Muenzaniso wekufamba kweparabolic

Mienzaniso 7 yemibvunzo yekufamba kweparabolic

1. Bara rinopfurwa nekumhanya kwe20 ms ^-1 . Kana kona yekukwira iri 60 ^o uye kukwira kwesimba nekuda kwegiravhiti = 10 ms ^-2 , ipapo bara rinosvika pakakwirira mushure…

A. Masekondi 1

B. Masekondi 2

C. √ Masekondi matatu

D. Masekondi 2√3

E. Masekondi 3√2

Kukurukurirana

Zvinozivikanwa kuti:

Kumhanya kwekutanga kwebara (v _o ) = 20 ms ^–1

Kona yekukwirira (θ) = 60 ^o C

Kukurumidza kunokonzerwa negiravhiti (g) = 10 ms ^–2

Mubvunzo: Nguva iyo bara rinosvika pakakwirira

Mhinduro:

Kumhanya kwekutanga kwebara munzira yakatwasuka (x-axis):

mombe = v _o cos 60 ^o = (20) (0,5) = 10 m/ _s

Kumhanya kwekutanga kwebara mugwara rakatwasuka (y-axis):

v _oy = v _o chivi 60 ^o = (20)(0,5√3) = 10√3 m/s

Kuti uverenge nguva iyo bara rinosvika pakukwirira kwaro kwakanyanya, tarisa kufamba kwebara kubva panguva yarinopfurwa kusvika rasvika pakukwirira kwaro kukuru. Pakukwirira kwaro, bara rinomira kwechinguva risati radzokera shure, saka kumhanya kwaro pakukwirira kwaro izero (v _ty = 0).

Nguva iyo bara rinosvika pakakwirira inoverengwa uchishandisa fomura inotevera:

v _ty = v _oy + gt

Information :

v _ty = kumhanya kwekupedzisira kwebara munzira yakatwasuka = ​​kumhanya kwebara panzvimbo yakakwirira = 0 m/s

v _oy = kumhanya kwekutanga kwebara munzira yakatwasuka = ​​10√3 m/s

g = kukurumidza nekuda kwegiravhiti = 10 m/s ²

t = nguva yekupfuura

Nguva yekurova bara kuti risvike pakakwirira:

v _ty = v _oy + gt

0 = 10√3 – 10 t

10√3 = 10 t

t = 10√3 / 10

t = √3 masekonzi

Mhinduro chaiyo ndiC.

2. Bara rinopfurwa nekumhanya kweV _o uye kona yekukwira yeα. Panzvimbo yakakwirira, ipapo...

A. simba rekinetic harisi zero

B. simba guru rekinetic

C. simba guru rinogona kushandiswa

D. simba rose rakakwana

E. kumhanya kwakanyanya

Kukurukurirana

Kana bara rikapfurwa nevelocity yekutanga v _o uye elevation angle α, bara rinofamba nenzira yeparabola. Pakukwirira kwepamusoro, simba regravitational potential riri pakukwirira kwaro nekuti bara riri pakukwirira kwaro kwepamusoro. Pakukwirira, bara rinoramba richifamba nenzira yakatwasuka nekuti bara rine kinetic energy, kunyangwe kukosha kwaro kuri kushoma. Kinetic energy iri pakaderera nekuti simba guru rinoshandurwa kuita gravitational potential energy.

Mhinduro chaiyo ndiC.

3. Muchengeti wegedhi anokanda bhora nenzira yekuritevera sezvakaratidzwa mumufananidzo. Daro X riri…. (g = 10 ms ^-2 ).

A. 62,5 m

B. 31,25 √ 2 m

C. 31,25 m

D. 25 √ 2 m

E. 25 m

Kukurukurirana

Zvinozivikanwa kuti:

Kumhanya kwekutanga (vo ₎ = 25 m/s

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Angle (θ) = 45 ^o

Akabvunzwa: Kureba X

Mhinduro:

