Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro

1. Kureba kwegirafu (yakatwasuka) zvichienderana nenguva (yakatwasuka) sezvakaratidzwa mumufananidzo uri pazasi. Chinhu chiri padivi chinoratidzwa nenhamba…

Solution:

Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro 1

Nhamba 3, inoratidzwa nemutsetse wakatwasuka.

2. Kumhanya kwegirafu (kwakatwasuka) vs nguva (yakatambanuka) yekufamba pa kukurumidza nguva dzose. Chii chiri kukura kwekumhanya kwemhepo zvichienderana negirafu?

Solution:

Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro 3

3. Mumwe munhu akafamba nemotokari kubva kuguta A kuenda kuguta B, zvinoratidzwa negirafu iri pazasi. Mutsetse wakamira sekukurumidza uye mutsetse wakatwasuka senguva. Ndeipi daro rakafambwa nemotokari mumaminitsi makumi matatu kusvika makumi matanhatu.

Zvinozivikanwa: Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro 4

Kumhanya (v) = 40 km/awa

Nguva (t) = 60 - 30 = maminetsi 30 = maawa 0.5

Zvaidiwa: mufambo

Solution:

Kureba = kumhanya x nguva yekupfuura

Kureba = (40 km/awa)(0.5 awa)

Nhambwe = makiromita makumi maviri

4. Kumhanya kwegirafu (mutsetse wakatwasuka) zvichienzaniswa nenguva (mutsetse wakatwasuka) inozivisa kufamba kwemotokari kubva zororo wobva wafamba kusvikira mira kwemasekonzi masere, sezvakaratidzwa mumufananidzo uri pazasi.

Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro 5

Nhambwe inofambirwa nemota kubva pamasekonzi mashanu kusvika kumasekonzi masere yakaita sei?

Solution:

Nzvimbo 1 = nzvimbo yetriangle CD = ½ (6-5) (40-20) = ½ (1) (20) = 10

Nzvimbo 2 = nzvimbo yetriangle DE = ½ (8-6) (20-0) = ½ (2) (20) = 20

Nzvimbo 3 = Nzvimbo ye square = (6-5)(20-0) = (1)(20) = 20

Nhambwe inofambwa nemota kubva pamasekonzi mashanu kusvika kumasekonzi masere = 10 + 20 + 20 = mamita makumi mashanu.

5. Kureba kwemasekonzi mashanu ekupedzisira zvichienderana negirafu iri pazasi iri….

Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro 6

Solution:

Nzvimbo 1 = nzvimbo yetriangle = ½ (6-5) (40-20) = ½ (1) (20) = 10

Nzvimbo 2 = nzvimbo ye rectangle = (9-5)(20-0) = (4)(20) = 80

Nzvimbo 3 = nzvimbo yetriangle = ½ (10-9) (20-0) = ½ (1) (20) = 10

Kureba kwemasekonzi mashanu ekupedzisiras:

10 + 80 + 10 = mamita zana

6. Kumhanya kwegirafu vs nguva yekufamba kwemotokari kusina kufanana.

Kukurumidzisa kumwe chete kunoitika pa… Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro 7

Solution:

v_t =v_o + pa

v_t- v_o = pa

a = v_t- v_o /t

a = kukurumidza, v_t= kumhanya kwekupedzisira, v_o = kumhanya kwekutanga, t = nguva yekumhanya.

Kukurumidza AB = (25 – 20) / (20 – 0) = 5 / 20 = 1/4 = 0.25 m/s²

Kukurumidza BC = (45 – 25) / (40 – 20) = 20 / 20 = 1 m/s²

CD yekukurumidzira = (35 – 45) / (50 – 40) = 10 / 10 = 1 m/s²

Kukurumidza DE = (25 – 35) / (70 – 50) = 10 / 20 = 1/2 = 0.5 m/s²

Kukurumidza EF = (0 – 25) / (90 – 70) = 25 / 20 = 5/4 = 1.25 m/s²

7. Ndeipi daro rakafambwa mumasekonzi gumi?

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o= = 0 Mifananidzo yekufamba kwakatwasuka - matambudziko nemhinduro 8

