauyi - matsaloli da mafita 3Magani

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

Sashen kwance na nauyin:

wx = w zunubi 30o = (9,8 N)(0,5) = 4.9 Newtons

A tsaye bangaren nauyin:

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

[wpdm_package id='458′]

  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

Karin bayani

Motsi sama da ƙasa a cikin faɗuwar 'yanci - matsaloli da mafita

Matsalolin da aka Warware a Motsin Layi - Motsin Sama da Ƙasa a lokacin faɗuwar 'yanci

1. Mutum yana jefa ƙwallo sama zuwa sama da saurin farko na 20 m/s. Lissafa yadda zai yi tsayi. Yi watsi da juriyar ruwa. Hanzarta saboda nauyi (g) = 10 m/s2.

Magani

Muna amfani da ɗaya daga cikin waɗannan lissafin kinematic don motsi a cikin hanzari akai-akai, kamar yadda aka nuna a ƙasa.

vt = vo + a

s = vo t + ½ a2

vt2 = vo2 + 2 axles

An sani:

Mu kan zaɓi hanyar sama a matsayin mai kyau, yayin da muke zaɓar hanyar ƙasa a matsayin mara kyau.

Saurin farko (v)o) = 20 m/s (tabbatacce zuwa sama)

Saurin nauyi (g) = – 10 m/s2 (ƙasa ta ƙasa).

Saurin ƙarshe (v)t) = 0 (gudun sa sifili ne a cikin gaggawa a mafi girman matsayi)

Ana so: Tsawon mafi girma (h)

Magani:

vt2 = vo2 + 2 gh

0 = (20)2) + 2(-10) h

0 = 400 – 20 hours

400 = awanni 20

h = 400 / 20 = 40 / 2 = mita 20

2. Mutum yana jefa dutse sama a gudun mita 20/s yayin da yake tsaye a gefen wani dutse, ta yadda dutsen zai iya faɗuwa zuwa gindin dutsen mita 100 a ƙasa.

(a) Tsawon lokacin da ƙwallon zai ɗauka kafin ya isa gindin dutsen (b) Saurin ƙarshe kafin dutsen ya bugi ƙasa. Saurin nauyi saboda nauyi (g) = 10 m/s2. Yi watsi da juriyar iska.

An sani:

Mu kan zaɓi hanyar sama a matsayin mai kyau, yayin da muke zaɓar hanyar ƙasa a matsayin mara kyau.

Babba (h) = mita -100 (mara kyau saboda matsayin ƙarshe a ƙasa da matsayin farko)

Da farko gudu (vo) = 20 m/s (tabbatacce zuwa sama)

Saurin nauyi (g) = -10 m/s2 (mara kyau zuwa ƙasa)

Ana so:

(a) Lokacin iska ko tazara ta lokaci (t)

(b) Saurin ƙarshe (v)t)

Magani:

(a) Tazarar lokaci (t)

An sani:

Babba (h) = mita -100 (mara kyau saboda matsayin ƙarshe a ƙasa da matsayin farko)

Saurin farko (v)o) = 20 m/s (mai kyau sama), Hawan nauyi (g) = -10 m/s2 (ƙasa ta ƙasa).

h = vo t + ½ gt2

-100 = (20) t + ½ (-10) t2

-100 = 20 t – 5 t2

-5t2 + 20 t + 100 = 0

Muna amfani da dabarar quadratic:

Motsin sama da ƙasa a cikin matsalolin faɗuwar 'yanci da mafita 1

(b) Saurin ƙarshe

vt2 = vo2 + 2 gh

vt2 ((202) + 2 (-10)(-100)

vt2 = 400 + 2000

vt2 = 2400

vt = 49m/s

[wpdm_package id='515′]

[wpdm_package id='517′]

  1. Nisa da ƙaura
  2. Matsakaicin gudu da matsakaicin gudu
  3. Gudun da ba ya canzawa
  4. Ci gaba da hanzari akai-akai
  5. Motsin faɗuwa kyauta
  6. Motsin ƙasa a cikin faɗuwar 'free fall'
  7. Motsin sama da ƙasa a cikin faɗuwar 'yanci

Karin bayani

Motsin ƙasa a cikin 'yanci - matsaloli da mafita

Matsalolin da aka Warware a Motsin Layi - Motsin Ƙasa a lokacin faɗuwar 'yanci

1. Ana jefa ƙwallon a tsaye ƙasa da saurin farko na mita 10/s kuma ta isa ƙasa cikin daƙiƙa 2. Nemo saurin ƙarshe kafin ƙwallon ta faɗi ƙasa. Haɓaka nauyi (g) = 10 m/s2. Yi watsi da juriyar iska.

An sani:

Saurin farko (v)o) = 10m/s

Lokacin da ya shude (t) = daƙiƙa 2

Saurin nauyi (g) = 10 m/s2

Ana so: Saurin ƙarshe (v)t)

Magani:

Hanzari 10 m/s2 yana nufin ƙaruwar gudu ta M10/s a kowace daƙiƙa. Bayan daƙiƙa 3, gudu = m30/s.

Saurin ƙarshe = 10 m/s + 20 m/s = 30 m/s.

Lissafin Kinematic don motsi a cikin hanzari akai-akai, kamar yadda aka nuna a ƙasa:

vt = vo + a ………. 1

h = vo t + ½ a2 ………. 2

vt2 = vo2 + 2 ah ……. 3

vt = vo + gt

vt = 10 + (10)(2)

vt = 10 + 20 = 30 m/s

Saurin ƙarshe = vt = 30m/s

2. Ana jefa dutse a tsaye daga gada mai saurin farko na m 5/s kuma ya isa ruwan cikin daƙiƙa 2. A ƙididdige tsayin gadar.

An sani:

Saurin farko (v)o) = 5m/s

Lokacin da ya shude (t) = daƙiƙa 2

Saurin gudu saboda nauyi (g) = 10 m/s2

Ana so: tsayin gadar (h)

Magani:

h = vo t + ½ gt2

h = (5)(2) + ½ (10)(2)2

h = 10 + (5)(4)

h = 10 + 20

h = mita 30

3. Ana jefa ƙwallon a tsaye ƙasa da saurin farko na mita 10/s daga tsayin mita 80. Nemo (a) Lokacin da ake cikin iska (b) Saurin ƙarshe kafin ƙwallon ta faɗi ƙasa.

An sani:

tsayi (h) = mita 80

Saurin farko (v)o) = 10m/s

Saurin nauyi (g) = 10 m/s2

Ana so:

(a) Tazarar lokaci (t)

(b) Saurin ƙarshe (v)t)

Magani:

(a) Tazarar lokaci (t)

Saurin ƙarshe:

vt2 = vo2 + 2 gh

vt2 (10)2 + 2(10)(80) = 100 + 1600 = 1700

vt = 41m/s

Tazarar lokaci (t):

vt = vo + gt

41 = 10 + (10)(t)

41 – 10 = 10 t

31 = 10t

t = 31/10 = daƙiƙa 3,1

(b) Saurin ƙarshe (v)t) ?

vt = 41m/s

[wpdm_package id='513′]

[wpdm_package id='517′]

  1. Nisa da ƙaura
  2. Matsakaicin gudu da matsakaicin gudu
  3. Gudun da ba ya canzawa
  4. Ci gaba da hanzari akai-akai
  5. Motsin faɗuwa kyauta
  6. Motsin ƙasa a cikin faɗuwar 'free fall'
  7. Motsin sama da ƙasa a cikin faɗuwar 'yanci

Karin bayani