Muenzaniso wemibvunzo yeAnlined Plane

Mienzaniso 9 yeMibvunzo yeNdege Yakatsamira

Dzidza zvinyorwa Mitemo yaNewton , simba rakajairika dhani simba rekukweshana kuti tinzwisise zviri nani hurukuro pamusoro penyaya iyi.

1. Bhokisi rine huremu hwe5 kg rinoburitswa rakatsetseka sezvakaratidzwa mumufananidzo! (g = 10 ms ^-2 uye tg 37 ^o = 3/4). Kukurumidza kweblock iri…

A. 4,5 ms^-2

B. 6,0 ms^-2

C. 7,5 ms^-2

D. 8,0 ms^-2

E. 10,0 ms^-2

Kukurukurirana

Zvinozivikanwa kuti:

m = 5 kg, g = 10 m/s²

w = mg = (5)(10) = 50 N

kureba kwerutivi rwezasi = 4

kureba kwerutivi rwakamira = 3

Sezvo divi repasi = 4 uye divi rakamira = 3 saka hypotenuse = 5. Unogona kuzviratidza uchishandisa fomura yePythagorean.

Mubvunzo: kukurumidza kwebhuroko (a)?

Mhinduro:

Simba rinoita kuti bhokisi rifambe ndi w_xNzvimbo yakakotama yakatsetseka saka hapana kukweshana.

w_x = chivi θ = (w)(divi rakamira / hypotenuse)

w_x = (50)(3/5)

w_x = 30 Newton

Chii chinonzi kukurumidza (a) kwebhuroko?

ΣF = ma

w_x = amai

30 = (5) a

a = 30 / 5

a = 6 m/s²

Mhinduro chaiyo ndeiyi B.

2. Tarisa mufananidzo! Bhokisi rinotanga ramira, rozodhonzwa kumusoro nesimba F rakafanana nedenderedzwa. Huremu hwebhokisi i8 kg, coefficient of friction i µ_s = 0,5 uye θ = 45^oKuti bhokisi rifambe richikwira, simba F rinofanira kunge riri….

A. 40 N

B. 60 N

C. 60√2 N

D. 80 N

E. 80√2 N

Kukurukurirana

Zvinozivikanwa :

Kukosha kwekukweshana kwakasimba (µ)_s= = 0,5

Angle (θ) = 45^o

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²

Huremu hwebhuroko (m) = makirogiramu masere

Kurema kwebhuroko (w) = mg = (8 kg)(10 m/s²) = 80 kg m/s² = 80 Newton

Akabvunzwa : Hukuru hwesimba F kuitira kuti bhokisi rifambe richikwira

Jawab :

Bhiriji rekurudyi richakwira kumusoro kana F ≥ w_x + f_s. 

Chikamu chegiravhiti chakafanana nendege yakatsamira :

w_x = w chivi θ = (80)(chivi 45) = (80)(0,5√2) = 40√2

Chikamu chegiravhiti chakatarisana nendege yakatsamira :

w_y = w cos θ = (80)(cos 45) = (80)(0,5√2) = 40√2

Simba rakajairika :

N = w_y = 40√2

Simba rekukweshana rinomira :

f_s = µ_s N = (0,5)(40√2) = 20√2

Hukuru hwesimba F kuitira kuti bhokisi rifambe richikwira :

F ≥ w_x + f_s

F ≥ 40√2 + 20-2

F ≥ 60√2 Newton

Mhinduro chaiyo ndiC.

3.BBhokisi rine huremu hwe8 kg rinoiswa panzvimbo yakakombama sezvakaratidzwa mumufananidzo unotevera. Simba shoma rekunze rinodiwa kudzivirira bhokisi kuti risatsvedzerere pasi nderi… (chivi 37)^o = 0,6, cos 37^o = 0,8, g = 10 ms^-2, µ_k = 0,1)

A. 6,4 N

B. 4,6 N

C. 48,5 N

D. 54,4 N

E. 68,8 N

Kukurukurirana

Zvinozivikanwa :

