Matsalolin da aka Warware a Motsin Layi - Abubuwa masu faɗuwa cikin 'yanci
1. Wani abu ya faɗo daga saman wani dutse. Ana ganin ya faɗi ƙasa a ƙasa bayan daƙiƙa 3. A ƙayyade saurinsa kafin ya faɗi ƙasa. Saurin nauyi shine 10 m/s 2. A yi watsi da juriyar ruwa.
An sani:
Saurin farko (v o ) = 0 (an sauke abu)
Tazarar lokaci (t) = daƙiƙa 3
Saurin nauyi (g) = 10 m/s 2
Ana so: Saurin ƙarshe (v t )
Magani:
Saurin gudu saboda nauyi a saman duniya, girmansa shine 9.8 m/s 2. Domin sauƙaƙa lissafi, muna amfani da 10 m/s 2.
10 m/s 2 ko 10 m/s / daƙiƙa 1, yana nufin cewa saurin yana ƙaruwa a layi a cikin lokaci da 10 m/s a cikin kowane daƙiƙa.
Bayan daƙiƙa 1, saurin abu = 10 m/s
Bayan daƙiƙa 2, saurin abu = 20 m/s
Bayan daƙiƙa 3, saurin abu = 30 m/s.
Haka kuma za mu iya amfani da lissafin kinematic don motsi a cikin hanzari akai-akai , kamar yadda aka nuna a ƙasa.
v t = v o + a
s = v o t + ½ a 2
v t 2 = v o 2 + 2 kamar yadda
Faɗuwar 'yanci ba ta da saurin farko (v o = 0), don haka ana iya canza lissafin da ke sama kamar yadda aka nuna a ƙasa:
Daidaito na motsi na faɗuwa kyauta :
v t = gt ………… 1
h = ½ gt 2 ………… 2
v t 2 = 2 gh ………….. 3
v t = gt
v t = (10)(3)
v t = 30 m/s
Gudun ƙarshe shine 30 m/s
[irp]
2. Jiki ya faɗi cikin 'yanci daga hutawa, daga tsayin mita 25. Nemo (a) Saurin da yake yi wa ƙasa. (b) Lokacin da ake ɗauka kafin a isa ƙasa.
Saurin gudu saboda nauyi a saman Duniya shine 10 m/s 2.
An sani:
Tsawo (h) = mita 5
Saurin nauyi (g) = 10 m/s 2
Ana so:
(a) Saurin ƙarshe (v t )
(b) Tazarar lokaci (t)
Magani:
Daidaiton 'Free fall':
v t = gt
h = ½ gt 2
v t 2 = 2 gh
(a) Saurin ƙarshe (v t )
v t 2 = 2 gh = 2(10)(5) = 100
v t = 10 m/s
(b) Tazarar lokaci (t)
h = ½ gt 2
5 = ½ (10) t 2
5 = 5 t 2
t 2 = 5/5 = 1
t = daƙiƙa 1
[irp]
3. Ƙwallo ta faɗi daga tsayi. Nemo (a) Hanzari (b) Nisa bayan daƙiƙa 3 (c) Lokacin da ke cikin iska idan saurin ƙarshe ya kai m20/s. Hanzari saboda nauyi = m10/s 2
An sani :
Saurin nauyi (g) = 10 m/s 2
Ana so:
(a) Hanzartawa (a)
(b) Nisa ko tsayi (h) idan lokaci ya wuce (t) = daƙiƙa 3
(c) Tazarar lokaci (t) idan v t = 20 m/s
Magani:
Daidaiton 'Free fall':
v t = gt
h = ½ gt 2
v t 2 = 2 gh
(a) Hanzartawa (a)
Hawan sauri = hanzari saboda nauyi = 10 m/s 2. Yana nufin ƙaruwar gudu da 10 m/s a kowace daƙiƙa.
(b) Nisa ko tsayi (h) bayan t = daƙiƙa 3
h = ½ gt 2 = ½ (10)(3) 2 = (5)(9) = mita 45
(c) Lokaci ya shude (t) idan v t = 20 m/s
v t = gt
20 = (10) t
t = 20/10 = daƙiƙa 2
[irp]
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- Nisa da ƙaura
- Matsakaicin gudu da matsakaicin gudu
- Gudun da ba ya canzawa
- Ci gaba da hanzari akai-akai
- Motsin faɗuwa kyauta
- Motsin ƙasa a cikin faɗuwar 'free fall'
- Motsin sama da ƙasa a cikin faɗuwar 'yanci
