Kuyenda kwaulere kwa kugwa - mavuto ndi mayankho

Kuyenda kwaulere kwa kugwa - mavuto ndi mayankho

1. Mwala umagwa momasuka kuchokera kutalika kwa mamita 45. Ngati kuthamanga chifukwa cha mphamvu yokoka ndi 10 ms^-2, kodi mwala umathamanga bwanji ukagunda pansi?

Zodziwika:

Kutalika (h) = mamita 45

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Akufuna: Liwiro lomaliza la mwala ukagunda pansi (v_t)

Yankho:

Chiyerekezo cha kuyenda kwaulere kwa kugwa :

v_t² = 2 gh

Liwiro lomaliza la mwala:

v_t² = 2 (10)(45) = 900

v_t = √900 = 30 m/s²

2. Chinthu chopanda mphamvu chimagwa kuchokera kutalika popanda liwiro loyambirira. Chinthucho chimagunda pansi patatha masekondi awiri. Kuthamanga chifukwa cha mphamvu yokoka ndi 10 ms^-2Dziwani kutalika

Zodziwika:

Nthawi yopuma (t) = masekondi 2

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Akufuna: Kutalika (h)

Yankho:

Chiyerekezo cha kuyenda kwaulere kwa kugwa:

h = ½ gt²

Kutalika:

h = ½ (10)(2)² = (5)(4) = mamita 20

3. Chinthu cholemera makilogalamu awiri chikagwa kuchokera kutalika kwa mamita 20 kuchokera pansi. Kodi nthawi ya chinthucho mumlengalenga ndi yotani? Kuthamanga chifukwa cha mphamvu yokoka ndi 10 ms^-2

Zodziwika:

Kutalika (h) = mamita 20

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

anafuna : Nthawi yopuma (t)

Yankho:

Chiyerekezo cha kuyenda kwaulere kwa kugwa:

h = ½ gt²

Nthawi yopuma:

20 = ½ (10)(t²)

20 = (5)(t²)

20/5 = t²

4 = t²

t = √4

t = masekondi awiri

4. Zinthu ziwiri, chinthu 1 ndi chinthu 2, ndi kugwa kwaulere kuchokera kutalika kwa h₁ ndi h₂ nthawi yomweyo. Ngati h₁ :h₂ = 2: 1, chiŵerengero cha nthawi kuchokera pa chinthu 1 kupita ku chinthu 2 ndi chiani.

Zodziwika:

Kutalika kwa chinthu 1 (h₁= = 2

Kutalika kwa chinthu 2 (h₂= = 1

Kuthamanga chifukwa cha mphamvu yokoka = g

Akufuna: t₁ : t₂

Yankho:

Chinthu 1:

h₁ = 1/2 gt₁²

2 = 1/2 gt₁²

(2)(2) = gt₁²

4 = gt₁²

4/g = t₁²

t₁ = √4/g

Chinthu 2:

h₂ = 1/2 gt₂²

1 = 1/2 gt₂²

(2)(1) = gt₂²

2 = gt₂²

2/g = t₂²

t₂ = √2/g

Chiŵerengero cha nthawi:

t₁ : t₂

√4/g : √2/g

(√4/g)² : (√2/g)²

4/g: 2/g

4: 2

2: 1

5. Chinthu chotsika kuchokera kutalika kwa h pamwamba pa nthaka. Liwiro lomaliza pamene chinthucho chikugunda pansi ndi 10 m/s. Kodi nthawi yofikira ½ h pamwamba pa nthaka ndi iti? Kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s².

Zodziwika:

Liwiro lomaliza (v)_t) = 10 m/s

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Akufuna: Nthawi yofikira 1/2 ola pamwamba pa nthaka

Yankho:

Kutalika kwa h:

v_t² = 2 gh

10² = 2 (10) maola

100 = maola 20

h = 100 / 20

h = mamita 5

Kutalika kwa 1/2 ola = 1/2 (mamita 5) = mamita 2.5. Nthawi yofunikira kuti ifike mamita 2.5 pamwamba pa nthaka:

h = 1/2 gt²

2.5 = 1/2 (10) t²

2.5 = 5 t²

t² = 2.5 / 5 = 0.5 = (0.25)(2)

t = √(0.25)(2) = 0.5√2 = 1/2 √2 masekondi

6.