Huremu hwebhuroko (m) = 8 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²

Kurema kwebhuroko (w) = mg = (8)(10) = 80 Newton

Pasina makumi matatu nemaviri^o = 0,6

Kos 37^o = 0,8

Kukweshana kwekinetic (µ)_k= = 0,1

N = w_y = w cos 37^o = (80)(0,8) = 64 Newton

Akabvunzwa : Simba rekunze shoma (F) rinobata bhokisi kuitira kuti bhokisi risatsvedzerere pasi

Jawab :

Bhokisi haritsvedzeri pasi kana F = w_x

Chikamu chegiravhiti chakafanana nendege yakatsamira :

w_x = w chivi θ = (80)(chivi 37) = (80)(0,6) = 48

f_k = µ_k N = (0,1)(64) = 6,4

Simba shoma F kuitira kuti bhokisi risatsvedzerere pasi :

F + f_k - w_x = 0

F = w_x - f_k = 48 – 6,4 = 41,6 Newton

4. Chinhu chine huremu hwe5,0 kg chinodhonzwa netambo ichikwira mudenga rakakombama nesimba re71 N (g = 10 ms s).^-2, chivi 37^o = 0,6, cos 37^o = 0,8). Kana coefficient yekukakavadzana pakati pechinhu nendege iri 0,4, kukurumidza kunoitika nechinhu chacho…

A. 0,5 ms^-2

B. 2 ms^-2

C. 2,5 ms^-2

D. 3 ms^-2

E. 5 ms^-2

Kukurukurirana

Zvinozivikanwa :

Huremu hwechinhu (m) = 5 kg

4. 2012/2013 SMA Physics National Exam Mibvunzo SA 67 Nhamba 5

Chinhu chine huremu hwe5,0 kg chinodhonzwa netambo ichikwira mudenga rakakombama nesimba re71 N (g = 10 ms s).^-2, chivi 37^o = 0,6, cos 37^o = 0,8). Kana coefficient yekukakavadzana pakati pechinhu nendege iri 0,4, kukurumidza kunoitika nechinhu chacho…

A. 0,5 ms^-2

B. 2 ms^-2

C. 2,5 ms^-2

D. 3 ms^-2

E. 5 ms^-2

Kukurukurirana

Zvinozivikanwa :

Huremu hwechinhu (m) = 5 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²

Kurema kwechinhu (w) = mg = (5)(10) = 50 Newtons

Simba F = 71 Newton

Pasina makumi matatu nemaviri^o = 0,6

Kos 37^o = 0,8

Kukweshana kwemusanganiswa wekoefficient = 0,4

Akabvunzwa Kukurumidzisa kwechinhu (a)

Jawab :

Simba Rinoguma

Kutanga verenga simba rinobuda richishanda pachinhu chacho.

Chikamu chegiravhiti chakafanana nendege yakatsamira :

w_x = w chivi θ = (50)(chivi 37) = (50)(0,6) = 30

Chikamu chegiravhiti chakatarisana nendege yakatsamira :

w_y = w cos θ = (50)(cos 37) = (50)(0,8) = 40

Simba rakajairika :

N = w_y = 40

Kinetic kukweshana simba :

f_k = µ_k N = (0,4)(40) = 16

Simba rinobuda rinoshanda pane imwe nzvimbo yakatsamira:

∑F = F – w_x - f_k = 71 – 30 – 16 = 25 Newtons

Kukurumidzisa kwechinhu

Kukurumidza kwechinhu kunoverengerwa uchishandisa fomura yechipiri yaNewton:

a = ∑F / m = 25 / 5 = 5 m/s²

Mhinduro chaiyo ndiE.

5.
Tarisa mufananidzo! Chivharo chinotanga chakamira, chobva chadhonzwa simba rekumusoro F rakafanana nendege yakatsamiraHuremu hwebhokisi i8 kg, chiyero chekukweshana iµ_s = 0,5 uye θ = 45^oKuti bhokisi rifambe richikwira, simba F rinofanira kunge riri….

