Dziwani malo a chinthu chomwe chikuyenda mozungulira

Mavuto othetsedwa mu kayendedwe ka projectile - kudziwa malo a chinthu

1. Thupi limakwezedwa mmwamba pa ngodya ya 60 ^o kupita mopingasa ndi liwiro loyambirira la 12 m/s. Dziwani malo a chinthucho mutasuntha kwa sekondi imodzi! Kuthamanga kwa mphamvu yokoka ndi 10 m/s ².

Zodziwika:

Ngodya ( θ ) = 60 ^o

Liwiro loyambirira (v _o ) = 12 m/s

Nthawi yopuma (t) = sekondi imodzi

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

Kufunidwa: Malo a chinthucho mutasuntha kwa sekondi imodzi

Yankho:

Gawo lolunjika la liwiro loyambirira:

v _ng'ombe = v _o cos θ = (12 m/s) (cos 60 ^o ) = (12 m/s) (0.5) = 6 m/s

Gawo loyima la liwiro loyambirira:

v _oy = v _o tchimo θ = (12 m/s)(tchimo 60 ^o ) = (12 m/s) (0.5 √ 3 ) = 6 √ 3 m/s

Malo a chinthucho molunjika:

Zodziwika:

Chigawo chopingasa cha liwiro (v _x ) = 6 m/s

Nthawi yopuma (t) = sekondi imodzi

Kufunidwa: malo opingasa (x)

Yankho:

Mamita 6/sekondi amatanthauza kuti mpira umayenda mamita 6 pa sekondi imodzi iliyonse. Mtunda wa mpira ukayenda kwa sekondi imodzi ndi mamita 6. Chifukwa chake malo a mpirawo mopingasa ndi mamita 6.

Malo a chinthucho panjira yoyimirira:

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

Zodziwika:

Liwiro loyambirira (v _o ) = 6 √ 3 m/s (kukwera mmwamba)

Nthawi yopuma (t) = sekondi imodzi

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

Amafuna: kutalika atasuntha kwa sekondi imodzi

Yankho:

h = v_o 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 = mamita 5.2.

Malo a chinthucho mutasuntha kwa sekondi imodzi:

Kusuntha kopingasa (x) = mamita 6

Kusuntha koyima (y) = mamita 5.2

[irp]

2. Thupi limakwezedwa mmwamba pa ngodya ya 30 ^o kupita mopingasa kuchokera ku nyumba ya mamita 20 kutalika. Liwiro lake loyamba ndi 50 m/s. Werengani kusuntha koyima thupi likasuntha kwa sekondi imodzi! Kuthamanga kwa mphamvu yokoka ndi 10 m/s ².

Zodziwika:

Ngodya ( θ ) = 30 ^o

Kutalika koyambirira (h _o ) = mamita 20

Liwiro loyambirira (v _o ) = 50 m/s

Nthawi yopuma (t) = sekondi imodzi

Kuthamanga kwa mphamvu yokoka (g) = 1 0 m/s ²

Kufunidwa: Kutalika (h)

Yankho:

Gawo loyima la liwiro loyambirira:

v _oy = v _o tchimo θ = (50 m/s) (tchimo 30 ^o ) = (50 m/s) (0.5) = 25 m/s

Kutalika:

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

Zodziwika:

Liwiro loyambirira (v _o ) = 25 m/s (zabwino mmwamba)

Nthawi yopuma (t) = sekondi imodzi

Kuthamanga kwa mphamvu yokoka (g) = -1 0 m/s ² (yoyipa pansi)

Kufunidwa: Kutalika (h)

Yankho:

h = vot ₊ 1/2 gt ^{​​​​2} = (25)(1) + 1/2 (-10)(1 ² ) = 25 + (-5)(1) = 25 - 5 = mamita 20.

Kutalika kwa thupi pambuyo posuntha kwa sekondi imodzi kumakhala mamita 20 pamwamba pa malo omwe thupilo lili kapena mamita 40 pamwamba pa nthaka.

[irp]

3. Mpira waung'ono umapimidwa mopingasa ndi liwiro loyambirira v _o = 10 m/s kuchokera ku nyumba ya mamita 10 kutalika. Werengani kusamuka kwa mpira mutasuntha kwa sekondi imodzi ! Kuthamanga kwa mphamvu yokoka ndi 10 m/s ²

Zodziwika:

Kutalika koyambirira (h) = mamita 10

Liwiro loyambirira (v _o ) = 10 m/s

Nthawi yopuma (t) = sekondi imodzi

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

Akufuna: Malo a mpira atasuntha sekondi imodzi!

Yankho:

Kusamutsa kopingasa:

Zodziwika:

Chigawo chopingasa cha liwiro (v _x ) = 10 m/s

Nthawi yopuma (t) = sekondi imodzi

Kufunidwa: Malo a chinthucho

Yankho:

Mamita 10/sekondi amatanthauza kuti chinthucho chimayenda mpaka mamita 10 sekondi iliyonse. Kusuntha pambuyo posuntha kwa sekondi imodzi ndi mamita 10. Choncho kusuntha kopingasa ndi mamita 10.

Kusamutsa koyima:

Kuwerengedwa ngati kuyenda kwa free fall.

Zodziwika:

Nthawi yopuma (t) = sekondi imodzi

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

Kufunidwa: Kutalika mutasuntha kwa sekondi imodzi (h)

Yankho:

h = 1/2 gt ^{​​​​2} = 1/2 (10)(1 ² ) = (5)(1) = mamita 5.

Pambuyo pa sekondi imodzi, chinthucho chimagwa mpaka mamita 5. Kutalika pamwamba pa nthaka = mamita 10 - mamita 5 = mamita 5.

Malo a chinthucho mutasuntha sekondi imodzi:

Malo a chinthucho mopingasa (x) = mamita 10

Malo a chinthucho pamalo oyima (y) = mamita 5

[irp]

[wpdm_package id='532′]

[wpdm_package id='536′]

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 chinthucho
6. Dziwani liwiro lomaliza