Mohlala oa motsamao o otlolohileng ka ho lekana

Mehlala e 10 ea motsamao o otlolohileng ka ho lekana

1. Koloi e qala e eme. Kamora metsotsoana e 10, lebelo la koloi le eketseha ho fihla ho 20 m/s. Fumana lebelo la koloi!
Puisano
Ha ho foromo (sebelisa mokhoa oa ho nahana) :
Lebelo la koloi le fetoha ho 20 m/s kamora metsotsoana e 10. Sena se bolela hore lebelo la koloi le eketseha ka 2 m/s motsotsoana o mong le o mong. Kahoo, lebelo la koloi ke 2 m/s ka motsotsoana = 2 m/s ka motsotsoana = 2 m/s².
Ho sebelisa foromo :
Hoa tsebahala hore:
Lebelo la pele (v)_o) = 0 (koloi e eme)
Nako ea ho arohana (t) = metsotsoana e 10
Lebelo la ho qetela (v)_t) = 20 m/s
E botsitsweng: ho potlaka ha koloi (a)
Karabo:
Hobane ho tsebahala v_o,v_t, mme a botsa a ebe o sebedisa foromo ya GLBB v_t = vo + ho
v_t = v_o + ho
20 = 0 + (a)(10)
20 = 10 a
a = 20/10
a = 2 m/s²
Bongata ba lebelo la koloi ke 2 m/s²Sena se bolela hore lebelo la koloi le eketseha ka 2 m/s motsotsoana o mong le o mong.

2. Koloi e qala ho tsamaya ka lebelo la 30 m/s e fokotsa lebelo la yona ho fihlela e ema kamora metsotswana e 10. Boholo ba ho fokotseha ha lebelo la koloi ke...
Puisano
Ntle le foromo (sebelisa mokhoa oa ho nahana):
Lebelo la koloi le fokotseha ho tloha ho 30 m/s ho isa ho 0 m/s ka metsotsoana e 10. Sena se bolela hore lebelo la koloi le fokotseha ka 3 m/s motsotsoana o mong le o mong. Kahoo, ho fokotseha ha lebelo la koloi ke 2 m/s ka motsotsoana = 3 m/s.².
Ho sebelisa foromo:
Hoa tsebahala hore:
Lebelo la pele (v)_o) = 30 m/s
Lebelo la ho qetela (v)_t= 0
Nako ea ho arohana (t) = metsotsoana e 10
E botsitsweng: phokotso ya lebelo (a)?
Karabo:
Hobane ho tsebahala v_o,v_t, mme a botsa a ebe o sebedisa foromo ya GLBB v_t = vo + ho
v_t = v_o + ho
0 = 30 + (a)(10)
– 30 = 10 a
a = – 30 / 10
a = 3 m/s²
Boholo ba lebelo la koloi ke -3 m/s²Sena se bolela hore lebelo la koloi le fokotseha ka 3 m/s motsotsoana o mong le o mong o le mong. Letšoao le lebe le bontša hore lebelo la koloi lea fokotseha.

3. Ntho e phomotseng qalong e tsamaya ka lebelo le sa fetoheng la 4 m/s.²Fumana lebelo le sebaka se tsamailoeng kamora metsotsoana e 10.
Puisano
(a) Lebelo
Ho potlaka 4 m/s² Sena se bolela hore lebelo la ntho le eketseha ka 4 m/s motsotsoana o mong le o mong o le mong. Kamora metsotsoana e 2, lebelo la ntho le fetoha 8 m/s. Kamora metsotsoana e 10, lebelo la ntho le fetoha 40 m/s.
(b) Sebaka se tsamailweng
Lebelo la pele (v)_o= 0
Lebelo la ho qetela (v)_t) = 40 m/s
a = 4 m/s²

Lik'hilomithara:
s = v_o t + ½ ho² = 0 + ½ (4)(10²) = (2)(100) = limithara tse 200
4. Ntho e qalang ho tsamaya ka lebelo le sa fetoheng la 10 m/s e ba le phokotso e sa fetoheng ya 2 m/s.² ho fihlela e ema. Fumana nako le sebaka seo koloi e se tsamayang pele e ema.
Puisano
Hoa tsebahala hore:
Lebelo la pele (v)_o) = 10 m/s
Ho potlaka (a) = -2 m/s² (haeba e ntse e fokotseha, e fuoa lets'oao le lebe)
Lebelo la ho qetela (v)_t) = 0 (ntho e emisa ho tsamaya)
Potso: nako le sebaka se tsamailweng pele koloi e ema.
Karabo:
(a) Nako e sa fellang
Hobane ho tsebahala v_o,v_t, a mme a botswa t ebe o sebedisa foromo ya GLBB v_t = v_o + ho
v_t = v_o + ho
0 = 10 + (-2)(t)
0 = 10 – 2 t
10 = 2 t
t = 10 / 2 = metsotsoana e 5
Nako e sa fellang pele ho ema = metsotsoana e 5.
(b) Sebaka se tsamailweng
v_t² = v_o² + Li-axle tse 2
0 = 10² + 2(-2) s
0 = 100 – 4 metsotsoana
100 = metsotsoana e 4
s = 100 / 4 = limithara tse 25
Sebaka seo koloi e se tsamaileng pele e ema e ne e le limithara tse 25

5. Koloi e qalang ho tsamaya ka lebelo la 40 m/s e ba le phokotso e sa fetoheng ya 4 m/s.²Fumana lebelo le sebaka seo koloi e se tsamaileng ka mora ho fokotsa lebelo ka metsotsoana e 10.
Puisano
Hoa tsebahala hore:
Lebelo la pele (v)_o) = 40 m/s
Ho potlaka (a) = -4 m/s²
Nako ea ho arohana (t) = metsotsoana e 10
E botsitsoe: lebelo (v)_t) le sebaka (libaka) kamora ho fokotsa lebelo ka metsotsoana e 10
Karabo:
(a) Lebelo la ho qetela
v_t = v_o + ho = 40 + (-4)(10) = 40 – 40 = 0 m/s
Kamora ho fokotsa lebelo ka metsotsoana e 10, lebelo la koloi le fetoha ho 0 kapa koloi ea ema.
(b) Sebaka se tsamailweng
s = v_o t + ½ ho² = (40)(10) + ½ (-4)(10²) = 400 + (-2)(100) = 400 – 200 = limithara tse 200
Sebaka seo koloi e se tsamayang ka mora ho fokotsa lebelo ka metsotswana e 10 ho fihlela e ema ke dimithara tse 200.
6. Lebelo (v) la ntho e tsamayang moleng o otlolohileng kgahlanong le nako (t) le bontshitswe kerafong ya v-t. Sebaka se tsamailweng ke ntho ka metsotsoana e 5 ke…

Puisano
Sebaka se tsamailweng (s) = vt = (10-0)(5-0) = (10)(5) = limithara tse 50
7. Kerafo e ka lehlakoreng e bontsha motsamao wa koloi e tsamayang moleng o otlolohileng ka lebelo le sa fetoheng. Sebaka se tsamailweng ke koloi ka metsotsoana e 4 ke….

Puisano
Sebaka se tsamailoeng = sebaka sa sekwere + sebaka sa khutlotharo
Sebaka se tsamailweng = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = 96 metres
8. Kerafo e ka lehlakoreng e bontsha koloi e tsamayang moleng o otlolohileng ka lebelo le sa fetoheng. Sebaka se tsamailweng ke koloi ka metsotsoana e 4 ke….

Puisano
Sebaka se tsamailweng = sebaka sa khutlotharo = ½ (4-0)(8-0) = ½ (4)(8) = limithara tse 16

9. Sheba tafole e latelang!

Tafole e ka hodimo e bontsha dintho tse tharo tse tsamayang moleng o otlolohileng ka lebelo le sa fetoheng tse akaretsang sebaka se le seng. Lebelo la ho qetela la P le lebelo la pele la Q la dintho ke….

A. 20 ms^-1 le 20 ms^-1

B. 20 ms^-1 le 28 ms^-1

C. 20 ms^-1 le 40 ms^-1

D. 40 ms^-1 le 20 ms^-1

E. 40 ms^-1 le 40 ms^-1

Puisano

Sebaka se tsamailweng se a tshwana, kahoo qala ka ho bala sebaka se tsamailweng ke ntho ya nomoro ya 3.

Sebaka se tsamauoang ke ntho ea nomoro ea 3:

Hoa tsebahala hore:

Lebelo la pele (vo _o ) = 0 m/s

Lebelo la ho qetela (v)_t) = 30 m/s

Ho potlaka (a) = 3 m/s²

E botsitsoe Sebaka: Sebaka

Karabo:

v _t ² = v _o ² + 2 jwalo ka

v_t² - v_o² = Li-axle tse 2

30² - 0² = 2 (3) s

900 - 0 = metsotsoana e 6

900 = metsotsoana e 6

s = 900 / 6

s = limithara tse 150

Lebelo la ho qetela la ntho nomoro ea 1:

Hoa tsebahala hore:

Lebelo la pele (vo _o ) = 20 m/s

Ho potlaka (a) = 4 m/s²

Sebaka (li) = limithara tse 150

E botsitsoe : Lebelo la ho qetela (v_t)

Karabo:

v _t ² = v _o ² + 2 jwalo ka

v_t² = 20² + 2 (4)(150)

v_t² = 400 + 1200

v _t ² = 1600

v _t = 40 m/s

Lebelo la pele la ntho nomoro ea 2:

Hoa tsebahala hore:

Lebelo la ho qetela (v)_t) = 50 m/s

Ho potlaka (a) = 3 m/s²

Sebaka (li) = limithara tse 150

E botsitsoe Lebelo la pele (v)_o)

Karabo:

v _t ² = v _o ² + 2 jwalo ka

v_t² – 2 jwalo ka = v_o²

50² – 2(3)(150) = v_o²

2500 – 900 = v_o²

1600 = v_o²

v_o = 40 m/s

Karabo e nepahetseng ke E.

10. Lintho tse tharo li tsamaea ka mola o otlolohileng ka lebelo le sa fetoheng sefofaneng se bataletseng. Lintho tsohle tse tharo li tsamaea ka lebelo le tšoanang. Boholo ba lintho tse tharo ka mor'a metsotsoana e 10 ea motsamao bo bontšitsoe tafoleng e latelang:

Lintlha tsa P le Q tse tafoleng li na le boleng….

A. 6 le 140

B. 6 le 120

C. 4 le 120

D. 4 le 100

E. 1 le 100

Puisano

Ho potlaka ha lintho tse tharo hoa tšoana, ka hona qala ka ho bala ho potlaka ha ntho ea 1.

Ho potlakisa ntho ea 1:

Hoa tsebahala hore:

Lebelo la pele (vo _o ) = 2 m/s

Lebelo la ho qetela (v)_t) = 22 m/s

Sebaka (li) = limithara tse 120

E botsitsoe Sebaka: Sebaka

Karabo:

v _t ² = v _o ² + 2 jwalo ka

v_t² - v_o² = Li-axle tse 2

22² - 2² = 2 (120)

484 - 4 = 240 a

480 = 240 a

a = 480/240

a = 2 m/s ²

Lebelo la pele la ntho ea 2:

Hoa tsebahala hore:

Ho potlaka (a) = 2 m/s²

Lebelo la ho qetela (v)_t) = 24 m/s

Sebaka (li) = limithara tse 140

E botsitsoe Lebelo la pele (v)_o)

Karabo:

v _t ² = v _o ² + 2 jwalo ka

24² = v_o² + 2 (2)(140)

576 = v_o² + 560

576 – 560 = v_o²

16 = v_o²

v_o = 4 m/s

Sebaka sa ntho ea 3:

Hoa tsebahala hore:

Lebelo la pele (vo _o ) = 0 m/s

Lebelo la ho qetela (v)_t) = 20 m/s

Ho potlaka (a) = 2 m/s²

E botsitsoe Sebaka (s)

Karabo:

v _t ² = v _o ² + 2 jwalo ka

20² = 0² + 2 (2) s

20² = 2 (2) s

400 = 4 s

s = 400/4

s = limithara tse 100

Karabo e nepahetseng ke D.

Lipotso mabapi le motsamao o otlolohileng o potlakileng ka ho lekana

1. Koloi e qala e eme. Kamora metsotsoana e 5, lebelo la koloi le eketseha ho fihla ho 15 m/s. Fumana lebelo la koloi!
2. Koloi e qala ho tsamaya ka lebelo la 24 m/s e fokotsa lebelo la yona ho fihlela e ema kamora metsotswana e 3. Boholo ba ho fokotseha ha lebelo la koloi ke...
3. Ntho e phomotseng qalong e tsamaya ka lebelo le sa fetoheng la 5 m/s.²Fumana lebelo le sebaka se tsamailoeng kamora metsotsoana e 10.
4. Ntho e qalang ho tsamaya ka lebelo le sa fetoheng la 5 m/s e ba le phokotso e sa fetoheng ya 5 m/s.² ho fihlela e ema. Fumana nako le sebaka seo koloi e se tsamayang pele e ema.
5. Koloi e qalang ho tsamaya ka lebelo la 30 m/s e ba le phokotso e sa fetoheng ya 5 m/s.²Fumana lebelo le sebaka seo koloi e se tsamaileng ka mora ho fokotsa lebelo ka metsotsoana e 5.
6. Lebelo (v) la ntho e tsamayang moleng o otlolohileng kgahlanong le nako (t) le bontshitswe kerafong ya v-t. Sebaka se tsamailweng ke ntho ka metsotsoana e 10 ke…

7. Kerafo e ka lehlakoreng e bontsha motsamao wa koloi e tsamayang moleng o otlolohileng ka lebelo le sa fetoheng. Sebaka se tsamailweng ke koloi ka metsotsoana e 4 ke….

8. Kerafo e ka lehlakoreng e bontsha koloi e tsamayang moleng o otlolohileng ka lebelo le sa fetoheng. Sebaka se tsamailweng ke koloi ka metsotsoana e 4 ke….

[Senyesemane: Ho potlaka kamehla - mathata le litharollo]