Mehlala e 6 ea Lipotso tsa Matla a Mekaniki
Theorem ea mosebetsi le matla a mechini
1. Ela hloko setšoantšo ho falla thibela ka tsela e latelang! Nka hore g = 10 m/s2Haeba coefficient ea khohlano ea kinetic pakeng tsa boloko le fatše μk = 0,5, joale boleng ba ho falla ha ntho ke ….
A. 5,00 m
B. 4,25 m
C. 3,00 m
D. 2,50 m
E. 2,00 m
Puisano
Hoa tsebahala :
Khokahano ea kinetic ea khohlano (μk) = 0,5
Boima ba boloko (m) = 4 kg
Ho potlaka ka lebaka la matla a khoheli (g) = 10 m/s2
Boima ba boloko (w) = mg = (4)(10) = 40 Newton
Haeba boloko bo le holim'a sebaka se bataletseng, joale matla a tloaelehileng (N) = boima (w) = 40 Newtons.
Lebelo la pele (v)1) = 5 m/s
Lebelo la ho qetela (v)2) = 0 m/s
E botsitsoe : ho falla ha ntho (lintho)?
Jawab :
Teori ea matla a mosebetsi le mechine e bolela hore mosebetsi (W) o etsoang ke matla a sa bolokeheng o lekana le phetoho ea matla a mechini a ntho kapa matla a ho qetela a mechini (EM).2) – matla a pele a mechini (EM)1Khohlano ea Kinetic ke matla a sa bolokeng 'me matla a le mong feela a sa bolokeng a sebetsang holim'a block ke khohlano ea kinetic.
W= ΔEM
fk s = EM2 – EM1
Mosebetsi o etsoang ka ho qabana ha kinetic:
W = fk s = (μk)(N)(s) = (0,5)(40)(s) = 20 s
Liphetoho matla a mechini:
ΔEM = EM2 – EM1 = (EK + EP)2 – (EK + EP)1
Lintho li tsamaea holim'a sebaka se bataletseng 'me ha li bone liphetoho bophahamong (Δh = 0) kahoo ha ho na phetoho matla a khoheli (ΔEP = EP2 – EP1 = 0). Kahoo phetoho ea matla a mechini e kenyelletsa feela phetoho ea matla a kinetic.
ΔEM = EK2 – EK1 = ½ mv22 – ½ mv12 = ½ m (v22 - v12)
ΔEM = ½ (4)(02 - 52) = (2)(25) = 50
Ho falla ha boloko ke:
W= ΔEM
20 ses = 50
s = 50 / 20 = limithara tse 2,5
Karabo e nepahetseng ke D.
Molao oa paballo ea matla a mechini
2. Lintho tsa A le B li na le boima bo lekanang. Ntho ea A e oa ho tloha bophahamong ba limithara tsa h 'me B e oa ho tloha ho limithara tsa lihora tse 2. Haeba A e otla fatše ka lebelo la vm/s, joale ntho ea B e tla otla fatše ka matla a kinetic a….
A. 2 mv2
B. mv2
C. 3/4 mv2
D. 1/2 mv2
E. 1/4 mv2
Puisano
Lebelo la ho qetela la ntho B le oelang ka bolokolohi ho tloha bophahamong ba lihora tse 2 ke:
v2 = 2 g (lihora tse 2) = 4 gh
Matla a kinetic a ntho B ke:
EKB = ½ mv2 = ½ m (4 gh) = 2 mgh —– Tekanyo 1
Matla a pele a mechini a ntho B ke matla a khoheli a ka bang teng = mg h. Matla a ho qetela a mechini a ntho B ke matla a kinetic = ½ mv2.
Molao oa paballo ea matla a mechini :
mgh = ½ mv2.
Hobane mgh = ½ mv2 ebe re ka nkela mgh sebaka ho equation ea 1 ka ½ mv2.
Matla a kinetic a ntho B = 2 mgh = 2(½ mv)2) = mv2
Karabo e nepahetseng ke B.
3. Sheba setšoantšo se ka tlase! Ntho e oela ka bolokolohi ho tloha bophahamong ba limithara tse 20. Haeba lebelo le bakoang ke matla a khoheli e le 10 m/s, joale lebelo la ntho ha e le limithara tse 15 ka holim'a lefatše ke….
A. 2 m/s
B. 5 m/s
C. 10 m/s
D. 15 m/s
E. 20 m/s
Puisano
Matla a ho qetela a mechini = matla a pele a mechini
Matla a kinetic a ntho ntlheng ea 2 = phokotso ea matla a khoheli ka limithara tse 5
½ mv2 = mgh
½ v2 = (10)(20-15)
½ v2 = (10)(5)
½ v2 = 50
v2 = (2)(50)
v2 = 100
v = 10 m/s
Karabo e nepahetseng ke C.
4. Boloko bo tshwerwe ka hodimo ho sefofane se sekametseng jwalo ka ha ho bontshitswe setshwantshong. Ha e lokollwa, boloko bo thella ntle le ho kgohlana hodima moedi. Lebelo la boloko ha le fihla tlase ho moedi ke…
B. 8 ms-1
C. 10 ms-1
D. 12 ms-1
E. 16 ms-1
Puisano
Matla a pele a mechini = matla a khoheli a ka bang teng = mgh = m (10)(5) = 50 m
Matla a ho qetela a mechini = matla a kinetic = 1/2 mv2
Molao oa paballo ea matla a mechini o bolela hore matla a pele a mechini = matla a ho qetela a mechini.
EMo = EMt
50 m = 1/2 mv2
50 = halofo ea v2
100 = v2
v = 10 m/s
Karabo e nepahetseng ke C.
5. Boloko bo nang le boima ba m kg bo lokollwa ho tloha bophahamong ba limithara tse h ka hodima lefatshe jwalo ka ha ho bontshitswe setshwantshong. Karolelano ya matla a ka bang teng (EP) le matla a kinetic (EK) ha e le ntlheng ya M ke….
K. 1: 3 
B. 1: 2
C. 2: 1
D. 2: 5
E. 3: 7
Puisano
Matla a khoheli a ka bang teng ntlheng ea M:
EPM = mg (lihora tse 0,3)
Matla a kinetic ntlheng ea M = phokotso ea matla a khoheli ka h-0,3h = 0,7h
EKM = EP = mg (lihora tse 0,7)
Karolelano ea matla a khoheli le matla a kinetic ntlheng ea M ke:
EPM : EKM
mg (lihora tse 0,3): mg (lihora tse 0,7)
0,3: 0,7
3: 7
Karabo e nepahetseng ke E.
6. Sheba setšoantšo sa ntho A e oelang ka bolokolohi ho tloha ntlheng ea P ka tlase!
Haeba EPQ le EKQ e 'ngoe le e 'ngoe ke matla a ka bang teng le matla a kinetic ntlheng ea Q (g = 10 m/s2), ebe EPQ : EKQ ke….
K. 16: 9
B. 9: 16
C. 3: 2
D. 2: 3
E. 2: 1
Puisano
Matla a khoheli a ka bang teng ntlheng ea Q:
EPQ = mgh = (m)(10)(1,8) = 18 m
Matla a kinetic ntlheng ea Q = phokotso ea matla a khoheli ka 5-1,8 = limithara tse 3,2
EKQ = EP = mgh = m (10)(3,2) = 32 m
Karolelano ea matla a khoheli le matla a kinetic ntlheng ea Q ke:
EPQ : EKQ
18 m : 32 m
18: 32
9: 16
Mohloli oa lipotso:
Lipotso tsa Fisiks tsa Tlhahlobo ea Naha bakeng sa Sekolo se Phahameng sa Thuto e Phahameng/Sekolo se Phahameng sa Mosebetsi