Kumhanya kwekupedzisira (v)_t) = 20 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Zvaidiwa:

Nhanho yakafambwa mumasekonzi gumi

onawo Zvinhu zvinoshanduka zvakabatana netambo pamusoro pepulley muchina weAtwood - Matambudziko nemhinduro

Solution:

Maequations matatu ekufamba nekumhanya nguva dzose:

v_t =v_o + pa

d = v_o t + ½ pa²

v_t² =v_o² + 2 kushambadzira

v_t = kumhanya kwekupedzisira, v_o = kumhanya kwekutanga, a = kukurumidza, t = nguva, d = daro

Kukurumidzisa (a):

v_t =v_o + pa

20 = 0 + a (4)

20 = 4 a

a = 20 / 4

a = 5 m/s²

Kufamba daro mumasekondi gumi:

d = v_o t + ½ pa²

d = (0)(10) + ½ (5)(10)²

d = ½ (5)(100)

d = (5)(50)

d = mamita zana nemakumi mashanu

8. Kana chinhu chikakandwa chakamira pamusoro penyika, saka ndiyo girafu yekumhanya kunoitika nechinhu chacho.

Girafu yematambudziko ekufamba kwemutsara uye mhinduro 1

mhinduro

Kana chinhu chichifamba chakamira kumusoro, kukurumidza kunoitika nechinhu kunokonzerwa nekukwevera pasi. kukurumidza nekuda kwegiravhiti iri 9.8 m/s² uye divi rekumhanya nekuda kwesimba rinokwevera pasi riri pakati peNyika.

Kukurumidza kunogara kuchiitika kunoratidzwa nemutsetse wakatwasuka wakaenzana ne t axis uye wakatarisana ne a axis.

Mhinduro chaiyo ndiD.

9. Zvichibva pagirafu iri pazasi, sarudza daro rakafambwa nechinhu kwemasekondi makumi maviri.

A. 600 m Girafu yematambudziko ekufamba kwemutsara uye mhinduro 2

B. 500 m

C. 200 m

D. 100 m

mhinduro

Kufamba kwedaro pakati pemasekondi 0 - 10 = nzvimbo yesikweya + nzvimbo yetriangle

Nzvimbo yesikweya = (20-0)(10-0) = (20)(10) = 200 metres

Nzvimbo yetriangle = (1/2)(10-0)(40-20) = (1/2)(10)(20) = (5)(20) = mamita zana

Kufamba kwedaro remasekonzi 0 - 10 = mamita 200 + mamita 100 = mamita 300

Kufamba kwedaro remasekonzi gumi kusvika makumi maviri = nzvimbo yetriangle

Nzvimbo yetriangle = (1/2)(20-10)(40-0) = (1/2)(10)(40) = (5)(40) = mamita zana

Kufamba kwedaro remasekonzi 0 - 20:

Mamita mazana matatu + mamita mazana maviri = mamita mazana mashanu

Mhinduro chaiyo ndeiyi B.

10. Kufamba kwezvinhu zvitatu, chimwe nechimwe chinoratidzwa negirafu iri pazasi.

Girafu yematambudziko ekufamba kwemutsara uye mhinduro 3

Sarudza chirevo chakakodzera chekufamba kwezvinhu zvitatu zvese.

Girafu yematambudziko ekufamba kwemutsara uye mhinduro 4

Solution:

Girafu yechinhu 1 = Girafu yekukurumidzira (a) uye nguva (t)

Zvichibva pagirafu, chinhu chinofamba nekumhanya kunogara kuripo. Kumhanya kunogara kuripo zvinoratidzwa nemutsetse wakatwasuka wakatarisana nechikamu chekukurumidzira (a).

Girafu yechinhu 2 = Girafu yekumhanya (v) uye nguva (a)

Zvichibva pagirafu, chinhu chinofamba nevelocity isingachinji. Velocity isingachinji inoratidzwa nemutsetse wakatwasuka wakatarisana neaxis yevelocity (v).

