Muenzaniso wemibvunzo yeAnlined Plane

Mienzaniso 9 yeMibvunzo yeNdege Yakatsamira

Dzidza zviri mumitemo yaNewton , simba rakajairika uye simba rekukweshana kuti unzwisise zviri nani hurukuro yemubvunzo uyu.

1. Bhokisi re5 kg rinoburitswa rakatsetseka sezvakaratidzwa mumufananidzo! (g = 10 ms ⁻² uye tg 37 ^o = 3/4). Kukurumidza kwebhokisi 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/s ²

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 iw _x . Nzvimbo 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?

Σ F = ma

w _x = ma

30 = (5) a

a = 30 / 5

a = 6 m/s ²

Mhinduro chaiyo ndeiyi B.

2. Tarisa mufananidzo! Bhokisi rinotanga ramira, rozodhonzwa nesimba F richikwira rakaenzana nedenderedzwa rakanamira. Huremu hwebhokisi i8 kg, coefficient yekukweshana µ _s = 0,5 uye θ = 45 ^o . Kuti bhokisi rifambe rakakwira kumusoro chaiko, simba F rinofanira kuva….

A. 40 N

B. 60 N

C. 60√2 N

D. 80 N

E. 80√2 N

Kukurukurirana

Zvinozivikanwa kuti :

Kukosha kwekukweshana kwakasimba (µs ₎ = 0,5

Angle (θ) = 45 ^o

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

Huremu hwebhuroko (m) = makirogiramu masere

Kurema kwebhuroko (w) = mg = (8 kg)(10 m/s ² ) = 80 kg m/s ² = 80 Newtons

Mubvunzo : Hukuru hwesimba F zvekuti bhokisi richafamba richikwira

Mhinduro :

Bhokisi racho 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. Bhokisi rine huremu hwe8 kg rinoiswa panzvimbo yakakombama sezvakaratidzwa mumufananidzo unotevera. Simba shoma rekunze rinodiwa kudzivirira bhokisi kuti risatsvedzerere pasi ndere… (sin 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 kuti :

Huremu hwebhuroko (m) = 8 kg

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

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

Chivi 37 ^o = 0,6

Cos 37 ^o = 0,8

Kukweshana kwekinetic (µk ₎ = 0,1

N = w _y = w cos 37 ^o = (80)(0,8) = 64 Newtons

Mubvunzo : Simba rekunze shoma (F) rinodiwa kutsigira 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 Newtons

4. Chinhu chine huremu hwe5,0 kg chinodhonzwa netambo mudenga rakakombama nesimba re71 N (g = 10 ms s ^-2 , sin 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 kuti :

Huremu hwechinhu (m) = 5 kg

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

Chinhu chinorema 5,0 kg chinodhonzwa netambo ichikwira mudenga rakakombama nesimba re71 N (g = 10 ms s ^-2 , sin 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 kuti :

Huremu hwechinhu (m) = 5 kg

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

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

Simba F = 71 Newton

Chivi 37 ^o = 0,6

Cos 37 ^o = 0,8

Kukweshana kwemusanganiswa wekoefficient = 0,4

Mubvunzo : Kukurumidzisa kwechinhu (a)

Mhinduro :

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

Maitiro akajairwa :

N = w _y = 40

Kinetic friction force :

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/s ²

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! Bhokisi rinotanga ramira, rozodhonzwa nesimba F richikwira rakaenzana nedenderedzwa rakanamira. Huremu hwebhokisi i2 kg, coefficient of static friction = 0,3 uye angle = 45 ^o . Kuti bhokisi rifambe rakakwira kumusoro chaiko, simba F rinofanira kuva… g = 10 m/s ²

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 kwechimiro pakati peblock nenzvimbo yakatsamira iri 0,2√3 uye g = 10 ms ^–2 , saka simba rinobuda rinofambisa chinhu chacho…

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