Kumhanya kwekutanga kwebhora munzira yakatwasuka:

v _ox = v _o cos θ = (25 m/s)(cos 45 ^o ) = (25 m/s)(0,5 √ 2 ) = 12,5 √ 2 m/s

Kumhanya kwekutanga kwebhora munzira yakatwasuka:

v _oy = v _o chivi θ = (25 m/s)(chivi 45 ^o ) = (25 m/s)(0,5 √ 2) = 12,5 √ 2 m/s

Kufamba kweparabolic musanganiswa wekufamba kwakatwasuka nekwakatwasuka. Nokudaro, kufamba kweparabolic kunoongororwa sekunge kwakagadzirwa nemafambiro maviri akasiyana. Kufamba kwakatwasuka kunoongororwa sekufamba kwakatwasuka kwakaenzana , uye kufamba kwakatwasuka kunoongororwa sekufamba kwakatwasuka kumusoro.

Nguva yenguva yebhora mumhepo (t):

Kutanga, verenga nguva yekufamba kwebhora richitevedza parabola. Nguva yekufamba inoverengwa uchishandisa fomura yekufamba kwakamira kumusoro.

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

Zvinozivikanwa kuti:

Velocity yekutanga (v _o ) = 12,5 √ 2 m/s (yakanaka nekuti divi rekutanga revelocity riri kumusoro)

Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s ² (negative nekuti divi rekumhanya kunokonzerwa negiravhiti riri pasi)

Kureba (h) = 0 (kana bhora radzokera panzvimbo yaro yekutanga, kuchinja kwekukwirira kwebhora kunenge kuri zero)

Mubvunzo: Nguva (t) iyo bhora rinofamba richitevedza parabola

Mhinduro:

Zvapiwa v _o , g, h uye zvakabvunzwa t kuitira kuti fomura yekufamba yakamira kumusoro inoshandiswa i h = vo _t + 1/2 gt ^{​​​​2}

h = vhoti ₊ 1/2 gt ^{​​​​2}

0 = ( 12,5 √ 2 ) t + 1/2 (-10) t ²

0 = 12,5 √ 2 t – 5 t ²

12,5 √ 2 t = 5 t ²

12,5 √ 2 = 5 t

t = 12,5 √ 2 / 5

t = 2,5 √ masekondi maviri

Daro rakatarwa rinosvikwa nebhora (X):

Daro rakatambanuka rinoverengwa uchishandisa fomura yekufamba yakatsetseka yakafanana.

Zvinozivikanwa kuti:

Kumhanya (v) = 12,5 √ 2 m/s

Nguva (t) = 2,5 √ masekondi maviri

Akabvunzwa: Kure

Mhinduro:

s = vt = ( 12,5 √ 2 )( 2,5 √ 2 ) = ( 12,5 )( 2,5 )(2) = mamita 62,5

Mhinduro chaiyo ndiA.

4. Bara rinopfurwa nenzira yekutevedzana sezvakaratidzwa mumufananidzo (g = 10 ms ^-2 )

Kureba kwakanyanya kunosvikwa nebara ndekwekuti...

A. 5 m

B. 10 m

C. 20 m

D. 25 m

E. 30 m

Kukurukurirana

Zvinozivikanwa kuti:

Kumhanya kwekutanga (vo ₎ = 20 m/s

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Angle (θ) = 30 ^o

Yabvunzwa: Kureba kwakanyanya (h max)

Mhinduro:

Kutanga verenga velocity yekutanga munzira yakatwasuka (v _oy ):

v _oy = v _o chivi 30 ^o = (20)(chivi 30 ^o ) = (20)(0,5) = 10 m/s

Mushure mekuwana kukosha kwekutanga kwevelocity munzira yakatwasuka (v _oy ) , ikozvino verengai kukwirira kwepamusoro uchishandisa nzira imwecheteyo yekuverenga kukwirira kwepamusoro mukufamba kwakatwasuka . Mukugadzirisa matambudziko ekufamba kwakatwasuka kumusoro, huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector hwakanangidzirwa pasi hunopiwa chiratidzo chisina kunaka.

