Isibonelo sokunyakaza okuqondile okusheshiswa ngokulinganayo

Izibonelo eziyi-10 zokunyakaza okuqondile okusheshiswa ngokulinganayo

1. Imoto iqala ingami. Ngemva kwemizuzwana emi-10, ijubane lemoto liyakhuphuka lifike ku-20 m/s. Nquma ukusheshisa kwemoto!
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Ayikho ifomula (sebenzisa i-logic) :
Ijubane lemoto lishintsha libe ngu-20 m/s ngemva kwemizuzwana eyi-10. Lokhu kusho ukuthi ijubane lemoto likhuphuka ngo-2 m/s njalo ngomzuzwana. Ngakho-ke, ukusheshisa kwemoto kungu-2 m/s ngomzuzwana = 2 m/s ngomzuzwana = 2 m/s².
Ukusebenzisa ifomula :
Kuyaziwa ukuthi:
Ijubane lokuqala (v)_o) = 0 (imoto ayimi)
Isikhawu sesikhathi (t) = 10 imizuzwana
Ijubane lokugcina (v)_t) = 20 m/s
Kubuziwe: ukusheshisa kwemoto (a)
Impendulo:
Ngoba kwaziwa ukuthi v_oe_t, t bese ubuza a bese usebenzisa ifomula ye-GLBB v_t = vo + at
v_t =v_o + ku-
20 = 0 + (a)(10)
20 = 10 a
a = 20/10
a = 2 m/s²
Ubukhulu bokusheshisa kwemoto bungama-2 m/s²Lokhu kusho ukuthi ijubane lemoto likhuphuka ngama-2 m/s njalo ngomzuzwana owodwa.

2. Imoto iqala ukuhamba ngesivinini esingama-30 m/s inciphisa isivinini sayo ize ime ngemva kwemizuzwana emi-10. Ubukhulu bokwehla kwejubane lemoto...
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Ngaphandle kwefomula (sebenzisa i-logic):
Ijubane lemoto lehla kusuka ku-30 ​​m/s kuya ku-0 m/s ngemizuzwana eyi-10. Lokhu kusho ukuthi ijubane lemoto lehla ngo-3 m/s njalo ngomzuzwana. Ngakho-ke, ukwehla kwejubane lemoto kungama-2 m/s ngomzuzwana = 3 m/s.².
Ukusebenzisa ifomula:
Kuyaziwa ukuthi:
Ijubane lokuqala (v)_o) = 30 m/s
Ijubane lokugcina (v)_t= = 0
Isikhawu sesikhathi (t) = 10 imizuzwana
Kubuziwe: ukwehla kwejubane (a)?
Impendulo:
Ngoba kwaziwa ukuthi v_oe_t, t bese ubuza a bese usebenzisa ifomula ye-GLBB v_t = vo + at
v_t =v_o + ku-
0 = 30 + (a)(10)
– 30 = 10 a
a = – 30/10
a = 3 m/s²
Ubukhulu bokusheshisa kwemoto bungu-3 m/s²Lokhu kusho ukuthi ijubane lemoto lehla ngama-3 m/s njalo ngomzuzwana. Uphawu olubi lubonisa ukuthi ijubane lemoto liyehla.

3. Into eqale iphumule iqala ukuhamba ngesivinini esingaguquki esingu-4 m/s.². Nquma isivinini kanye nebanga elihanjiwe ngemva kwemizuzwana eyi-10.
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(a) Isivinini
Ukusheshisa 4 m/s² Lokhu kusho ukuthi ijubane lento likhuphuka ngo-4 m/s njalo ngomzuzwana owodwa. Ngemva kwemizuzwana emibili, ijubane lento liba ngu-8 m/s. Ngemva kwemizuzwana eyi-10, ijubane lento liba ngu-40 m/s.
(b) Ibanga elihanjiwe
Ijubane lokuqala (v)_o= = 0
Ijubane lokugcina (v)_t) = 40 m/s
a = 4 m/s²

Amamayela:
s = v_o t + ½ ku² = 0 + ½ (4)(10²) = (2)(100) = amamitha angu-200
4. Into ehamba ngesivinini esingaguquki esingu-10 m/s ibhekana nokwehla okungaguquki okungu-2 m/s.² kuze kube yilapho ima. Nquma isikhathi kanye nebanga elihanjwa yimoto ngaphambi kokuma.
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Kuyaziwa ukuthi:
Ijubane lokuqala (v)_o) = 10 m/s
Ukusheshisa (a) = -2 m/s² (uma yehlisa ijubane khona-ke inikezwa uphawu olubi)
Ijubane lokugcina (v)_t) = 0 (into iyeka ukuhamba)
Umbuzo: isikhathi esinqunyiwe kanye nebanga elihanjiwe ngaphambi kokuba imoto ime.
Impendulo:
(a) Isikhawu sesikhathi
Ngoba kwaziwa ukuthi v_oe_t, a bese ubuza u-t bese usebenzisa ifomula ye-GLBB v_t =v_o + ku-
v_t =v_o + ku-
0 = 10 + (-2)(t)
0 = 10 – 2 t
10 = 2 t
t = 10 / 2 = 5 imizuzwana
Isikhathi esiphakathi ngaphambi kokuma = imizuzwana emi-5.
(b) Ibanga elihanjiwe
v_t² =v_o² + ama-ekseli ama-2
= 0 10² + 2(-2) s
0 = 100 – 4 imizuzwana
100 = 4 imizuzwana
s = 100 / 4 = amamitha angu-25
Ibanga imoto elihambile ngaphambi kokuma lalingamamitha angu-25