A. 40 N
B. 60 N
C. 60√2 N
D. 80 N
E. 80√2 N

Kukurukurirana
Zvinozivikanwa :
Koefficient kukweshana kwemamiriro ezvinhu (µ_s= = 0,5
Angle (θ) = 45^o
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Huremu hwebhuroko (m) = makirogiramu masere
Kurema kwebhuroko (w) = mg = (8 kg)(10 m/s²) = 80 kg m/s² = 80 Newton
Akabvunzwa : Hukuru hwesimba F kuitira kuti bhokisi rifambe richikwira
Jawab :

Bhiriji rekurudyi richakwira kumusoro kana F ≥ w_x + f_s.
Chikamu chegiravhiti chakafanana nendege yakatsamira :
w_x = w chivi θ = (80)(chivi 45) = (80)(0,5√2) = 40√2
Chikamu chegiravhiti chakatarisana nendege yakatsamira :
w_y = w cos θ = (80)(cos 45) = (80)(0,5√2) = 40√2
Simba rakajairika :
N = w_y = 40√2
Simba rekukweshana rinomira :
f_s = µ_s N = (0,5)(40√2) = 20√2
Hukuru hwesimba F kuitira kuti bhokisi rifambe richikwira :
F ≥ w_x + f_s
F ≥ 40√2 + 20-2
F ≥ 60√2 Newton
Mhinduro chaiyo ndiC.

6.
Bhokisi rine huremu hwe8 kg rinoiswa panzvimbo yakakombama sezvakaratidzwa mumufananidzo uri pazasi. Simba shoma rekunze rinodiwa kudzivirira bhokisi kuti risatsvedzerere pasi nderiri… (chivi 37)^o = 0,6, cos 37^o = 0,8, g = 10 ms^-2, µ_k = 0,1)

A. 6,4 N
B. 4,6 N
C. 48,5 N
D. 54,4 N
E. 68,8 N

Kukurukurirana
Zvinozivikanwa :
Huremu hwebhuroko (m) = 8 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Kurema kwebhuroko (w) = mg = (8)(10) = 80 Newton
Pasina makumi matatu nemaviri^o = 0,6
Kos 37^o = 0,8
Kukweshana kwekinetic (µ)_k= = 0,1
Akabvunzwa : Simba rekunze shoma (F) rinobata bhokisi kuitira kuti bhokisi risatsvedzerere pasi
Jawab :
Bhokisi haritsvedzeri pasi kana F = w_x
Chikamu chegiravhiti chakafanana nendege yakatsamira :
w_x = w chivi θ = (80)(chivi 37) = (80)(0,6) = 48
f_k = µ_k N = (0,1)(64) = 6,4
Simba shoma F kuitira kuti bhokisi risatsvedzerere pasi :
F + f_k - w_x = 0
F = w_x - f_k = 48 – 6,4 = 41,6 Newton

7.
Chinhu chine huremu hwe5,0 kg chinodhonzwa netambo ichikwira mudenga rakakombama nesimba re71 N (g = 10 ms s).^-2, chivi 37^o = 0,6, cos 37^o = 0,8). Kana coefficient yekukakavadzana pakati pechinhu nendege iri 0,4, kukurumidza kunoitika nechinhu chacho…
A. 0,5 ms^-2
B. 2 ms^-2
C. 2,5 ms^-2
D. 3 ms^-2
E. 5 ms^-2
Kukurukurirana
Zvinozivikanwa :
Huremu hwechinhu (m) = 5 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Kurema kwechinhu (w) = mg = (5)(10) = 50 Newtons
Simba F = 71 Newton
Pasina makumi matatu nemaviri^o = 0,6
Kos 37^o = 0,8
Kukweshana kwemusanganiswa wekoefficient = 0,4
Akabvunzwa Kukurumidzisa kwechinhu (a)
Jawab :
Simba Rinoguma
Kutanga verenga simba rinobuda richishanda pachinhu chacho.
Chikamu chegiravhiti chakafanana nendege yakatsamira :
w_x = w chivi θ = (50)(chivi 37) = (50)(0,6) = 30
Chikamu chegiravhiti chakatarisana nendege yakatsamira :
w_y = w cos θ = (50)(cos 37) = (50)(0,8) = 40
Simba rakajairika :
N = w_y = 40
Kinetic kukweshana simba :
f_k = µ_k N = (0,4)(40) = 16
Simba rinobuda rinoshanda pane imwe nzvimbo yakatsamira:
∑F = F – w_x - f_k = 71 – 30 – 16 = 25 Newtons
Kukurumidzisa kwechinhu
Kukurumidza kwechinhu kunoverengerwa uchishandisa fomura yechipiri yaNewton:
a = ∑F / m = 25 / 5 = 5 m/s²
Mhinduro chaiyo ndiE.