Zvinozivikanwa kuti:

Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s ² (negative nekuti divi rekumhanya kunokonzerwa negiravhiti riri pasi)

Kumhanya kwekutanga munzira yakatwasuka (v _oy ) = 10 m/s (zvakanaka nekuti nzira yekumhanya iri kumusoro)

Kumhanya pakukwirira kwepamusoro (v _ty ) = 0

Kana chinhu chakakwirira kwazvo chasvika, chinosara chakazorora kwechinguva chisati chadzokera pasi. Saka kana chakakwirira kwazvo, kumhanya kwechinhu chacho izero.

Zvinodiwa: Kureba kwakanyanya (h)

Mhinduro:

Nekuti huwandu hunozivikanwa ndivo _voy , g uye v _ty , nepo chiri kubvunzwa chiri h, fomura yekufamba kwakamira kumusoro inoshandiswa ndeiyi:

v _t ² = v _o ² + 2 gh

Tsananguro: v _t = kumhanya kwekupedzisira, v _o = kumhanya kwekutanga, g = kukurumidza kwegiravhiti, h = kukwirira kwakanyanya.

Kureba kwakanyanya:

v _t ² = v _o ² + 2 gh

0 ² = 10 ² + 2 (-10) maawa

0 = maawa 100 - 20

100 = maawa makumi maviri

h = 100/20

h = mamita 5

Kureba kwakanyanya mamita mashanu.

Mhinduro chaiyo ndiA.

5. Munhu anobata bhora pakakwirira kwemamita makumi maviri obva arikanda rakatwasuka mberi nekumhanya kwekutanga kwe5 m/s. Sarudza:
(a) Nguva iyo bhora rinosvika pasi
(b) Daro guru rakati twasu rinosvikwa nebhora
(c) Kumhanya kwebhora kana rarova pasi

Kukurukurirana

(a) Nguva yebhora kusvika pasi (t)
Mhinduro yacho yakafanana nekusarudza nguva yechinhu chiri mukudonha kwakasununguka.

(b) Daro guru rakati twasu rinosvikwa nebhora (s)

Zvinozivikanwa kuti:
v_ox = 5 m/s (kumhanya kwekutanga munzira yakatwasuka)
t = masekondi maviri (nguva yebhora mudenga)
Akabvunzwa: s
Mhinduro:
v = s/t
s = vt = (5)(2) = mamita gumi
(c) Kumhanya kwebhora kana rarova pasi (v)_t)
v_ox =v_tx =v_x = 5 m/s
v_ty = …. ?
Kumhanya kwekupedzisira munzira yakatwasuka kunoverengwa sekunge kuri kuverenga kumhanya kwekupedzisira mukufamba kwemahara.
Zvinozivikanwa: v_oy = 0, g = 10, h = 20
Akabvunzwa: v_t
Mhinduro:

6. Bhora rinokandwa pakona ye30^o pamusoro pemunda nekumhanya kwekutanga kwe10 m/s. Sarudza:
(a) Kureba kwakanyanya
(b) Kumhanya kwebhora pakukwirira kwakanyanya
(c) Nguva iyo bhora rinosvika pamusoro pemunda
(d) Daro guru rakati twasu rinosvikwa nebhora

Kukurukurirana

(a) Kureba kwakanyanya
Mhinduro yacho yakafanana nekuona kukwirira kwakanyanya mukufamba kwakamira kumusoro.
Zvinozivikanwa kuti:
v_o = 10 m/s
v_oy =v_o chivi 30 = (10)(0,5) = 5 m/s
g = -10 m/s²
v_ty = 0
Akabvunzwa: h yepamusoro
(b) Kumhanya kwebhora pakukwirira kwakanyanya
Kumhanya pakukwirira kwepamusoro = kumhanya munzira yakatwasuka = ​​v_x.
v_x =v_o cos 30 = (10)(0,87) = 8,7 m/s
(c) Nguva yasara
Mhinduro yacho yakafanana nekusarudza nguva yekufamba wakamira uchikwira.
Zvinozivikanwa kuti:
v_oy =v_o chivi 30 = (10)(0,5) = 5 m/s
g = -10 m/s²
H = 0
Akabvunzwa: t
Mhinduro:
(d) Daro riri kure kwazvo rakatwasuka
x = v_x t = (8,7)(1) = mamita 8,7