5. Imoto ehamba ngesivinini esingama-40 m/s ekuqaleni ithola ukwehla okuqhubekayo kwama-4 m/s.². Nquma isivinini kanye nebanga elihanjwe yimoto ngemva kokwehla kwejubane imizuzwana emi-10.
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Kuyaziwa ukuthi:
Ijubane lokuqala (v)_o) = 40 m/s
Ukusheshisa (a) = -4 m/s²
Isikhawu sesikhathi (t) = 10 imizuzwana
Kubuziwe: isivinini (v)_t) kanye nebanga (ama) ngemva kokunciphisa ijubane imizuzwana eyi-10
Impendulo:
(a) Isivinini sokugcina
v_t =v_o + ku = 40 + (-4)(10) = 40 – 40 = 0 m/s
Ngemva kokwehlisa ijubane imizuzwana eyi-10, ijubane lemoto liyashintsha libe ngu-0 noma imoto ima.
(b) Ibanga elihanjiwe
s = v_o t + ½ ku² = (40)(10) + ½ (-4)(10²) = 400 + (-2)(100) = 400 – 200 = amamitha angu-200
Ibanga elihanjwa yimoto ngemva kokwehlisa ijubane imizuzwana eyi-10 ize ime lingamamitha angu-200.
6. Ijubane (v) lento ehamba emgqeni oqondile lihambisana nesikhathi (t) njengoba kuboniswe kugrafu ye-v-t. Ibanga elihanjwe yinto ngemizuzwana eyi-5…

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Ibanga elihanjiwe (ama) = vt = (10-0)(5-0) = (10)(5) = amamitha angu-50
7. Igrafu eseceleni ibonisa ukunyakaza kwemoto ehamba emgqeni oqondile ngesivinini esingaguquki. Ibanga elihanjwe yimoto ngemizuzwana emi-4….

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Ibanga elihanjiwe = indawo yesikwele + indawo yonxantathu
Ibanga elihanjiwe = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = amamitha angu-96
8. Igrafu ohlangothini ikhombisa imoto ehamba emgqeni oqondile ngesivinini esingaguquki. Ibanga elihanjwe yimoto ngemizuzwana emi-4….

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Ibanga elihanjiwe = indawo kanxantathu = ½ (4-0)(8-0) = ½ (4)(8) = amamitha ayi-16

9. Bheka ithebula elilandelayo!

Ithebula elingenhla libonisa izinto ezintathu ezihamba emgqeni oqondile ngesivinini esingaguquki esimboza ibanga elifanayo. Ijubane lokugcina u-P kanye nejubane lokuqala u-Q lezinto yilezi….

A. 20 ms^-1 kanye nama-ms angu-20^-1

B. 20 ms^-1 kanye nama-ms angu-28^-1

C. 20 ms^-1 kanye nama-ms angu-40^-1

D. 40 ms^-1 kanye nama-ms angu-20^-1

E. 40 ms^-1 kanye nama-ms angu-40^-1

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Ibanga elihanjiwe liyafana, ngakho-ke qala ubale ibanga elihanjiwe ngento engunombolo 3.

Ibanga elihanjwe ngento engunombolo 3:

Kuyaziwa ukuthi:

Ijubane lokuqala (v _o ) = 0 m/s

Ijubane lokugcina (v)_t) = 30 m/s

Ukusheshisa (a) = 3 m/s²

Kubuziwe Ibanga

Impendulo:

v _t ² = v _o ² + 2 njengoba

v_t² - v_o² = ama-axle ama-2

30² - 0² = 2 (3) s

900 - 0 = 6 imizuzwana

900 = 6 imizuzwana

s = 900 / 6

s = amamitha angu-150

Ijubane lokugcina lento engunombolo 1:

Kuyaziwa ukuthi:

Ijubane lokuqala (v _o ) = 20 m/s

Ukusheshisa (a) = 4 m/s²

Ibanga (ama) = amamitha ayi-150

Kubuziwe : Ijubane lokugcina (v_t)

Impendulo:

v _t ² = v _o ² + 2 njengoba

v_t² = 20² + 2 (4)(150)

v_t² = 400 1200 +

v _t ² = 1600

v _t = 40 m/s

Ijubane lokuqala lento inombolo 2:

Kuyaziwa ukuthi:

Ijubane lokugcina (v)_t) = 50 m/s

Ukusheshisa (a) = 3 m/s²

Ibanga (ama) = amamitha ayi-150

Kubuziwe : Ijubane lokuqala (v)_o)

Impendulo:

v _t ² = v _o ² + 2 njengoba

v_t² – 2 njengo = v_o²

50² – 2(3)(150) = v_o²

2500 – 900 = v_o²

I-1600 = v_o²

v_o = 40m/s

Impendulo efanele ngu-E.

