Dziwani nthawi yoyendera projectile

Mavuto othetsedwa mu kayendedwe ka projectile - dziwani nthawi yomwe ikupita

1. Mpira wokankha umachoka pansi pa ngodya θ = 30 ^o kupita mopingasa ndi liwiro loyambirira la 10 m/s. Werengani nthawi yokwanira kuti mufike kutalika kwakukulu! Kuthamanga kwa mphamvu yokoka ndi 10 m/s ².

Zodziwika:

Ngodya (θ) = 3 0 ^o

Liwiro loyambirira (v _o ) = 10 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Kufunidwa: Nthawi yofikira kutalika kwakukulu

Yankho:

Gawo loyima la liwiro loyambirira:

v _oy = v _o tchimo θ = (10 m/s) (tchimo 30 ^o ) = (10 m/s) (0.5) = 5 m/s

Nthawi yoti mufike kutalika kwakukulu imatsimikiziridwa ndi equation yoyenda molunjika . Sankhani njira yopita mmwamba ngati yabwino ndi njira yotsika ngati yoipa.

Zodziwika:

Liwiro loyambirira (v _o ) = 5 m/s (zabwino mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = – 10 m/s ² (yoyipa pansi)

Liwiro lomaliza pa kutalika kwakukulu (v _t ) = 0

Kufunidwa: nthawi yopuma (t)

Yankho:

v _t = vo _o + g t

0 = 5 + (-10)t

0 = 5 - 10 t

5 = 10 t

t = 5/10 = 0.5 s

2. Thupi limakwezedwa mmwamba pa ngodya ya 30 ^o kupita mopingasa ndi liwiro loyambirira la 30 m/s. Werengani nthawi youluka! Kuthamanga kwa mphamvu yokoka ndi 10 m/s ².

Zodziwika:

Ngodya (θ) = 3 0 ^o

Liwiro loyambirira (v _o ) = 8 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Akufuna: Nthawi yopuma thupi lisanagwe pansi

Yankho:

Gawo loyima la liwiro loyambirira:

v _oy = v _o tchimo θ = (8 m/s) (tchimo 30 ^o ) = (8 m/s) (0.5) = 4 m/s

Choyamba timawerengera nthawi kuti tifike kutalika kwakukulu pogwiritsa ntchito equation ya kuyenda koyima.

Sankhani njira yopita mmwamba ngati yabwino ndipo njira yopita pansi ngati yoipa.

Zodziwika:

Liwiro loyambirira (v _o ) = 4 m/s (lokwera mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = – 10 m/s ² (yoyipa pansi)

Liwiro lomaliza pa kutalika kwakukulu (v _t ) = 0

Kufunidwa: Nthawi yopuma (t)

Yankho:

v _t = vo _o + g t

0 = 4 + (-10)t

0 = 4 - 10 t

4 = 10 t

t = 4/10 = 0,4 s

Nthawi yoti mufike kutalika kwakukulu ndi masekondi 0.4.

Nthawi mumlengalenga ndi 2 x 0.4 s = 0.8 s.

3. Thupi limakwezedwa mmwamba pa ngodya ya 30 ^o ndi kutalika kwa mamita 10 kuchokera ku nyumba. Liwiro lake loyamba ndi 40 m/s. Kodi thupi limatenga nthawi yayitali bwanji kuti lifike pansi? Kuthamanga kwa mphamvu yokoka ndi 10 m/s ².

Zodziwika:

Ngodya (θ) = 3 0 ^o

Kutalika koyambirira (h _o ) = mamita 10

Liwiro loyambirira (v _o ) = 40 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Kufunidwa: Nthawi mumlengalenga (t)

Yankho:

Gawo loyima la liwiro loyambirira:

v _oy = v _o tchimo θ = (40 m/s) (tchimo 30 ^o ) = (40 m/s) (0.5) = 20 m/s

Choyamba timawerengera nthawi kuti tifike kutalika kwakukulu pogwiritsa ntchito equation ya kuyenda koyima.

Sankhani njira yopita mmwamba ngati yabwino ndipo njira yopita pansi ngati yoipa.

Zodziwika:

Liwiro loyambirira (v _o ) = 20 m/s (lokwera mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = – 10 m/s ² (yoyipa pansi)

Liwiro lomaliza pachimake (v _t ) = 0

Kufunidwa: Nthawi yopuma (t)

Yankho:

v _t = vo _o + g t

0 = 20 + (-10)t

0 = 20 - 10 t

20 = 10 t

t = 20/10 = masekondi awiri

Nthawi mumlengalenga = masekondi awiri x awiri = masekondi anayi.

Chinthucho chili pamtunda wa mamita 10 kuchokera pansi. Masekondi 4 ndi nthawi yoti mufike pamalo ofanana ndi malo oyamba. Mpirawo ukusunthirabe pansi.

Nthawi yofikira pansi imawerengedwa pogwiritsa ntchito equation ya kuyenda kwa free fall.

Zodziwika:

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Kutalika (h) = mamita 10

Kufunidwa: Nthawi yopuma (t)

Yankho:

h = 1/2 gt ^{​​​​2}

10 = 1/2 (10) t ²

10 = 5 t ²

t ² = 10/5 = 2

t = √2 = masekondi 1.4

Nthawi yopuma = masekondi 1.4.

Nthawi yonse = masekondi 4 + masekondi 1.4 = masekondi 5.4.

4. Mpira waung'ono umapimidwa mopingasa ndi liwiro loyambirira v _o = 15 m/s kuchokera ku nyumba ya mamita 5 kutalika. Werengani nthawi mumlengalenga ! Kuthamanga kwa mphamvu yokoka ndi 10 m/s ²

Zodziwika:

Kutalika (h) = mamita 5

Liwiro loyambirira (v _o ) = 15 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Akufuna: Nthawi mlengalenga (t)

Yankho:

Nthawi yomwe ili mlengalenga imawerengedwa pogwiritsa ntchito equation ya kuyenda koyenda momasuka.

Zodziwika:

Kutalika (h) = mamita 5

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s ²

Kufunidwa: Nthawi yopuma (t)

Yankho:

h = 1/2 gt ^{​​​​2}

5 = 1/2 (10) t ²

5 = 5 t ²

t ² = 5/5 = 1

t = √1 = sekondi imodzi

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1. Konzani liwiro loyambirira kukhala magawo opingasa ndi olunjika
2. Dziwani kusamuka kopingasa
3. Dziwani kutalika kwakukulu
4. Dziwani nthawi yomwe imatenga nthawi
5. Dziwani malo a zinthu
6. Dziwani liwiro lomaliza