7. Bhora rinokandwa kubva kumucheto kwechivako chakareba mamita gumi, richigadzira kona ye30°.^o kusvika yakatwasuka ine kumhanya kwekutanga kwe10 m/s.
(a) Kureba kwakanyanya kunoyerwa kubva pasi
(b) Nguva iyo bhora rinosvika pasi
(c) daro rakareba rakatarwa rakayerwa kubva kumucheto kwechivako

Kukurukurirana
(a) Kureba kwakanyanya kunoyerwa kubva pasi
Mhinduro yacho yakafanana nekuona kukwirira kwakanyanya mukufamba kwakamira kumusoro.
Verengai kukwirira kwebhora rakayerwa kubva kumucheto kwechivako iro bhora rakakandwa kubva kwariri.Ongorora kufamba kwebhora kubva panguva yarakandwa kusvika rasvika pakukwirira kwaro kwakanyanya.
Zvinozivikanwa kuti:
v_o = 10 m/s
v_oy =v_o pasina 30^o = (10)(0,5) = 5 m/s
v_ty = 0 (pahurefu hwakanyanya, chinhu chacho chinomira kwechinguva)
g = -10 m/s²
Akabvunzwa: h

(b) Nguva iyo bhora rinosvika pasi
Mhinduro yacho yakafanana nekuona nguva yekufamba uchikwira wakamira. Funga nezvekufamba kwebhora kubva panguva yarakandwa kusvika rasvika pasi.
Zvinozivikanwa kuti:
v_o = 10 m/s
v_oy =v_o pasina 30^o = (10)(0,5) = 5 m/s
g = -10 m/s²
h = -10 m (nzvimbo yekupedzisira iri pasi penzvimbo yekutanga ne10 m)
Akabvunzwa: t

Hazvigoneki kuti nguva ive ne negative value, saka t = 2 seconds.
(c) Daro rakareba rakati twasu rinoyerwa kubva kumucheto kwechivako
v_o = 10 m/s
v_x =v_ox =v_o cos 30 = (10)(0,87) = 8,7 m/s
t = masekondi maviri
Daro rakareba rakati twasu:

s = v _x t = (8,7)(2) = 17,4 mamita

Mibvunzo nezvekufamba kweparabolic / kufamba kweprojectile

1. Munhu anobata bhora pakakwirira kwemamita makumi maviri obva arikanda rakatwasuka mberi nekumhanya kwekutanga kwe2 m/s. Sarudza:
(a) Nguva iyo bhora rinosvika pasi
(b) Daro guru rakati twasu rinosvikwa nebhora
(c) Kumhanya kwebara kana rarova pasi
Shandisa g = 10 m/s²
Mhinduro:
(a) t = 1 sekondi
(b) s = 2 m
(c) v_t = 10,2 m/s

2. Bhora rinokandwa pakona ye60^o pamusoro pemunda nekumhanya kwekutanga kwe5 m/s. Sarudza:
(a) Kureba kwakanyanya
(b) Kumhanya kwebhora pakukwirira kwakanyanya
(c) Nguva iyo bhora rinosvika pamusoro pemunda
(d) Daro guru rakati twasu rinosvikwa nebhora
Shandisa g = 10 m/s²
Mhinduro:
(a) h = 1 m (yakatenderera)
(b) v = v_x = 2,5 m/s
(c) t = 0,87 s
(d) x = 2,175 m
3. Bhora rinokandwa kubva kumucheto kwechivako chakareba mamita gumi, richigadzira kona ye60°.^o kusvika yakatwasuka ine kumhanya kwekutanga kwe5 m/s.
(a) Kureba kwakanyanya kunoyerwa kubva pasi
(b) Nguva iyo bhora rinosvika pasi
(c) Daro rakareba rakati twasu rinoyerwa kubva kumucheto kwechivako
Shandisa g = 10 m/s²
Mhinduro:
(a) h = 5,95 m
(b) t = 1,5 s
(c) x = 3,75 m

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa