Matsalolin da aka Warware a Motsin Layi - Motsin Ƙasa a lokacin faɗuwar 'yanci
1. Ana jefa ƙwallon a tsaye ƙasa da saurin farko na 10 m/s kuma ta isa ƙasa cikin daƙiƙa 2. Nemo saurin ƙarshe kafin ƙwallon ta faɗi ƙasa. Saurin nauyi (g) = 10 m/s 2. Yi watsi da juriyar ruwa.
An sani:
Saurin farko (v o ) = 10 m/s
Lokacin da ya shude (t) = daƙiƙa 2
Saurin nauyi (g) = 10 m/s 2
Ana so: Saurin ƙarshe (v t )
Magani:
Hanzari 10 m/s 2 yana nufin ƙaruwar gudu da m/s 10 a kowace daƙiƙa. Bayan daƙiƙa 3, gudu = m/s 30.
Saurin ƙarshe = 10 m/s + 20 m/s = 30 m/s.
Lissafin kinematic don motsi a cikin hanzari akai-akai , kamar yadda aka nuna a ƙasa:
v t = v o + a ………. 1
h = v o t + ½ a 2 ………. 2
v t 2 = v o 2 + 2 ah………. 3
v t = v o + g t
v t = 10 + (10)(2)
v t = 10 + 20 = 30 m/s
Saurin ƙarshe = v t = 30 m/s
[irp]
2. Ana jefa dutse a tsaye daga gada mai saurin farko na m 5/s kuma ya isa ruwan cikin daƙiƙa 2. A ƙididdige tsayin gadar.
An sani:
Saurin farko (v o ) = 5 m/s
Lokacin da ya shude (t) = daƙiƙa 2
Saurin gudu saboda nauyi (g) = 10 m/s 2
Ana so: tsayin gadar (h)
Magani:
h = v o t + ½ gt 2
h = (5)(2) + ½ (10)(2) 2
h = 10 + (5)(4)
h = 10 + 20
h = mita 30
[irp]
3. Ana jefa ƙwallon a tsaye ƙasa da saurin farko na mita 10/s daga tsayin mita 80. Nemo (a) Lokacin da ake cikin iska (b) Saurin ƙarshe kafin ƙwallon ta faɗi ƙasa.
An sani:
tsayi (h) = mita 80
Saurin farko (v o ) = 10 m/s
Saurin nauyi (g) = 10 m/s 2
Ana so:
(a) Tazarar lokaci (t)
(b) Saurin ƙarshe (v t )
Magani:
(a) Tazarar lokaci (t)
Saurin ƙarshe:
v t 2 = v o 2 + 2 gh
v t 2 = (10) 2 + 2(10)(80) = 100 + 1600 = 1700
v t = 41 m/s
Tazarar lokaci (t):
v t = v o + g t
41 = 10 + (10)(t)
41 – 10 = 10 t
31 = 10t
t = 31/10 = daƙiƙa 3,1
(b) Saurin ƙarshe (v t )?
v t = 41 m/s
[irp]
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- Motsin sama da ƙasa a cikin faɗuwar 'yanci
