Imibuzo eyisibonelo ngomthetho wokulondolozwa kwamandla omshini

Izibonelo eziyi-16 zemibuzo ngoMthetho Wokulondolozwa Kwamandla Emishini

Umthetho wokulondolozwa kwamandla omshini ekuhambeni kokuwa okukhululekile

1. Ikhukhunathi enesisindo esingamakhilogremu ama-2 liwa ngokukhululeka lisuka ekuphakameni kwamamitha ayi-6. Amandla e-kinetic ekhukhunathi uma lifika phansi angu… g = 10 m/s²
Ingxoxo
I-Diketahui :
Isisindo sikakhukhunathi (m) = 2 kg
Ukuphakama (h) = amamitha ayi-6
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe amandla e-kinetic (EK)
Jawab :

Amandla okuqala omshini
Uma into ikwi-free fall, ayinaso isivinini sokuqala. Ngenxa yokuthi ayikho isivinini sokuqala, awekho amandla okuqala e-kinetic. Ekuqaleni, into iphakeme ngamamitha ayi-6, ngakho-ke, into inamandla okuqala okudonsela phansi. Ngakho-ke, amandla okuqala omshini (EM) akhona._o) amandla adonsela phansi (EP).
EM_o = EP = mgh = (2)(10)(6) = 120 amaJoules

Amandla okugcina omshini
Uma wehla, ukuphakama kwento kuyancipha, ngakho amandla ayo adonsela phansi ayancipha. Amandla adonsela phansi awalahleki kodwa aguqulwa abe amandla e-kinetic. Uma efika phansi, ukuphakama kwento kufana nokuphakama komhlabathi (h = 0), ngakho amandla ayo adonsela phansi ayi-zero (h = 0, ngakho-ke i-EP = mgh = 0). Wonke amandla adonsela phansi aguqulwa abe amandla e-kinetic. Ngakho-ke, amandla okugcina omshini (EM) akhona._t) amandla e-kinetic (EK).
EM_t = EK = ½ mv²

Umthetho wokulondolozwa kwamandla emishini :
Amandla okuqala omshini = amandla okugcina omshini
EM_o = I-EM_t
I-EP = EK
120 = EK
Amandla okuhamba asetshenziswa yi-coconut uma ifika phansi angama-100 Joules.

2. Ibhola elinesisindo esingu-2 kg ukuwa kwamahhala kusuka endaweni A njengoba kuboniswe esithombeni. (g = 10 ms^-2). Uma sifika ephuzwini B, amandla e-kinetic alingana namandla angase abe khona ngokuphindwe kabili, ngakho ukuphakama kwephuzu B ukusuka phansi…

A. 80 m
B. 70 m
C. 60 m
D. 40 m
E. 30 m

Ingxoxo
I-Diketahui :
Isisindo sebhola (m) = 2 kg
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 ms^-2
Ukuphakama A (h)_A) = 90 amamitha
Kubuziwe Ukuphakama B (h)_B)
Jawab :

Uma ibhola lifika endaweni B, amandla e-kinetic ebhola endaweni B alingana nokuphindwe kabili amandla adonsela phansi ibhola endaweni B.
I-EK = 2 EP
½ mv² = 2 mph_B
½ v² = 2 gh_B
v² = 2(2)(10) h_B
v² = amahora angu-40_B
I-Hitung isivinini (v) ibhola uma lifika endaweni B ngemva kokuwa lisuka endaweni A.
v² = 2 gh = 2(10)(90–h_B) = 20(90–amahora_B)
Shintsha u-v² ku-equation engenhla no-v² kulesi sibalo.
v² = amahora angu-40_B
20(90–amahora_B) = amahora angu-40_B
I-1800-20 h_B = amahora angu-40_B
1800 = amahora angu-40_B + 20 ihora_B
1800 = amahora angu-60_B
h_B = 1800/60
h_B = 30 imitha
Impendulo efanele ngu-E.