The kuyenda kwa kokonati kwaulere nthawi yophukira (chiwerengero cha 1) ndi kayendetsedwe ka a mpira woponyedwa molunjika mmwambaward kufika pamalo apamwamba kwambirit ndi wophunzira (chithunzie 2). Dziwani mtundu wa onse zoyendas.

Yankho:

Chithunzi 1 = kuyenda kwaulere kwa kugwa = Kuthamanga

Chithunzi 2 = kuyenda koyima = Kuchepa kwa mphamvu

Yankho lolondola ndi A.

7. Mwala umagwa kuchokera mnyumba. Nthawi yomwe mwala umafunika kuti ufike pansi ndi masekondi atatu ndipo kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s²Dziwani kutalika kwa nyumbayo.

A. 15 m

B. 20 m

C. 30 m

D. 45 m

Zodziwika:

Nthawi yopuma (t) = masekondi 3

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 ms^-2

SE basi: Kutalika kwa nyumba (h)

Yankho:

Chodziwika: nthawi yocheperako (t) ndi kuthamanga chifukwa cha mphamvu yokoka (g), kufunidwa: kutalika (h) kotero gwiritsani ntchito equation ya kuyenda kopanda kugwa: h = ½ gt²

h = ½ (10)(3)

h = (5)(3)

h = mamita 15

Yankho lolondola ndi A.

8. Chipatso chimagwa mosavuta kuchokera mumtengo wake pamtunda wa mamita 12 kuchokera pansi. Ngati kuthamanga chifukwa cha mphamvu yokoka kuli g = 10 m/s² ndipo kukangana kwa mpweya kunyalanyazidwa, kenako dziwani kutalika kwa chipatsocho pamwamba pa nthaka pakatha sekondi imodzi.

A. 7 m

B. 6 m

C. 5 m

D. 4 m

Zodziwika:

Kutalika kwa mtengo (h) = mamita 12

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Nthawi yopuma (t) = sekondi imodzi

SE basi: Kutalika kwa chipatso pamwamba pa nthaka

Yankho:

Pambuyo pa sekondi imodzi, zipatso sizimagwa mpaka kufika pa:

h = ½ gt² = ½ (10)(1)² = (5)(1) = mamita 5

Kutalika kwa chipatso pamwamba pa nthaka pambuyo pa sekondi imodzi:

Mamita 12 – mamita 5 = mamita 7

Yankho lolondola ndi A.

1. Kodi kuyenda kwa free fall ndi chiyani?

   yankho: Kuyenda kwachigwa kwaulere kumatanthauza kuyenda kwa chinthu chomwe chili pansi pa mphamvu yokoka yokha, popanda mphamvu zina (monga kukana mpweya) zomwe zikugwira ntchito pa icho.

2. Kodi kuthamanga chifukwa cha mphamvu yokoka, komwe nthawi zambiri kumaimiridwa bwanji $g$, zimakhudza chinthu chomwe chimagwa momasuka?

   yankhoZinthu zonse zomwe zimagwa momasuka pafupi ndi dziko lapansi zimakumana ndi kuthamanga kosalekeza chifukwa cha mphamvu yokoka, $g$, yomwe ili pafupifupi 9.81m / s² Izi zikutanthauza kuti liwiro la chinthucho limawonjezeka ndi kuchuluka kumeneku pa sekondi iliyonse ya kugwa kwaulere.
3. Ngati kukana mpweya kuli kochepa, kodi kulemera kwa chinthu kumakhudza bwanji kufulumira kwake kugwa kwaulere?

   yankho: Ngati palibe kukana kwa mpweya, kulemera kwa chinthu sikukhudza kuthamanga kwake kwa kugwa kwaulere. Zinthu zonse, mosasamala kanthu za kulemera kwawo, zidzagwa ndi kuthamanga komweko chifukwa cha mphamvu yokoka, $g$.
4. N’chifukwa chiyani akatswiri a zakuthambo amaoneka ngati akuyandama mkati mwa International Space Station (ISS) ngati mphamvu yokoka ikadalipo pamenepo?