Girafu yechinhu 3 = Girafu yekutama (x) nenguva (a)

Zvichibva pagirafu, chinoramba chichichinja kana chinhu chiri pazororo.

Mhinduro chaiyo ndeinoti A.

11. Nzvimbo yechinhu chiri kufamba nepa x-axis inoratidzwa negirafu rinotevera.

Girafu yematambudziko ekufamba kwemutsara uye mhinduro 5

Girafu inoratidza kuti chinhu chinofamba nemwero usingachinji pakati penguva….

onawo Kubonderana kweInelastic muchikamu chimwe chete - matambudziko nemhinduro

A. Masekondi mashanu kusvika gumi nemashanu nemasekondi makumi maviri nemashanu kusvika makumi matatu nemashanu

B. Masekondi 0-5 uye masekondi 35-40

C. Masekondi 15-25

D. Masekondi 0-5, masekondi 15-25 uye masekondi 35-40

Solution:

Masekondi 5-15 nemasekondi 25-35 = Kufamba kwechinhu nguva dzose hakuchinji kana chinhu chakazorora.

Masekondi 0-5, masekondi 15-25 uye masekondi 35-40 = chinhu chinofamba nekumhanya kwakafanana.

Mhinduro chaiyo ndiD.

12. Girafu rinotevera rinoratidza kumhanya kwebasa renguva rezvinhu zviviri zvinofamba zvakananga kubva panzvimbo imwe chete yekutanga. Mushure mekufamba kwemasekonzi t, zvinhu zvese zvinochinja nzvimbo imwe chete. Sarudza nguva uye kudzingiswa yechinhu chacho.

A. Masekondi mashanu nemamita makumi mashanu Girafu yematambudziko ekufamba kwemutsara uye mhinduro 6

B. Masekondi mashanu nemamita zana

C. Masekondi gumi nemamita makumi mashanu

D. Masekondi gumi nemamita zana

Solution:

Girafu 1 = kukurumidza nguva dzose

Nguva yepakati = masekondi gumi

Kureba = nzvimbo yetriangle = ½ (v)(t) = ½ (10-0)(20-0) = ½ (10)(20) = (5)(20) = mamita zana

Girafu 2 = kumhanya kunogara kuripo

Nguva yepakati = masekondi gumi

Kureba = nzvimbo ye sikweya = (v)(t) = (10-0)(10-0) = (10)(10) = mamita zana

Mhinduro chaiyo ndiD.

13Zvichibva pagirafu iri pazasi, nguva iyo chinhu chinofamba nekumhanya nguva dzose uye nguva iyo chinhu chiri kuona kumhanya kukuru ndeye ….

A. Pakati pe0 ne t₁, uye pakati pe t₁ uye t₂

B. Pakati pe t₁ uye t₂, uye pakati pe t₂ uye t₃

C. Pakati pe t₂ uye t₃, uye pakati pe t₁ uye t₂

D. Pakati pe0 ne t₁, uye pakati pe t₂ uye t₃

Solution:

Kana girafu iri mutsetse wakatwasuka zvinoreva kuti kumhanya kwacho hakuchinji, kana girafu iri slash zvinoreva kuti kumhanya kwacho hakuchinji. Mutsetse uri kurereka, kumhanya kwacho kuri kukura.

0 – t₁= kukurumidza nguva dzose

t₁ - t₂ = kumhanya kunogara kuripo

t₂ - t₃ = kukurumidza nguva dzose

Mhinduro chaiyo ndeiyi B.

1. Mubvunzo: Chii chinomiririrwa negirafu yenzvimbo vs. girafu yenguva? Pindura: Kutenuka kwenzvimbo vs. girafu yenguva kunomiririra kumhanya kwechinhu. Kutenuka kwakakora kunoratidza kumhanya kwakakwira, nepo mutsetse wakatsetseka (wakatsetseka) uchiratidza kuti chinhu chacho chakamira.

2. Mubvunzo: Pagirafu yekukurumidza vs. nguva, unoona sei kutama kwechinhu? Pindura: Kuchinja kwechinhu kunogona kuwanikwa nekuverenga nzvimbo iri pasi pekona (kana pakati pekona ne x-axis) pagirafu yekukurumidza vs. nguva.