3. Into enesisindo esingu-1 kg iwela ngokukhululeka phezulu kwesakhiwo esinezitezi eziningi esingamamitha angu-80 ukuphakama. Uma ukungqubuzana nomoya kunganakwa futhi ukusheshisa ngenxa yamandla adonsela phansi (g) kungu-10 m/s² Ngakho-ke amandla e-kinetic ento uma ifika ebusweni bomhlaba...
Ingxoxo
I-Diketahui :
IMisa (m) = 1 kg
Ukuphakama (h) = amamitha angu-80
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla e-kinetic (EK) ento lapho into ifika ebusweni bomhlaba
Jawab :
Izinto ziwela ngokukhululeka ngakho-ke into ayinaso isivinini sokuqala. Ngakho-ke, uma iphakeme ngamamitha angu-80, into inamandla adonsela phansi kodwa into ayinawo amandla e-kinetic (v = 0 ngakho-ke EK = ½ mv² = 0). Ngakho-ke amandla okuqala omshini (EM)_o) = amandla adonsela phansi (EP).

EM_o = EP = mgh = (1)(10)(80) = 800 amaJoules

Ngesikhathi sokuwa okukhululekile, amandla adonsela phansi aguqulwa abe amandla e-kinetic. Uma into ishaya phansi, wonke amandla ayo adonsela phansi aguqulwa abe amandla e-kinetic. Ngakho-ke, uma ifika phansi, into inamandla e-kinetic kodwa ayinawo amandla adonsela phansi (h = 0, ngakho-ke i-EP = mgh = 0). Ngakho-ke, amandla okugcina omshini (EM)_t) = amandla e-kinetic (EK)

Umthetho wokulondolozwa kwamandla omshini uthi amandla okuqala omshini alingana namandla okugcina e-kinetic.
EM_o = I-EM_t
I-EP = EK
800 = EK
Amandla e-kinetic (EK) ento uma ifika phansi angama-Joules angu-800.

4. Into iwela ngokukhululeka isuka ekuphakameni kwamamitha ayi-10 ngaphezu komhlabathi. Uma isisindo sento singama-4 kg kanye nokusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s^-2 Khona-ke amandla e-kinetic kanye nesivinini sento ekuphakameni kwamamitha ama-5 ngaphezu komhlabathi...

Ingxoxo
I-Diketahui :
Ukushintsha kokuphakama (h) = 10 – 5 = amamitha angu-5
IMisa (m) = 4 kg
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla e-kinetic ento ephakeme ngamamitha ama-5
Jawab :
(a) Amandla e-kinetic ento ephakeme ngamamitha amabili
Amandla okuqala omshini (EM)_o) = amandla adonsela phansi (EP)
EM_o = EP = mgh = (4)(10)(5) = 200 amaJoules
Amandla okugcina omshini (EM)_t) = amandla e-kinetic (EK)
EM_t = EK
Umthetho wokulondolozwa kwamandla omshini uthi amandla okuqala omshini afana namandla okugcina omshini.
EM_o = I-EM_t
200 = EK
Amandla e-kinetic ento ephakeme ngamamitha ama-5 ngaphezu komhlabathi angama-Joules angama-200.

(b) Isivinini sento ekuphakameni kwamamitha ama-5
Amandla okuqala omshini (EM)_o) = amandla okugcina omshini (EM)_t)
I-EP = EK
200 = ½ mv²
2(200) / 4 = v²
100 = v²
v = √100
v = amamitha ayi-10/umzuzwana
Ijubane lento lingamamitha ayi-10 ngomzuzwana

5. Isithelo sikamango siwela ngokukhululeka sisuka ekuphakameni kwamamitha amabili. Uma g = 10 ms^-2, bala isivinini semango ngaphambi nje kokuba ifike phansi usebenzisa umthetho wamandla omshini.
Ingxoxo
I-Diketahui :
Ukuphakama (h) = amamitha ayi-2
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : isivinini semango ngaphambi nje kokuba ishaye phansi (v)
Jawab :
Amandla okuqala omshini (EM)_o) = amandla adonsela phansi (EP)
EM_o = EP = mgh = m (10)(2) = 20 m
Amandla okugcina omshini (EM)_t) = amandla e-kinetic (EK)
EM_t = EK = ½ mv²
Umthetho wokulondolozwa kwamandla omshini uthi amandla okuqala omshini afana namandla okugcina omshini.
EM_o = I-EM_t
20 m = ½ mv²
20 = ½ v²
2(20) = v²
40 = v²
v = √40 = √(4)(10) = 2√10 amamitha/umzuzwana
Ijubane likamango ngaphambi nje kokuba lifike phansi lingama-2√10 amamitha ngomzuzwana.
Kubalulekile ukuqaphela ukuthi ekubaleni kwethu, asikunaki ukungqubuzana komoya. Eqinisweni, uma noma iyiphi into iwela ngokukhululeka ebusweni boMhlaba, ukungqubuzana komoya nakho kuthonya ukunyakaza kwayo, okuholela esivinini esiphansi kunesibalo esingenhla.