   yankho: Oyenda mumlengalenga omwe ali mkati mwa ISS akuoneka kuti akuyandama osati chifukwa chakuti palibe mphamvu yokoka, koma chifukwa chakuti onse oyenda mumlengalenga ndi ISS ali mu mkhalidwe wopitirira wa kugwa kwaulere kuzungulira Dziko Lapansi. Kwenikweni akugwa mofanana ndi ISS, zomwe zimapangitsa kuti munthu azimva ngati alibe kulemera.

5. Kodi kusiyana pakati pa kulemera ndi kulemera ndi kotani pankhani ya kugwa kwaulere?

   yankho: Unyinji ndi muyeso wa kuchuluka kwa chinthu chomwe chili mu chinthu ndipo chimakhala chosasunthika mosasamala kanthu za malo ake. Kulemera, kumbali ina, ndi mphamvu yomwe imagwiritsidwa ntchito pa chinthu chifukwa cha mphamvu yokoka. Imasiyana malinga ndi mphamvu yokoka. Pa nthawi yogwa, chinthu chimamva chopanda kulemera chifukwa palibe mphamvu yachibadwa yomwe imagwira ntchito pa icho, koma unyinji wake sunasinthe.
6. Ngati chinthu chaponyedwa mmwamba, chimachitika ndi chiyani ndi liwiro lake pamene chikukwera? Ndipo chimachitika ndi chiyani chikayamba kugwanso pansi?

   yankho: Chinthu chikaponyedwa mmwamba, chimatsika mphamvu yake chifukwa cha mphamvu yokoka. Liwiro lake limachepa mpaka kufika pa zero pamalo ake apamwamba kwambiri. Pamene chikuyamba kugwa pansi, chimathamanga chifukwa cha mphamvu yokoka, ndikuwonjezera liwiro lake kumbali yotsika.
7. Kodi liwiro la terminal ndi chiyani pankhani ya kugwa kwaulere?

   yankho: Kuthamanga kwa terminal ndi liwiro lokhazikika lomwe chinthu chikugwa chimafikira pamene mphamvu yokoka yotsika imayendetsedwa ndi mphamvu yokwera ya kukana mpweya. Pakadali pano, chinthucho sichikuthamanganso ndipo chimapitiriza kugwa pa liwiro lokhazikika.

8. Kodi kutalika komwe chinthu chimagwera kumakhudza bwanji nthawi yomwe imatenga kuti chifike pansi?

   yankho: Nthawi yomwe chinthu chimatenga kuti chifike pansi imagwirizana ndi muzu wa sikweya wa kutalika komwe chimagwera (poganiza kuti palibe kukana kwa mpweya). Chinthu chogwetsedwa kuchokera kutalika kwakukulu chimatenga nthawi yayitali kuti chifike pansi kuposa chomwe chagwetsedwa kuchokera kutalika kochepa.
9. Kodi chimachitika ndi chiyani ku mphamvu yomwe chinthu chingathe kugwira pamene chikugwa momasuka pansi pa mphamvu yokoka?

   yankho: Chinthu chikagwa momasuka pansi pa mphamvu yokoka, mphamvu zake zomwe zingatheke (zofanana ndi nthaka) zimachepa. Kuchepa kumeneku kwa mphamvu zomwe zingatheke kumasanduka mphamvu ya kinetic, zomwe zimapangitsa kuti liwiro la chinthucho liwonjezeke.

10. Ngati zinthu ziwiri zosiyana koma zolemera zomwezo zagwetsedwa kuchokera kutalika komweko mu vacuum, ndi ziti zomwe zidzagwe pansi poyamba?

yankho: Mu malo opanda mpweya, komwe kulibe kukana kwa mpweya, zinthu zonse ziwiri zidzagunda pansi nthawi imodzi. Mawonekedwe awo sadzafunika chifukwa mphamvu yokoka yokha ndi yomwe ikugwira ntchito pa iwo, ndipo unyinji wawo ndi wofanana.