10. Izinto ezintathu zihamba ngomugqa oqondile ngesivinini esingaguquki endizeni evundlile. Zonke izinto ezintathu zihamba ngokusheshisa okufanayo. Ubukhulu bezinto ezintathu ngemva kwemizuzwana eyi-10 yokunyakaza buboniswe kuthebula elilandelayo:

Idatha ye-P ne-Q kuthebula inenani….

A. 6 no-140

B. 6 no-120

C. 4 no-120

D. 4 no-100

E. 1 kanye no-100

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Ukusheshisa kwezinto ezintathu kuyafana, ngakho-ke qala ubale ukusheshisa kwento 1.

Ukusheshisa kwento 1:

Kuyaziwa ukuthi:

Ijubane lokuqala (v _o ) = 2 m/s

Ijubane lokugcina (v)_t) = 22 m/s

Ibanga (ama) = amamitha ayi-120

Kubuziwe Ibanga

Impendulo:

v _t ² = v _o ² + 2 njengoba

v_t² - v_o² = ama-axle ama-2

22² - 2² = 2 (120)

484 - 4 = 240 a

480 = 240 a

a = 480/240

a = 2 m/s ²

Ijubane lokuqala lento 2:

Kuyaziwa ukuthi:

Ukusheshisa (a) = 2 m/s²

Ijubane lokugcina (v)_t) = 24 m/s

Ibanga (ama) = amamitha ayi-140

Kubuziwe : Ijubane lokuqala (v)_o)

Impendulo:

v _t ² = v _o ² + 2 njengoba

24² =v_o² + 2 (2)(140)

576 = v_o² 560 +

576 – 560 = v_o²

16 = v_o²

v_o = 4m/s

Ibanga lento 3:

Kuyaziwa ukuthi:

Ijubane lokuqala (v _o ) = 0 m/s

Ijubane lokugcina (v)_t) = 20 m/s

Ukusheshisa (a) = 2 m/s²

Kubuziwe Ibanga (s)

Impendulo:

v _t ² = v _o ² + 2 njengoba

20² = 0² + 2 (2) s

20² = 2 (2) s

400 = 4 s

s = 400/4

s = amamitha angu-100

Impendulo efanele ngu-D.

Imibuzo mayelana nokunyakaza okuqondile okusheshiswa ngokulinganayo

1. Imoto iqala ingami. Ngemva kwemizuzwana emi-5, ijubane lemoto liyakhuphuka lifike ku-15 m/s. Nquma ukusheshisa kwemoto!
2. Imoto iqala ukuhamba ngesivinini esingama-24 m/s inciphisa isivinini sayo ize ime ngemva kwemizuzwana emi-3. Ubukhulu bokwehla kwejubane lemoto...
3. Into eqale iphumule iqala ukuhamba ngesivinini esingaguquki esingu-5 m/s.². Nquma isivinini kanye nebanga elihanjiwe ngemva kwemizuzwana eyi-10.
4. Into ehamba ngesivinini esingaguquki esingu-5 m/s ibhekana nokwehla okungaguquki okungu-5 m/s.² kuze kube yilapho ima. Nquma isikhathi kanye nebanga elihanjwa yimoto ngaphambi kokuma.
5. Imoto ehamba ngesivinini esingama-30 m/s ekuqaleni ithola ukwehla okuqhubekayo kwama-5 m/s.². Nquma isivinini kanye nebanga elihanjwe yimoto ngemva kokwehla kwejubane imizuzwana emi-5.
6. Ijubane (v) lento ehamba emgqeni oqondile lihambisana nesikhathi (t) njengoba kuboniswe kugrafu ye-v-t. Ibanga elihanjwe yinto ngemizuzwana eyi-10…

7. Igrafu eseceleni ibonisa ukunyakaza kwemoto ehamba emgqeni oqondile ngesivinini esingaguquki. Ibanga elihanjwe yimoto ngemizuzwana emi-4….

8. Igrafu ohlangothini ikhombisa imoto ehamba emgqeni oqondile ngesivinini esingaguquki. Ibanga elihanjwe yimoto ngemizuzwana emi-4….

[IsiNgisi: Ukusheshisa okuqhubekayo - izinkinga nezixazululo]