Umthetho wokulondolozwa kwamandla omshini ngokunyakaza okuqondile phezulu naphansi

6. Into enesisindo esingu-1 kg iphonswa phansi ngokuqondile ngesivinini sokuqala esingu-2 m/s ukusuka emaphethelweni esakhiwo esingamamitha angu-40 ukuphakama. Amandla e-kinetic ento uma iphakeme ngamamitha ayi-10 ngaphezu komhlabathi... g = 10 m/s²

Ingxoxo
I-Diketahui :
Isisindo sento (m) = 1 kg
Ijubane lokuqala (v)_o) = 2 m/s
Ushintsho ekuphakameni = 40 – 10 = amamitha angu-30
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla e-kinetic ento ephakeme ngamamitha ayi-10 ngaphezu komhlabathi
Jawab :

Amandla okuqala omshini
Ekuqaleni, into inamandla adonsela phansi kanye namandla e-kinetic.
Amandla okuqala adonsela phansi (EP) = mgh = (1)(10)(30) = 300 Joules
Amandla okuqala e-kinetic (EK) = ½ mv_o² = ½ (1)(2)² = ½ (4) = 2 amaJoule
Ngakho-ke amandla okuqala omshini = amandla okuqala adonsela phansi + amandla okuqala e-kinetic = 300 + 2 = 302 Joules.

Amandla okugcina omshini
Njengoba into yehla, ukuphakama kwayo kuyancipha, ngaleyo ndlela kunciphisa amandla ayo adonsela phansi. Lawa mandla adonsela phansi aguqulwa abe amandla e-kinetic. Ngemva kokuhamba ngamamitha angu-30, noma lapho into ingaphezu kwamamitha ayi-10 ngaphezu komhlaba, wonke amandla ayo adonsela phansi aguqulwa abe amandla e-kinetic.
Ngakho-ke amandla okugcina omshini = amandla okugcina e-kinetic = amandla okuqala adonsela phansi + amandla okuqala e-kinetic = 300 + 2 = 302 ama-Joules.

7. Into enesisindo esingu-1 kg iphonswa phezulu phezulu ngesivinini sokuqala esingu-10 m/s. Thola (a) amandla adonsela phansi endaweni ephakeme kakhulu (b) indawo ephezulu kakhulu noma ukuphakama okuphezulu okufinyelelwe yinto… g = 10 m/s²
Ingxoxo
I-Diketahui :
Isisindo sento (m) = 1 kg
Ijubane lokuqala (v)_o) = 10 m/s
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla adonsela phansi endaweni ephakeme kakhulu kanye nendawo ephansi kakhulu
Jawab :
(a) Amandla adonsela phansi endaweni ephakeme kakhulu
Amandla okuqala omshini
Ekuqaleni into inamandla e-kinetic kodwa into ayinawo amandla adonsela phansi. Amandla okuqala omshini = amandla okuqala e-kinetic (EK) = ½ mv_o² = ½ (1)(10)² = ½ (100) = amaJoules angu-50.
 
Amandla okugcina omshini
Ngemva kokuhamba uye phezulu phezulu, ukuphakama kwento kuyanda, ngaleyo ndlela kwandisa amandla ayo adonsela phansi. Lawa mandla adonsela phansi awaveli ngokuzenzakalelayo kodwa atholakala emandleni e-kinetic. Ekuphakameni kwayo okuphezulu noma endaweni ephezulu kakhulu, into iphumula isikhashana ngaphambi kokubuyela emuva. Ngenxa yokuthi iphumula isikhashana, ijubane layo lingu-zero, futhi amandla ayo e-kinetic nawo angu-zero. Wonke amandla e-kinetic aguqulwa abe amandla adonsela phansi.
Amandla okugcina omshini = amandla adonsela phansi (EP)

Umthetho wokulondolozwa kwamandla emishini:
Amandla okuqala omshini = amandla okugcina omshini
EK = EP
50 = EP
Amandla adonsela phansi angama-Joules angu-50.

(b) Iphuzu eliphakeme kakhulu noma ukuphakama okuphezulu kakhulu
EP = mgh
50 = (1)(10) h
50 = amahora angu-10
h = 50 / 10 = amamitha ayi-5
Indawo ephakeme kakhulu noma ukuphakama okuphezulu okufinyelelwa yinto kungamamitha ama-5 ukusuka ebusweni bomhlaba.

 

Umthetho wokulondolozwa kwamandla omshini ahamba endizeni ethambekele

8. Kusukela esimweni sokuphumula, ibhlokhi liyashelela ngaphandle kokungqubuzana endizeni ethambekele. Ijubane lebhlokhi uma lifika phansi endizeni ethambekele lingu… g = 10 m/s²
Ingxoxo
I-Diketahui :
Ukuphakama (h) = amamitha ayi-8
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : isivinini (v) sebhulokhi uma sifika phansi kwendiza ethambekele
Jawab :
Uma iphakeme ngamamitha angu-8, ibhlokhi inamandla adonsela phansi kodwa ayinawo amandla e-kinetic ngoba ayikashukumi. Ngakho-ke, amandla okuqala omshini webhlokhi angamandla adonsela phansi.
Amandla okuqala omshini (EM)_o) = amandla adonsela phansi (EP)
EM_o = EP = mgh = m (10)(8) = 80 m
Njengoba ibhloko iqala ukwehla, amandla ayo adonsela phansi aqala ukuguqukela emandleni e-kinetic. Uma ifika phansi kokwehla, wonke amandla ayo adonsela phansi aguqukela emandleni e-kinetic. Ngakho-ke, amandla okugcina omshini webhloko amandla e-kinetic.
Amandla okugcina omshini (EM)_t) = amandla e-kinetic (EK)
EM_t = EK = ½ mv²
Umthetho wokulondolozwa kwamandla omshini uthi amandla okuqala omshini afana namandla okugcina omshini.
EM_o = I-EM_t
80 m = ½ mv²
80 = ½ v²
160 = v²
v = √160 = √(16)(10) = 4√10 m/s
Ijubane lebhulokhi phansi kwendiza ethambekele lingama-4√10 amamitha/umzuzwana.

9. Into enesisindo esingu-1 kg, ekuqaleni iphumule, ikhishwa phezulu endizeni ethambile ethambekele engamamitha angu-8 ubude. Thola amandla e-kinetic ngemva kokuba into ishelele endizeni ethambekele amamitha angu-5…. (g = 10 m/s²)
Ingxoxo
I-Diketahui :
Isisindo sento (m) = 0,2 kg
Ubude be-hypotenuse into edlula kuyo = amamitha angu-5
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla e-kinetic (EK) ento ngemva kokushelela ngamamitha angu-5
Jawab :
Isinyathelo sokuqala ekuxazululeni le nkinga ukubala ushintsho ekuphakameni kwento ngemva kokuba into ishelele endizeni ethambekele amamitha ama-5.
ngaphandle 30^o = ubude bohlangothi oluqondile / ubude be-hypotenuse
0,5 = ubude bohlangothi oluqondile / 5
Ubude bohlangothi oluqondile = (0,5)(5) = 2,5 amamitha
Ushintsho ekuphakameni kwento lungamamitha angu-2,5.

Amandla okuqala omshini (EM)_o) = amandla adonsela phansi (EP)
EM_o = EP = mgh = (1)(10)(2,5) = 25 amaJoules
Amandla okugcina omshini (EM)_t) = amandla e-kinetic (EK)
EM_t = EK
Umthetho wokulondolozwa kwamandla omshini uthi amandla okuqala omshini afana namandla okugcina omshini.
EM_o = I-EM_t
25 = EK
Amandla e-kinetic ento ngemva kokushelela kwento ngamamitha angu-5 angama-Joules angu-25.

 

Umthetho wokulondolozwa kwamandla omshini ahambayo endizeni egobile

10. Into enesisindo esingamakhilogremu angu-1 ishelela ngaphandle kokungqubuzana kusuka ekuphakameni kwamamitha angu-5 ngaphandle kwejubane lokuqala. Amandla e-kinetic kanye nesivinini sento ephansi kakhulu… g = 10 m/s²
Ingxoxo
I-Diketahui :
Isisindo sento (m) = 1 kg
Ushintsho ekuphakameni (h) = amamitha angu-5
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla e-kinetic (EK) kanye nesivinini (v) sento esezingeni eliphansi kakhulu
Jawab :

(a) Amandla e-kinetic ento esezingeni eliphansi kakhulu
Uma iphakeme ngamamitha ama-5 futhi ingakaqali ukuhamba, into inamandla adonsela phansi kodwa ayinawo amandla e-kinetic ngoba isaphumule. Ngakho-ke, amandla okuqala omshini ngaphambi kokuba into iqale ukuhamba amandla adonsela phansi. Uma into iqala ukwehla, amandla adonsela phansi aqala ukuguqulwa abe amandla e-kinetic. Uma ifika eqophelweni eliphansi kakhulu, wonke amandla adonsela phansi aguquka abe amandla e-kinetic. Ngakho-ke, amandla okugcina omshini yi-kinetic energy.
Amandla okuqala omshini = amandla adonsela phansi
EM_o = EP = mgh = (1)(10)(5) = 50 amaJoules
Amandla okugcina omshini = amandla e-kinetic
EM_t = EK = ½ mv_t²
Umthetho wokulondolozwa kwamandla omshini uthi amandla okuqala omshini afana namandla okugcina omshini..
EM_o = I-EM_t
I-EP = EK
50 = EK
Amandla e-kinetic (EK) endaweni ephansi kakhulu angama-Joules angu-50.

(b) Isivinini sento endaweni ephansi kakhulu
Indlela yokuqala:
Umthetho wokulondolozwa kwamandla emishini:
Amandla okuqala omshini (EM)_o) = amandla okugcina omshini (EM)_t)
Amandla adonsela phansi (EP) = amandla e-kinetic (EK)
50 = ½ mv²
2(50) / m = v²
100 / 1 = v²
100 = v²
v = √100
v = amamitha ayi-10/umzuzwana
 
Indlela yesibili:
Umthetho wokulondolozwa kwamandla emishini :
Amandla okuqala omshini (EM)_o) = amandla okugcina omshini (EM)_t)
Amandla adonsela phansi (EP) = amandla e-kinetic (EK)
mgh = ½ mv²
gh = ½ v²
2 gh = v²
2(10)(5) = v²
100 = v²
v = √100
v = amamitha ayi-10/umzuzwana
Ijubane lento ephansi kakhulu lingu-10 m/s.

11. Into enesisindo esingamakhilogremu ama-2 eqale iphumule, ishelela ngaphandle kokungqubuzana isuka ekuphakameni kwamamitha ayi-10 ngaphezu komhlabathi. Amandla e-kinetic kanye nesivinini sento ekuphakameni kwamamitha ama-2 ngaphezu komhlabathi… g = 10 m/s²
Ingxoxo
I-Diketahui :
Isisindo sento (m) = 2 kg
Ukushintsha kokuphakama (h) = 10 – 2 = amamitha angu-8
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla e-kinetic (EK) kanye nesivinini (v) sento ekuphakameni kwamamitha ama-2 ngaphezu komhlabathi.
Jawab :
Isixazululo sale nkinga sifana nesisombululo senkinga yangaphambilini.

(a) Amandla e-kinetic ento ephakeme ngamamitha amabili
Amandla okuqala omshini = amandla adonsela phansi
EM_o = EP = mgh = (2)(10)(8) = 160 amaJoules
Amandla okugcina omshini = amandla e-kinetic
EM_t = EK = ½ mv_t²
Umthetho wokulondolozwa kwamandla omshini uthi amandla okuqala omshini afana namandla okugcina omshini..
EM_o = I-EM_t
I-EP = EK
160 = EK
Amandla e-kinetic (EK) ekuphakameni kwamamitha ama-2 angama-160 Joules.

(b) Isivinini sento endaweni ephansi kakhulu
Indlela yokuqala:
Umthetho wokulondolozwa kwamandla emishini:
Amandla okuqala omshini (EM)_o) = amandla okugcina omshini (EM)_t)
Amandla adonsela phansi (EP) = amandla e-kinetic (EK)
160 = ½ mv²
160 = ½ (2) v²
160 = v²
v = √160 = √(16)(10) = 4√10 amamitha/umzuzwana

Indlela yesibili:
Umthetho wokulondolozwa kwamandla emishini :
Amandla okuqala omshini (EM)_o) = amandla okugcina omshini (EM)_t)
Amandla adonsela phansi (EP) = amandla e-kinetic (EK)
mgh = ½ mv²
gh = ½ v²
2 gh = v²
2(10)(8) = v²
160 = v²
v = √160 = √(16)(10) = 4√10 amamitha/umzuzwana
Ijubane lento ekuphakameni kwamamitha ama-2 lingama-4√10 amamitha/umzuzwana.

12. Ebusika, imincintiswano yokuskiya eqhweni ibanjelwa ezintabeni eSweden. Abaskiya eqhweni bayaslayida behla besuka ekuphakameni A, njengoba kuboniswe kuMfanekiso 2.

Uma ijubane lokuqala lomshushuluzi = zero, kanye nokusheshisa ngenxa yamandla adonsela phansi = 10 ms^-2, khona-ke isivinini somdlali ekuphakameni B...

A. √2 ms^-1

B. 5 √2 ms^-1

C. 10 √2 ms^-1

D. 20 √2 ms^-1

E. 25 √2 ms^-1

Ingxoxo

Kuyaziwa ukuthi:

Ijubane lokuqala (v)_o= = 0

Ukuphakama kokuqala (h)_o) = 50 m – 10 m = 40 m

Ukuphakama kokugcina (h_t= = 0

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 ms^-2

Kubuziwe: Ijubane lokugcina (v)_t)

Impendulo:

Ushintsho kumandla e-kinetic:

ΔEK = 1/2 m (v_t² - v_o²) = 1/2 m (v_t² - 0) = 1/2 mv_t²

Ushintsho emandleni angaba khona:

ΔEP = mg (h_t - h_o) = m (10)(0-40) = m (10)(-40) = – 400 m

Bala ijubane lokugcina (v)_t) kusetshenziswa ifomula yomthetho wokulondolozwa kwamandla omshini:

I-0 = ΔEK + ΔEP

0 = 1/2 mv_t² - 400 m

1/2 mv_t² = 400m

1/2v_t² = 400

v_t² = 2(400)

v_t = √(400)(2)

v_t = 20√2 m/s

Impendulo efanele ngu-D.

13. Ibhola elinesisindo esingu-1 kg liyakhululwa bese lishelela lisuka endaweni A liye endaweni C ngendlela ebushelelezi egobile njengoba kuboniswe esithombeni esingezansi. ukusheshisa ngenxa yamandla adonsela phansi = 10 ms^-2, khona-ke amandla e-kinetic (Ek) ebhola uma lisephuzwini C….

A. Ama-joule angu-25,0
B. ama-joule ayi-22,5
C. 20,0 ama-joule
D. 12,5 ama-joule
E. 7,5 ama-joule

Ingxoxo
Kuyaziwa ukuthi:
Isisindo sebhola (m) = 1 kg
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Ushintsho ekuphakameni (h) = 0,75 m

Amandla okuqala adonsela phansi (EP)_o) = mgh = (1)(10)(0,75) = 7,5 amaJoules
Amandla okuqala e-kinetic (EK)_o) = ½ mv_o² = ½ m (0)²= = 0
Amandla okugcina adonsela phansi (EP)_t) = mgh = mg (0) = 0
Umbuzo: Amandla e-kinetic (EK) ebhola uma lisephuzwini C
Impendulo:

Umthetho wokulondolozwa kwamandla omshini uthi amandla omshini ebhola endaweni yalo yokuqala alingana namandla omshini wokugcina endaweni yalo yokugcina. Kule nkinga, indawo yokuqala yindawo yebhola ngaphambi kokuba likhishwe, kanti indawo yokugcina yiphuzu C.

Amandla okuqala omshini (EM)_o) = Amandla okugcina omshini (EM)_t)
Amandla okuqala adonsela phansi (EP)_o) + Amandla okuqala e-kinetic (EK)_o) = Amandla okugcina adonsela phansi (EP)_t) + Amandla okugcina e-kinetic (EK)_t)
7,5 AmaJowule + 0 = 0 + EK_t
AmaJoules angu-7,5 = EK_t
Amandla e-kinetic (EK) ebhola endaweni C angama-7,5 Joules.
Impendulo efanele ngu-E.

14. Ibhola A elinesisindo esingu-2 kg liyakhululwa bese lihamba ngendlela ebushelelezi njengoba kuboniswe esithombeni. Uma ukusheshisa ngenxa yamandla adonsela phansi kungu-10 m/s^-2, amandla e-kinetic ebhola lapho ku-B….

A. Ama-joule angu-4
B. ama-joule ayi-8
C. 10 ama-joule
D. 12 ama-joule
E. 24 ama-joule

Ingxoxo
Kuyaziwa ukuthi:
Isisindo sebhola (m) = 2 kg
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Ukushintsha kokuphakama (h) = 120 cm = 1,2 amamitha

Amandla okuqala adonsela phansi (EP)_o) = mgh = (2)(10)(1,2) = 24 amaJoules
Amandla okuqala e-kinetic (EK)_o) = ½ mv_o² = ½ m (0)²= = 0
Amandla okugcina adonsela phansi (EP)_t) = mgh = mg (0) = 0
Umbuzo: Amandla e-kinetic ebhola ku-B
Impendulo:
Amandla omshini webhola endaweni A (amandla okuqala omshini) afana namandla omshini ebhola endaweni B (amandla okugcina omshini).

Amandla okuqala omshini (EM)_o) = Amandla okugcina omshini (EM)_t)
Amandla okuqala adonsela phansi (EP)_o) + Amandla okuqala e-kinetic (EK)_o) = Amandla okugcina adonsela phansi (EP)_t) + Amandla okugcina e-kinetic (EK)_t)
24 AmaJowule + 0 = 0 + EK_t
EK_t = 24 amaJoule
Amandla e-kinetic (EK) ebhola endaweni C angama-24 Joules.
Impendulo efanele ngu-E.

 

Umthetho wokulondolozwa kwamandla omshini ekuhambeni okufana nokwe-parabolic

15. Ibhola elinesisindo esingu-0,1 kg likhahlelwa ngesivinini esingu-10 m/s. Uma i-engeli yokuphakama ingu-30^o futhi ukusheshisa okubangelwa amandla adonsela phansi kungu-10 m/s² , nquma (a) amandla adonsela phansi ebhola endaweni ephakeme kakhulu (b) indawo ephezulu kakhulu noma ukuphakama okuphezulu.
Ingxoxo
I-Diketahui :
Isisindo sebhola (m) = 0,1 kg
Ijubane lokuqala (v)_o) = 10 m/s
I-engeli yokuphakama = 30^o
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : amandla e-kinetic (EK) ebhola endaweni ephezulu kakhulu
Jawab :

(a) Amandla adonsela phansi ebhola endaweni ephezulu kakhulu
Indlela ibhola elihamba ngayo ifana nepharabola njengoba kuboniswe esithombeni esingezansi.
Okokuqala bala ingxenye yejubane lokuqala ohlangothini oluvundlile (v_ox) kanye nokuma (v_oy).
Uma indlela yokunyakaza kwe-parabolic ifana nesithombe esingenhla, khona-ke ukunyakaza ohlangothini oluvundlile noma oluvundlile kuhlaziywa kanje. ukunyakaza okuqondile okufanayo futhi ukunyakaza ohlangothini oluqondile kuhlaziywa njengoba ukunyakaza okuqonde phezulu. Ekuhambeni okulinganayo okuqondile, ijubane lihlala lingaguquki kulo lonke ukunyakaza. Ngokuphambene nalokho, ekuhambeni okuqonde phezulu, lapho into ifinyelela ukuphakama kwayo okuphezulu noma iphuzu eliphezulu kakhulu, ima isikhashana ngaphambi kokubuyela emuva. Ngakho-ke, endaweni ephezulu kakhulu, ijubane eliqondile lento liyi-zero, kodwa endaweni ephezulu kakhulu, into isenejubane lika-v._ox.

Amandla okuqala omshini
Uma ibhola liqala ukuhamba, ukuphakama kwalo kufana nophansi noma phansi (h = 0), ngakho amandla alo adonsela phansi angu-zero (h = 0, ngakho-ke i-EP = mgh = 0). Ngokuphambene nalokho, uma liqala ukuhamba, ibhola linejubane lokuqala eliphakeme kakhulu, ngakho-ke amandla alo e-kinetic aphezulu kakhulu. Ngakho-ke, amandla okuqala e-mechanical ebhola amandla e-kinetic.
Amandla okuqala omshini (EM)_o) = amandla e-kinetic (EK)
EM_o = EK = ½ mv_o² = ½ (0,1)(10)² = ½ (0,1)(100) = ½ (10) = 5 amaJoules

Amandla okugcina omshini
Ngemva kokuqala ukuhamba, ukuphakama kwebhola kuyanda, ngakho-ke amandla alo adonsela phansi ayanda. Uma lifika ekuphakameni kwalo okuphezulu, amandla alo adonsela phansi afinyelela inani lalo eliphezulu. Kuthiwani ngamandla e-kinetic ebhola? Esigabeni salo esiphezulu, ijubane eliqondile lebhola (voy) lingu-zero, kodwa lisenejubane elivundlile (vox).
Amandla e-kinetic ekuphakameni okuphezulu :
EK = ½ mv_ox² = ½ (0,1)(5√3)² = ½ (0,1)((25)(3)) = ½ (0,1)(75) = 3,75 Ama-Joule

Umthetho wokulondolozwa kwamandla emishini:
Amandla okuqala omshini (EM)_o) = amandla okugcina omshini (EM)_t)
EK = EP + EK
5 = EP + 3,75
I-EP = 5 – 3,75 = 1,25 Ama-Joules
Amandla adonsela phansi ekuphakameni okuphezulu angama-1,25 Joules.
 
(b) Iphuzu eliphakeme kakhulu noma ukuphakama okuphezulu kakhulu
EP = mgh
1,25 = (0,1)(10) h
1,25 = ihora
Ukuphakama okuphezulu kungamamitha ama-1,25.

16. Ibhola elinesisindo esingu-0,1 kg liphonswa ngokuvundlile ngesivinini esingu-10 m/s ukusuka emaphethelweni esakhiwo esingamamitha ayi-10 ukuphakama. Uma ukusheshisa okubangelwa amandla adonsela phansi kuleyo ndawo kungu-10 m/s², khona-ke amandla e-kinetic ebhola uma lifika phansi….
Ingxoxo
I-Diketahui :
Isisindo sebhola (m) = 0,1 kg
Ijubane lokuqala (v)_o) = 10 m/s
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Ukushintsha kokuphakama (h) = 10 – 2 = amamitha angu-8
Kubuziwe : amandla e-kinetic ebhola ekuphakameni kwamamitha amabili
Jawab :
Uma ibhola liphakeme ngamamitha ayi-10, linamandla adonsela phansi. Ibhola liqala ukuhamba ngemva kokuphonswa ngesivinini sokuqala esingu-10 m/s, ngakho-ke linamandla adonsela phansi. Ngakho-ke, amandla okuqala omshini webhola amandla adonsela phansi + amandla adonsela phansi.
Amandla okuqala adonsela phansi (EP) = mgh = (0,1)(10)(10) = 10 Joules
Amandla okuqala e-kinetic (EK) = ½ mv_o² = ½ (0,1)(10)² = ½ (0,1)(100) = ½ (10) = 5 amaJoules

Njengoba ibhola lehla, ukuphakama kwalo kuyancipha, ngaleyo ndlela kunciphisa amandla alo adonsela phansi. Uma lifika phansi, ukuphakama kwalo kufana nokuphakama komhlabathi (h = 0), ngakho amandla alo adonsela phansi ayi-zero (h = 0, ngakho-ke i-EP = mgh = 0). Wonke amandla adonsela phansi aguqulwa abe amandla e-kinetic.
Amandla okugcina e-kinetic = amandla okuqala adonsela phansi + amandla okuqala e-kinetic = 10 + 5 = 15 Joules