Dziwani nthawi yoyendera projectile

Mavuto othetsedwa pakuyenda kwa projectile - kudziwa nthawi yopuma

1. Mpira wokankha umachoka pansi pa ngodya θ = 30^o kulowera mopingasa ndi liwiro loyambirira la 10 m/s. Werengani nthawi yokwanira kuti mufike kutalika kwakukulu! Kuthamanga kwa mphamvu yokoka ndi 10 m/s².

Zodziwika:

Ngodya (θ) = 30^o

Liwiro loyambirira (v)_o) = 10 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s²

Akufuna: Nthawi yofikira pa kutalika kwakukulu

Yankho:

Gawo loyima la liwiro loyambirira:

v_oy =v_o uchimo θ = (10 m/s)(uchimo 30^o) = (10 m/s)(0.5) = 5 m / s

Nthawi yofikira kutalika kwakukulu imatsimikiziridwa ndi kuyenda koyima Sankhani njira yopita mmwamba ngati yabwino ndi njira yotsikira pansi ngati yoipa.

Zodziwika:

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

Kuthamanga kwa mphamvu yokoka (g) = –10 m / s² (zoyipa pansi)

Liwiro lomaliza pa kutalika kwakukulu (v)_t= = 0

Akufuna: nthawi yopuma (t)

Yankho:

v_t =v_o + gt

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 ku yopingasa yokhala ndi liwiro loyambirira la 30 m/s. Werengani nthawi youluka! Kuthamanga kwa mphamvu yokoka ndi 10 m/s².

Zodziwika:

Ngodya (θ) = 30^o

Liwiro loyambirira (v)_o) = 8 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m / s²

Akufuna: Nthawi yopuma thupi lisanagwe pansi

Yankho:

Gawo loyima la liwiro loyambirira:

v_oy =v_o uchimo θ = (8 m/s)(uchimo 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 (zabwino mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = –10 m / s² (zoyipa pansi)

Liwiro lomaliza pa kutalika kwakukulu (v)_t= = 0

Akufuna: Nthawi yopuma (t)

Yankho:

v_t =v_o + gt

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 yopingasa kuchokera ku nyumba yotalika mamita 10. Liwiro lake loyamba ndi 40 m/s. Kodi thupi limatenga nthawi yayitali bwanji kuti lifike pansi? Kuthamanga kwa mphamvu yokoka ndi 10 m/s².

Zodziwika:

Ngodya (θ) = 30^o

Kutalika koyambirira (h)_o) = mamita 10

Liwiro loyambirira (v)_o) = 40 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m / s²

Akufuna: Nthawi mumlengalenga (t)

Yankho:

Gawo loyima la liwiro loyambirira:

v_oy =v_o uchimo θ = (40 m/s)(uchimo 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 (zabwino mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = –10 m / s² (zoyipa pansi)

Liwiro lomaliza pachimake (v)_t= = 0

Akufuna: Nthawi yopuma (t)

Yankho:

v_t =v_o + gt

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 kwaulere kwa kugwa. 

Zodziwika:

Kuthamanga kwa mphamvu yokoka (g) = 10 m / s²

Kutalika (h) = mamita 10

Akufuna: Nthawi yopuma (t)

Yankho:

h = 1/2 gt²

10 = 1/2 (10) t²

10 = 5 t²

t² = 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 wawung'ono woponyedwa mopingasa ndi liwiro loyambirira v_o = 15 m/s kuchokera ku nyumba ya mamita 5 kutalika. Werengani nthawi mumlengalengaKuthamanga kwa mphamvu yokoka ndi 10 m/s²

Zodziwika:

Kutalika (h) = mamita 5

Liwiro loyambirira (v)_o) = 15 m/s

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s²

SE basi: Nthawi mumlengalenga (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/s²

Akufuna: Nthawi yopuma (t)

Yankho:

h = 1/2 gt²

5 = 1/2 (10) t²

5 = 5 t²

t² = 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