3. Mubvunzo: Ungasiyanisa sei pakati pekufamba kwakafanana uye kusina kufanana panzvimbo negirafu yenguva? Pindura: Mugirafu yenzvimbo vs. nguva, kufamba kwakafanana kunomiririrwa nemutsetse wakatwasuka (kutsetseka kunogara kuripo), nepo kufamba kusina kufanana kuchimiririrwa nemutsetse wakakombama, zvichiratidza kuti kumhanya kuri kuchinja nekufamba kwenguva.

onawo Kushandiswa kwemutemo wekutanga wethermodynamics mune mamwe maitiro ethermodynamic (Isobaric Isothermal Isochoric)

4. Mubvunzo: Mutsetse wakatwasuka uri pagirafu yekukurumidza vs. nguva unoratidza chii? Pindura: Mutsetse wakatwasuka pagirafu yevelocity vs. time unoratidza kuti chinhu chiri kufamba nevelocity isingachinji, kureva kuti, hachisi kukurumidza kana kudzikamisa speed.

5. Mubvunzo: Kana girafu yekukurumidza vs. nguva iri pasi pe axis yenguva (negative velocity), inorevei? Pindura: Kana girafu yekukurumidza vs. nguva iri pasi pe axis yenguva, inoratidza kuti chinhu chiri kufamba nenzira yakatarisana negwara rekutarisa (kazhinji kacho inotorwa seyakanaka).

6. Mubvunzo: Kukurumidza kunomiririrwa sei pagirafu yekukurumidza vs. nguva? Pindura: Pagirafu yekukurumidza vs. nguva, kukurumidza kunomiririrwa nekutsetseka kwegirafu. Kutsetseka kwakanaka kunoratidza kukurumidza kwakanaka, kutsetseka kusina kunaka kunoratidza kukurumidza kusina kunaka (kana kudzikira), uye mutsetse wakatsetseka unoratidza kusamhanya.

7. Mubvunzo: Ko girafu yemufananidzo wemufananidzo pagirafu yenzvimbo vs. nguva inoratidza chii? Pindura: Mutsetse weparabolic uri pagirafu yenzvimbo vs. nguva unoratidza kuti chinhu chacho chiri pasi pekumhanya nguva dzose. Chimiro chemutsetse wacho chakafanana nequadratic, chinoenderana ne kinematic equation $s =v o t + 1/2 a t^{2}$ .

8. Mubvunzo: Mugirafu yenzvimbo vs. nguva, ungaziva sei kana chinhu chiri kufamba mberi kana kumashure zvichienderana nekwachinotangira? Pindura: Kana mutsetse uri panzvimbo uchienzanisa nenguva uri kukwira (uchienda kumusoro), zvinoratidza kuti chinhu chiri kufamba mberi (kana kuti munzira yakanaka). Kana mutsetse uri kudzika (uchienda pasi), zvinoratidza kuti chinhu chiri kufamba kumashure (kana kuti munzira yakaipa) zvichienzaniswa nenzvimbo yacho yekutanga.

9. Mubvunzo: Chinhu chinodonha chichitaridzika sei pagirafu yekukurumidza vs. nguva? Pindura: Kana chinhu chichidonha nemhepo (tisingateereri kudzivirira kwemhepo), girafu yekukurumidza vs. nguva ingave mutsetse wakatwasuka une mutserendende wakanaka (kana uchitangira pakuzorora) nekuda kwekumhanya kunogara kuripo nekuda kwesimba regiravhiti. Mutserendende unomiririra kukosha kwekumhanya, uko paNyika kuri padyo $9.8 m / s^{2}$ .

10. Mubvunzo: Kana chinhu chiri pazororo, girafu yacho yekumhanyisa kana nguva yaizotaridzika sei? Pindura: Kune chinhu chiri panze, girafu yekukurumidzira kwayo vs. girafu yenguva ingave mutsetse wakatwasuka pane axis yenguva, zvichiratidza kuti kukwidza kuri zero mukati menguva yese.