1. Ƙwallon ƙafa da aka harba ta bar ƙasa a kusurwa θ = 30 o zuwa kwance tare da saurin farko na 14 m/s. Lissafa saurin ƙarshe kafin ƙwallon ta faɗi ƙasa.
An sani:
Kusurwoyi ( θ ) = 3 0 o
Saurin farko (v o ) = 14 m/s
Saurin nauyi (g) = 10 m/s 2
Ana nema: Saurin ƙarshe kafin ƙwallon ta faɗi ƙasa
Magani:
Sashen kwance na saurin farko:
v ox = v o cos θ = (14 m/s) (cos 30 o ) = (14 m/s) (0.5 √ 3 ) = 7 √ 3 m/s
Bangaren tsaye na saurin farko:
v oy = v o sin θ = (14m/s)(sin 30 o ) = (14m/s)(0.5) = 7 m/s
Saurin ƙarshe a tsaye a alkibla
Zaɓi hanyar sama a matsayin mai kyau, kuma hanyar ƙasa a matsayin mara kyau.
An sani:
Saurin farko (v o ) = 7 m/s (sama mai kyau)
Saurin nauyi (g) = – 10 m/s 2 (ƙasa ta ƙasa)
Tsawo (h) = 0 (abin da aka mayar zuwa matsayin farko)
Ana so: Saurin ƙarshe (v t )
Magani:
v t 2 = v o 2 + 2 gh = 7 2 + 2 (-10) (0) = 49 - 0 = 49
v t = √49 = 7 m/s
Saurin ƙarshe a kwance a alkibla
Gudun farko a cikin alkiblar kwance shine 7 √ 3 m/s. Gudun yana da daidaito don haka saurin ƙarshe yayi daidai da saurin farko.
Saurin ƙarshe kafin abu ya faɗi ƙasa
2. An haska jiki sama a kusurwar 30 o tare da tsayin daka daga gini mita 5. Saurinsa na farko shine m10/s. A lissafta saurin ƙarshe kafin abin ya faɗo ƙasa! Saurin nauyi shine m10/s 2.
An sani:
Kusurwoyi ( θ ) = 30 o
Tsawon farko (h o ) = mita 5
Saurin farko (v o ) = 10 m/s
Saurin nauyi (g) = 10 m/s 2
Ana so: Saurin ƙarshe
Magani:
Sashen kwance na saurin farko:
v ox = v o cos θ = (10 m/s) (cos 30 o ) = (10 m/s) (0.5 √ 3 ) = 5 √ 3 m/s
Bangaren tsaye na saurin farko:
v oy = v o sin θ = (10m/s)(sin 30 o ) = (10m/s)(0.5) = 5 m/s
Saurin ƙarshe a tsaye a alkibla
An sani:
Saurin farko (v o ) = 5 m/s (sama mai kyau)
Saurin nauyi (g) = – 10 m/s 2 (ƙasa ta ƙasa)
Tsawo (h) = -5 m ( mara kyau saboda ƙasa tana ƙasa da tsayin farko)
Ana so: Saurin ƙarshe (v t )
Magani:
v t 2 = v o 2 + 2 gh = 5 2 + 2 (-10) (-5) = 25 + 100 = 125
v t = √125 m/s
Saurin ƙarshe a kwance a alkibla
Saurin ƙarshe a kwance shine 5 √3 m/s.
Saurin ƙarshe
3. Ana hango ƙaramin ƙwallon a kwance tare da saurin farko v o = 8 m/s daga gini mai tsayin mita 12. Lissafa saurin ƙarshe kafin ƙwallon ta faɗi ƙasa ! Saurin nauyi shine 10 m/s 2
An sani:
Tsawo (h) = mita 12
Saurin farko (v o ) = 8 m/s
Saurin nauyi (g) = 10 m/s 2
Ana so: Saurin ƙarshe (v t )
Magani:
Sashen kwance na saurin farko:
v ox = v o = 8 m/s
Bangaren tsaye na saurin farko:
v oy = 0 m/s
Saurin ƙarshe a tsaye a alkibla
an ƙididdige ta amfani da lissafin motsi na faɗuwa kyauta.
An sani:
Saurin nauyi (g) = 10 m/s 2
Tsawo (h) = mita 12
Ana so: Saurin ƙarshe (v t )
Magani:
v t 2 = 2 gh = 2(10)(12) = 240
v t = √240 m/s
Saurin ƙarshe a kwance a alkibla
Gudun farko a alkiblar kwance shine 8 m/s. Gudun yana nan akai-akai don haka saurin farko yayi daidai da saurin ƙarshe. Don haka saurin ƙarshe a alkiblar kwance shine 8 m/s.
Saurin ƙarshe
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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
