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 liwiro la mwalawo likagunda pansi ndi lotani?

Zodziwika:

Kutalika (h) = mamita 45

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

Kufunidwa: Liwiro lomaliza la mwala ukagunda pansi (v _t )

Yankho:

Chitsanzo cha kuyenda kwa free fall :

v _t ² = 2 gh

Liwiro lomaliza la mwala:

v _t ² = 2 (10)(45) = 900

v _t = √900 = 30 m/s ²

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

Zodziwika:

Nthawi yopuma (t) = masekondi 2

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

Kufunidwa: Kutalika (h)

Yankho:

Chiyerekezo cha kuyenda kwaulere kwa kugwa:

h = ½ gt ²

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/s ²

Kufunidwa : Nthawi yopuma (t)

Yankho:

Chiyerekezo cha kuyenda kwaulere kwa kugwa:

h = ½ gt ²

Nthawi yopuma:

20 = ½ (10)(t ² )

20 = (5)(t ² )

20/5 = t ²

4 = t ²

t = √4

t = masekondi awiri

4. Zinthu ziwiri, chinthu 1 ndi chinthu 2, zimagwa momasuka kuchokera kutalika kwa h ₁ ndi h ₂ nthawi imodzi. Ngati h ₁ : h ₂ = 2: 1, kodi chiŵerengero cha nthawi yochokera pa chinthu 1 kupita ku chinthu 2 ndi chiani?

Zodziwika:

Kutalika kwa chinthu 1 (h ₁ ) = 2

Kutalika kwa chinthu 2 (h ₂ ) = 1

Kuthamanga chifukwa cha mphamvu yokoka = g

Akufuna: t ₁ : t ₂

Yankho:

Chinthu 1:

h ₁ = 1/2 gt _{​​​​1} ²

2 = 1/2 = ₁ ²

(2)(2) = gt ₁ ²

4 = gt ₁ ²

4/g = t ₁ ²

t ₁ = √4/g

Chinthu 2:

h ₂ = 1/2 gt _{​​​​2} ²

1 = 1/2 = ₂ ²

(2)(1) = gt ₂ ²

2 = gt ₂ ²

2/g = t ₂ ²

t ₂ = √2/g

Chiŵerengero cha nthawi:

t ₁ : t ₂

√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/s ².

Zodziwika:

Liwiro lomaliza (v _t ) = 10 m/s

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

Kufunidwa: Nthawi yofikira 1/2 ola pamwamba pa nthaka

Yankho:

Kutalika kwa h:

v _t ² = 2 gh

10 ² = 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 gt ^{​​​​2}

2.5 = 1/2 (10) t ²

2.5 = 5 t ²

t ² = 2.5 / 5 = 0.5 = (0.25)(2)

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

6.

Kuyenda kwa kokonati kopanda kugwa ( chithunzi 1 ) ndi kuyenda kwa mpira woponyedwa molunjika mmwamba mpaka pamalo okwera kwambiri ndi wophunzira (chithunzi e 2). Dziwani mtundu wa kuyenda konseku.

Yankho:

Chithunzi 1 = kuyenda kopanda kugwa = Kuthamanga

Chithunzi 2 = kuyenda koyima = Kutsika kwa mphamvu

Yankho lolondola ndi A.

7. Mwala umagwa momasuka kuchokera mnyumba. Nthawi yomwe mwala umafunika kuti ufike pansi ndi masekondi atatu ndipo kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s ^2. Dziwani 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

Kufunidwa: 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 gt ²

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/s ² ndipo kukangana kwa mpweya sikunyalanyazidwa, ndiye kuti mudziwe 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/s ²

Nthawi yopuma (t) = sekondi imodzi

Kufunidwa: Kutalika kwa chipatso pamwamba pa nthaka

Yankho:

Pambuyo pa sekondi imodzi, zipatso sizimagwa mpaka kufika pa:

h = ½ gt ² = 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 kwachindunji kwa chinthu chomwe chimayendetsedwa ndi mphamvu yokoka yokha, popanda mphamvu zina (monga kukana mpweya) zomwe zimagwira ntchito.

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

   Yankho : Zinthu zonse zomwe zimagwa mwaulere pafupi ndi dziko lapansi zimakumana ndi kuthamanga kosalekeza chifukwa cha mphamvu yokoka, $g$ , yomwe ndi pafupifupi 9.81 m/s ² pansi. Izi zikutanthauza kuti liwiro la chinthucho limawonjezeka ndi kuchuluka kumeneku pa sekondi iliyonse ya kugwa mwaulere.

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. Chikayamba kugwa pansi, chimathamanga chifukwa cha mphamvu yokoka, zomwe zimawonjezera liwiro lake pansi.

7. Kodi liwiro la terminal ndi chiyani pankhani ya kugwa kwaulere?

   Yankho : Kuthamanga kwa terminal ndi liwiro lalikulu lomwe chinthu chikugwa chimafikira pamene mphamvu yokoka yotsika imayendetsedwa ndi mphamvu yokwera ya kukana mpweya. Pakadali pano, chinthucho sichimathamanganso 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. Kapangidwe kake sikofunikira chifukwa mphamvu yokoka yokha ndi yomwe imagwira ntchito pa izo, ndipo unyinji wake ndi wofanana.