An warware matsalolin da ke cikin motsin harsashi - ƙayyade matsayin abu
1. Ana haska jiki sama a kusurwar 60 o zuwa kwance tare da saurin farko na 12 m/s. Kayyade matsayin abin bayan ya motsa na daƙiƙa 1! Saurin nauyi shine 10 m/s 2.
An sani:
Kusurwoyi ( θ ) = 60 o
Saurin farko (v o ) = 12 m/s
Tazarar lokaci (t) = daƙiƙa 1
Saurin nauyi (g) = 10 m/s 2
Ana so: Matsayin abu bayan motsi na daƙiƙa 1
Magani:
Sashen kwance na saurin farko:
v ox = v o cos θ = (12m/s) (cos 60 o ) = (12m/s) (0.5) = 6 m/s
Bangaren tsaye na saurin farko:
v oy = v o sin θ = (12m/s)(sin 60 o ) = (12m/s)(0.5 √ 3 ) = 6 √ 3 m/s
Matsayin abu a kwance:
An sani:
Sashen kwance na gudu (v x ) = 6 m/s
Tazarar lokaci (t) = daƙiƙa 1
Ana so: kewayon kwance (x)
Magani:
Mita 6 / daƙiƙa yana nufin ƙwallon yana motsawa har zuwa mita 6 a kowace daƙiƙa 1. Nisa da ƙwallon bayan ya motsa na daƙiƙa 1 shine mita 6. Don haka matsayin ƙwallon a kwance shine mita 6.
Matsayin abu a tsaye:
Zaɓi hanyar sama a matsayin mai kyau, kuma hanyar ƙasa a matsayin mara kyau.
An sani:
Saurin farko (v o ) = 6 √ 3 m/s (mai kyau sama)
Tazarar lokaci (t) = daƙiƙa 1
Saurin nauyi (g) = -10 m/s 2 (ƙasa ta ƙasa)
Ana so: tsayi bayan motsi na daƙiƙa 1
Magani:
h = vo t + 1/2 gt2 = (6√3)(1) + 1/2 (-10)(1)2) = 6√3 + (-5)(1) = 6√3 – 5 = 6(1.7) – 5 = 10.2 – 5 = mita 5.2.
Matsayin abu bayan motsi na daƙiƙa 1:
Matsar da aka yi a kwance (x) = mita 6
Matsar tsaye (y) = mita 5.2
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2. An haska jiki sama a kusurwar 30 o zuwa kwance daga gini mai tsayin mita 20. Saurinsa na farko shine m50/s. Lissafa motsi a tsaye bayan jikin ya motsa na daƙiƙa 1! Saurin nauyi shine m10/s 2.
An sani:
Kusurwoyi ( θ ) = 30 o
Tsawon farko (h o ) = mita 20
Saurin farko (v o ) = 50 m/s
Tazarar lokaci (t) = daƙiƙa 1
Saurin nauyi (g) = 1 0 m/s 2
Ana so: Tsawo (h)
Magani:
Bangaren tsaye na saurin farko:
v oy = v o sin θ = (50m/s)(sin 30 o ) = (50 m/s)(0.5) = 25 m/s
Height:
Zaɓi hanyar sama a matsayin mai kyau, kuma hanyar ƙasa a matsayin mara kyau.
An sani:
Saurin farko (v o ) = 25 m/s (sama mai kyau)
Tazarar lokaci (t) = daƙiƙa 1
Hanzarta nauyi (g) = -1 0 m/s 2 (ƙasa ta ƙasa)
Ana so: Tsawo (h)
Magani:
h = v o t + 1/2 gt 2 = (25)(1) + 1/2 (-10)(1 2 ) = 25 + (-5)(1) = 25 – 5 = mita 20.
Tsayin jiki bayan ya yi motsi na daƙiƙa 1 yana da mita 20 a sama inda aka hango jikin ko kuma mita 40 a sama da ƙasa.
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3. Ana hango ƙaramin ƙwallon a kwance tare da saurin farko v o = 10 m/s daga gini mai tsayin mita 10. Lissafa motsin ƙwallon bayan ya motsa daƙiƙa 1 ! Saurin nauyi shine 10 m/s 2
An sani:
Tsawon farko (h) = mita 10
Saurin farko (v o ) = 10 m/s
Tazarar lokaci (t) = daƙiƙa 1
Saurin nauyi (g) = 10 m/s 2
Ana nema: Matsayin ƙwallon bayan motsi daƙiƙa 1!
Magani:
Matsar da aka yi a kwance:
An sani:
Sashen kwance na gudu (v x ) = 10 m/s
Tazarar lokaci (t) = daƙiƙa 1
Ana so: Matsayin abin
Magani:
Mita 10/daƙiƙa yana nufin abin yana motsawa har zuwa mita 10 a kowace daƙiƙa 1. Motsawa bayan motsi na daƙiƙa 1 mita 10 ne. Don haka motsi a kwance mita 10 ne.
Matsar tsaye:
An ƙididdige shi azaman motsi na faɗuwar 'yanci.
An sani:
Tazarar lokaci (t) = daƙiƙa 1
Saurin nauyi (g) = 10 m/s 2
Ana so: Tsawo bayan motsi na daƙiƙa 1 (h)
Magani:
h = 1/2 gt 2 = 1/2 (10)(1 2 ) = (5)(1) = mita 5.
Bayan daƙiƙa 1, abin zai faɗi har zuwa mita 5. Tsayin da ke sama da matakin ƙasa = mita 10 – mita 5 = mita 5.
Matsayin abin bayan motsi na daƙiƙa 1:
Matsayin abin a kwance (x) = mita 10
Matsayin abin a tsaye (y) = mita 5
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- Warware saurin farko zuwa sassan kwance da a tsaye
- Ƙayyade ƙaura a kwance
- Ƙayyade matsakaicin tsayi
- Ƙayyade tazarar lokaci
- Ƙayyade matsayin abin
- Ƙayyade saurin ƙarshe
