Muenzaniso wekufamba wakamira kumusoro

3 Mienzaniso yemibvunzo yekufamba yakamira kumusoro

1. Bhora rinokandwa rakamira kumusoro nekumhanya kwekutanga kwe20 m/s. Sarudza kukwirira kwakanyanya kwebhora. g = 10 m/s²
Kukurukurirana
Mukufamba kwakamira kumusoro, kana chinhu chikakwira kumusoro, chinodzika, uye kana chikadzika pasi, chinokurumidza. Saka, kufamba kwakamira kumusoro zvakare muenzaniso weGLBB.
Fomura yeGLBB :
v_t =v_o + pa
s = v_o t + ½ pa²
v_t² =v_o² + maekisero maviri
Fomura yeGLBB iri pamusoro apa yakagadziridzwa uye yakagadziridzwa kuti ienderane nemamiriro ekufamba kwakamira kumusoro, ine manotsi akati wandei.

Fomura Yekufamba Yakamira Inoenda Kumusoro :
v_t =v_o + gt
h = v_o t + ½ gt²
v_t² =v_o² + 2 gh
Tsananguro: v_t = kumhanya kwekupedzisira, v_o = kumhanya kwekutanga, g = kukurumidza nekuda kwegiravhiti, t = nguva yekupfuura, h = kukwirira.
Catatan :
Chekutanga, mukugadzirisa matambudziko ekufamba kwakamira kumusoro, huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector hwakanangidzirwa pasi hunopiwa chiratidzo chekusatevera.
Chepiri, kana nzvimbo yekupedzisira yechinhu iri pamusoro penzvimbo yekutanga (nzvimbo yekutanga ndiyo nzvimbo yekunongedzera) saka kuchinjika (h) kwechinhu kwacho kwakanaka. Kusiyana neizvi, kana nzvimbo yekupedzisira iri pasi penzvimbo yekutanga saka kuchinjika kwechinhu kwakaipa.
Chetatu, kana yareba zvakanyanya, chinhu chacho chinomira kwechinguva chisati chachinja divi, saka kumhanya kwechinhu chacho = 0.

Zvinozivikanwa kuti:
v_o = 20 m/s (yakanaka nekuti kutungamira kwekumhanya kwekutanga kuri mudenga = chinhu chakakandwa mudenga), g = – 10 m/s² (hasi nekuti divi rekumhanya kwesimba regiravhiti rinogara riri pasi, v_t = 0 (pahurefu hwakanyanya, chinhu chacho chinomira kwechinguva)
Akabvunzwa:
Kureba kwakanyanya (h)?
Mhinduro:

2. Mabwe anokandwa akatwasuka kubva pachivako chiri pamusoro pevhu mamita makumi mashanu nekumhanya kwekutanga kwe20 m/s. Sarudza (a) nguva inodiwa kuti usvike pasi (b) kumhanya kwebwe parinosvika pasi. g = 10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
h = -100 mamita
v_o = 20 m/s
g = -10 m/s²
Akabvunzwa:
(a) nguva (t)
(b) kumhanya kwekupedzisira (v)_t)
Mhinduro:
(a) nguva (t)
Zvichipiwa h = -100 metres (negative nekuti nzvimbo yekupedzisira yemarble iri pasi penzvimbo yekutanga yemarble), v_o = 20 m/s (yakanaka nekuti divi rekutanga rekufamba riri mudenga kana divi rekutanga riri mudenga), g = -10 m/s² (haisi yakanaka nekuti divi rekumhanya kwesimba regiravhiti riri pasi).

Nguva haigone kuva ne "negative value", saka t inoshandiswa.₂ = masekondi 6,9.

(b) Kumhanya kwekupedzisira
Zvapiwa h, v_o uye g, akabvunza v_t, saka shandisa fomura yechitatu.