8. Tarisa mufananidzo! Bhurukwa rinotanga ramira, rozodhonzwa nesimba F richikwira rakaenzana nedenderedzwa rakanamira. Huremu hwebhurukwa i2 kg, coefficient of static friction = 0,3 uye angle = 45^oKuti bhokisi rifambe richikwira, simba F rinofanira kuva… g = 10 m/s²

Kukurukurirana
Zvinozivikanwa kuti:
m = 2 kg, g = 10 m/s², = 45^o, μ_s = 0,3
Mubvunzo: Kuti bhokisi rifambe richikwira kumusoro chaiko, simba F rakakura sei?
Mhinduro:

Ruzivo: F = simba rekudhonza, w = simba rekukwevera pasi, w_x = chikamu chehuremu hwebhuroko rakafanana nepamusoro pendege yakatsamira, w_y = chikamu chehuremu hwebhuroko rakatarisa pamusoro pendege yakakotama, N = simba rakajairika, f_s = simba rekukweshana risingachinji.

Mumubvunzo uyu, coefficient ye static friction inozivikanwa, izvi zvinoreva kuti pamusoro penzvimbo yakatsveyama yakashata zvekuti pane simba rekukweshana rinodzivisa kufamba kweblock.
Kuti bhokisi rifambe richikwira, simba F rinofanira kuenzana na w._x +f_sChinhu chinokwira kumusoro kana F yakakura kupfuura w_x +f_s.

w = mg = (2)(10) = 20 Newton
w_x = w chivi 45^o = (20)(½ √2) = 10√2 MaNewton
w_y = w cos 45^o = (20)(½√2) = 10√2 MaNewton
N = w_y = 10√2
f_s = μ_s N = (0,3)(10√2) = 3√2 MaNewton

Kuti bhokisi rifambe richikwira kumusoro ipapo:
F = w_x +f_s = 10√2 + 3√2= 13√2 MaNewton
Mhinduro chaiyo ndiC.

9. Chinhu chine huremu hwe2 kg chinoiswa panzvimbo yakatsamira sezvakaratidzwa mumufananidzo uri pazasi. Kana coefficient yekukakavadzana kwakagadzika pakati peblock nenzvimbo yakatsamira iri 0,2√3 na g = 10 ms^-2, ipapo simba rinobuda rinofambisa chinhu chacho ndiro...

Kukurukurirana
Zvinozivikanwa kuti:
m = 2 kg, g = 10 m/s², = 30^o, μ_s = 0,2√3
Akabvunzwa: Simba rinoita kuti chinhu chifambiswe rinobuda riini?

Mhinduro:

Kukweshana kunogara kuchidzivisa kufamba kwechinhu, saka divi resimba rekukweshana rinoratidzwa serinopesana nedivi rekufamba kwechinhu. Chinhu chinofungidzirwa kuti chiri kufamba pasi, saka simba rekukweshana rinoratidzwa serinokwira kumusoro. Chinhu chinofungidzirwa kuti chiri kufamba pasi nekuti hapana simba rinochidhonza kumusoro.
w = mg = (2)(10) = 20 Newton
w_x = w chivi 30^o = (20)(½) = 10 Newton
w_y = w cos 30^o = (20)(½ √3) = 10√3 MaNewton
N = w_y = 10√3 Newton
f_s = μ_s N = (0,2√3)(10√3) = (2)(3) = 6 Newtons
Simba rinoita kuti chinhu chifambiswe rinobuda nderinotevera:
F = w_x - f_s = 10 – 6 = 4 Newton
w_x yakakura kupfuura f_s saka chinhu chinodzika pasi, nenzira ya w_x.
Mhinduro chaiyo ndiA.

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa