Izibonelo ezi-4 zomsebenzi kanye namandla adonsela phansi
1. Into enesisindo esingu-1 kg ukuwa kwamahhala kusukela ekuphakameni kwamamitha ayi-10 kuya ebusweni bomhlaba. Thola:
(a) Umsebenzi owenziwe ngamandla adonsela phansi entweni
(b) Izinguquko amandla angase abe khona amandla adonsela phansi
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s2
Ingxoxo
I-Diketahui :
Isisindo sento (m) = 1 kg
Ukuphakama (h) = amamitha ayi-10
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s2
Impendulo:
(a) Umsebenzi owenziwe ngamandla adonsela phansi
Uma into iwela ngokukhululeka, indlela yokuhamba kwento ibheke phansi kanti indlela yamandla adonsela phansi asebenza entweni (isisindo sento) nayo ibheke phansi. Ngenxa yokuthi asendleleni efanayo, amandla adonsela phansi ayahlangana noma akha i-engeli engu-0.o ngesiqondiso sokunyakaza kwento. I-Cos 0 = 1 futhi yonke inombolo ephindwe ngo-1 iyafana naleyo nombolo, ngakho-ke i-cos 0 ayidingi ukufakwa kufomula yomsebenzi.
Ifomula yomsebenzi ingu-W = F s, lapho u-W = umsebenzi, u-F = amandla kanye no-s = ukufuduka. Uma ilungiswa kule nkinga, ifomula yomsebenzi ishintshela ku-W = wh = mgh, lapho u-W = umsebenzi, u-w = amandla adonsela phansi, u-h = ushintsho ekuphakameni kwento, u-m = isisindo sento, u-g = ukusheshisa ngenxa yamandla adonsela phansi.
Ngakho-ke umsebenzi owenziwe ngamandla adonsela phansi uwukuthi:
W = wh = mgh = (1)(10)(10) = ama-Joules ayi-100
(B) Ushintsho emandleni adonsela phansi
Ekuphakameni kwamamitha ayi-10 ngaphezu komhlabathi, amandla adonsela phansi ento angama-Joules ayi-100. Njengoba yehla, ukuphakama kwento kuyehla, ngaleyo ndlela kunciphisa amandla ayo adonsela phansi. Uma ifika ezingeni lomhlabathi, lapho ukuphakama kwento kungama-zero, amandla ayo adonsela phansi angama-zero. Ngakho-ke, amandla adonsela phansi ento ancipha ngama-Joules ayi-100.
2. Into enesisindo sama-Newton ayi-10 isendaweni ebushelelezi ethambekele nge-engeli yokuthambekela engu-30°.oUbude be-hypotenuse bungamamitha ama-2. Umsebenzi owenziwa ngamandla adonsela phansi entweni njengoba ishelela eceleni kwe-hypotenuse…
Ingxoxo
I-Diketahui :
Amandla adonsela phansi (w) = 10 Newton
wx = isono umamkhulu = (10)(isono 30o) = (10)(0,5) = 5 Newton
Ubude be-hypotenuse (s) = amamitha ama-2
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s2
Kubuziwe : umsebenzi owenziwe ngamandla adonsela phansi
Jawab :
Le nkinga ingaxazululwa ngezindlela ezimbili.
Indlela yokuqala :
Ifomula yomsebenzi ingu-W = F s. Uma ilungiswa kule nkinga, ifomula yomsebenzi ishintsha ibe ngu-W = wx s. Ngakho umsebenzi owenziwe ngamandla adonsela phansi u-W = wx s = (5)(2) = 10 amaJoules.
Indlela yesibili :
Umsebenzi owenziwa ngamandla alondolozayo, njengamandla adonsela phansi, awuxhomekile endleleni into ethathayo kodwa uxhomeke ekushintsheni kokuphakama. Ngakho-ke, ukuze ubale umsebenzi owenziwe ngamandla adonsela phansi, qala ubale ukuphakama kwento.
Ngaphandle kwama-30o = uhlangothi oluqondile / i-hypotenuse
0,5 = uhlangothi oluqondile / 2
Uhlangothi oluqondile = (0,5)(2)
Uhlangothi oluqondile = imitha eli-1
Ukuphakama kwento kuyimitha eli-1.
Umsebenzi owenziwa ngamandla adonsela phansi lapho into ihambela phansi u-W = wh = (10)(1) = 10 Joules.
3. Ama-Joules angu-5000 wamandla asetshenziswa ukuphakamisa into enesisindo esingu-50 kg. Into izophakama ifike kubude obungu… g = 10 m/s2
A. 5 m
B. 10 m
C. 12 m
D. 15 m
E. 20 m
Ingxoxo:
I-Diketahui :
amandla adonsela phansi e-EP = 5000 Joules, m = 50 kg, g = 10 m/s2.
Kubuziwe :
h ?
Jawab :
EP = mgh
5000 = (50)(10)(h)
5000 = amahora angu-500
h = 5000 / 500 = amamitha ayi-10
Impendulo efanele ingu-B.
4. Into enesisindo esingu-2 kg ingamamitha ama-5 ngaphezu komhlabathi. Ukusheshisa ngenxa yamandla adonsela phansi = 10 m/s2. Umzamo odingekayo ukuze kuphakanyiswe into ifinyelele ukuphakama kwamamitha ayi-15 ngaphezu komhlaba…
A. 100 Joule
B. 200 Joule
C. 300 Joule
D. 400 Joule
E. 500 AmaJoule
Ingxoxo:
I-Diketahui :
m = 2 kg, h1 = amamitha angu-5, h2 = amamitha ayi-15, g = 10 m/s2
Kubuziwe :
W ?
Jawab :
Umsebenzi (W) = ushintsho emandleni adonsela phansi (EP)2 – EP1).
W = EP2 – EP1
W = mgh2 – mgh1
W = mg (h2 - h1)
W = (2)(10)(15-5) = (2)(10)(10) = 200 amaJoules.
Impendulo efanele ingu-B.