3. Bhora A rinokandwa rakamira kumusoro nekumhanya kwe10 ms ^-1 . Sekondi imwe chete gare gare, kubva panzvimbo imwe chete, bhora B rinokandwa rakamira kumusoro munzira imwe chete nekumhanya kwe25 ms ^-1 . Kureba kunosvikwa nebhora B parinosangana nebhora A ndiko...

A. 0,20 m

B. 4,80 m

C. 5,00 m

D. 5,20 m

E. 31,25 m

Kukurukurirana

Mukugadzirisa matambudziko ekufamba kwakamira kumusoro , huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector hwakanangidzirwa pasi hunopiwa chiratidzo chekusawirirana.

Zvinozivikanwa kuti:

Kumhanya kwekutanga (v _o ) kwebhora A = 10 m/s

Nguva (t) iyo bhora A riri mumhepo = x

Kumhanya kwekutanga (v _o ) kwebhora B = 25 m/s

Nguva (t) iyo bhora B riri mumhepo = x – 1

Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s ² (gwara rekumhanya kunokonzerwa negiravhiti riri pasi saka rine chiratidzo chekusaratidza kunaka)

Mubvunzo: Kureba kunosvikwa nebhora B kana rasangana nebhora A (h)

Huwandu huripo hunoti velocity yekutanga (v _o ), gravitational acceleration (g), height (h) uye time interval (t) saka fomura inoshandiswa ndeiyi:

h = vot ₊ ½ gt ²

Kuti zvisangane, kureba kwemabhora ese kunofanira kunge kwakafanana.

h _A = h _B

vhoti + ½ gt ² = vhoti _{+ ½} gt ²

10x + ½ (-10) x ² = 25 (x-1) + ½ (-10) (x-1) ²

10x – 5x ² = 25 (x-1) – 5 (x-1) ²

10x – 5x ² = 25x – 25 – 5 (x ² -2x+1)

10x – 5x ² = 25x – 25 – 5x ² + 10x – 5

10x – 5x ² – 25x + 25 + 5x ² – 10x + 5 = 0

– 5x ² + 5x ² + 10x – 25x – 10x + 25 + 5 = 0

10x – 25x – 10x + 25 + 5 = 0

– 25x + 25 + 5 = 0

– 25x + 30 = 0

– 25x = – 30

x = -30/-25

x = 1,2 masekonzi

Nguva iyo bhora A riri mudenga bhora risati rasangana B = 1,2 seconds.

Nguva iyo bhora B riri mudenga bhora risati rasangana A = 1,2 seconds - 1 sekondi = 0,2 seconds.

Kureba kunosvikwa nebhora A kana rasangana nebhora B (h):

h = vot ₊ ½ gt ² = (10)(1,2) + 1/2 (-10)(1,2) ² = 12 – 5(1,44) = 12 – 7,2 = 4,8 mamita

Kureba kunosvikwa nebhora B kana rasangana nebhora A (h):

h = vot ₊ ½ gt ² = (25)(0,2) + 1/2 (-10)(0,2) ² = 5 – 5(0,04) = 5 – 0,2 = 4,8 mamita

Mhinduro chaiyo ndeiyi B.

Mibvunzo pamusoro pekufamba kwakamira kumusoro

1. Bhora rinokandwa rakamira kumusoro nekumhanya kwekutanga kwe10 m/s. Sarudza kukwirira kwakanyanya kwebhora. g = 10 m/s²
Mhinduro:
h = mamita 5
2. Mabwe anokandwa akatwasuka kubva pachivako chiri pamusoro pevhu mamita makumi mashanu nekumhanya kwekutanga kwe5 m/s. Sarudza (a) nguva inodiwa kuti usvike pasi (b) kumhanya kwebwe parinosvika pasi. g = 10 m/s²
Mhinduro:
(a) t = masekondi 3,7 (b) v_t = 32 m/s

[Chirungu: Kufamba kumusoro nekudzika mukudonha kwakasununguka - matambudziko nemhinduro ]