Kuyenda ndi kuthamanga kosalekeza - mavuto ndi mayankho

Mavuto Othetsedwa mu Linear Motion - Kuthamanga Kokhazikika

1. Galimoto imathamanga kuchokera pamalo opumula kufika pa 20 m/s mu masekondi 10. Dziwani kuthamanga kwa galimotoyo!

Anakonza

Zodziwika:

Liwiro loyambirira (v)_o) = 0 (kupuma)

Nthawi yopuma (t) = masekondi 10

Liwiro lomaliza (v)_t) = 20 m/s

anafuna Kuthamanga (a)

Yankho:

v_t =v_o + pa

20 = 0 + (a)(10)

20 = 10 a

a = 20 / 10

a = 2 m/s²

2. Galimoto ikuthamanga pang'onopang'ono kuchoka pa 30 m/s kuti ipumule mu masekondi 10. Dziwani liwiro la galimotoyo.

Anakonza

Zodziwika:

Liwiro loyambirira (v)_o) = 30 m/s

Liwiro lomaliza (v)_t= = 0

Nthawi yopuma (t) = masekondi 10

Akufuna: kufulumizitsa (a)

Yankho:

v_t =v_o + pa

0 = 30 + (a)(10)

– 30 = 10 a

a = – 30/10

a = -3 m/s²

Chizindikiro choyipa chimawonekera chifukwa chomaliza kuthamanga liwiro lake ndi locheperapo kuposa liwiro loyamba.

3. Galimoto imayamba ndi kuthamanga pa liwiro losasintha la 4 m/s² in Sekondi imodzi. Dziwani liwiro ndi mtunda pambuyo pa masekondi 10.

Anakonza

(a) Liwiro

Kuthamanga 4 m/s² Kutanthauza kuti liwiro limakwera ndi 4 m/s sekondi imodzi iliyonse. Pambuyo pa masekondi awiri, liwiro la galimotoyo ndi 8 m/s. Pambuyo pa masekondi 10, liwiro la galimotoyo ndi 40 m/s.

(b) Mtunda

Zodziwika:

Liwiro loyambirira (v)_o= = 0

Liwiro lomaliza (v)_t) = 40 m/s

Kuthamanga (a) = 4 m/s²

Akufuna: Distance

Yankho:

s = v_o t + ½ pa² = 0 + ½ (4)(10²) = (2)(100) = mamita 200

4. Galimoto imayenda pa liwiro losasintha la 10 m/s, kenako imatsika pang'onopang'ono pa liwiro losasintha la 2 m/s² mpaka mutapumula. Dziwani nthawi yomwe yatha komanso ya galimoto mtunda musanapumule.

Zodziwika:

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

Kuthamanga (a) = -2 m/s² (Chizindikiro chotsutsa chimawonekera chifukwa liwiro lomaliza ndi lochepera kuposa liwiro loyambirira)

Liwiro lomaliza (v)_t) = 0 (kupuma)

Akufuna: Nthawi ndi mtunda

Yankho:

(a) Nthawi yopuma (t)

v_t =v_o + pa

0 = 10 + (-2)(t)

0 = 10 - 2 t

10 = 2 t

t = 10 / 2 = masekondi awiri

(b) Mtunda

v_t² =v_o² + ma axle awiri

0 = 10² + 2(-2) s

0 = 100 – 4 masekondi

100 = masekondi 4

s = 100 / 4 = mamita 25

5. Galimoto imayenda pa liwiro la 40 m/s, imathamanga pang'onopang'ono pa liwiro losasintha la 4 m/s² mpaka mutapumula. Dziwani liwiro ndi mtunda mutachepetsa liwiro m'masekondi 10!

Anakonza

Zodziwika:

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

Kuthamanga (a) = -4 m/s²

Nthawi yopuma (t) = masekondi 10

Akufuna: liwiro lomaliza (v)_t) ndi mtunda (ma)

Yankho:

(a) Liwiro lomaliza

v_t =v_o + pa = 40 + (-4)(10) = 40 – 40 = 0 m/s

0 m/s amatanthauza kupuma kwa galimoto.

(b) Mtunda

s = v_o t + ½ pa² = (40)(10) + ½ (-4)(10)²) = 400 + (-2)(100) = 400 – 200 = mamita 200

6. Dziwani mtunda pambuyo pa masekondi 10!

Anakonza

Kutalikirana: s = vt = (10-0)(5-0) = (10)(5) = mamita 50

7. Dziwani mtunda pambuyo pa masekondi 4!

Anakonza

Mtunda = malo ozungulira + malo ozungulira atatu

Mtunda = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = mamita 96

8. Dziwani mtunda wa galimoto patatha masekondi anayi!

Anakonza

Mtunda = malo amakona atatu = ½ (4-0)(8-0) = ½ (4)(8) = mamita 16

9. Galimoto ikuyenda pa liwiro la 90 km/h kudutsa galimoto ya apolisi yomwe imayima m'mbali mwa msewu. Patapita mphindi imodzi, galimoto ya apolisi ikuwathamangitsa at 0.8 m / s². Kutali komwe galimoto ya apolisi imafikiraes galimoto?

Zodziwika:

Liwiro la galimoto (v) = 90 km/ola = 90,000 metres / masekondi 3600 = 25 metres/sekondi

Nthawi yopuma (t) = mphindi imodzi = masekondi 60

Kuthamanga kwa galimoto ya apolisi (a) = 0.8 m/s²

Liwiro loyamba la galimoto ya apolisi (v)_o) = 0 m/s

Akufuna: Mtunda woyenda ndi galimoto ya apolisi

Yankho:

Galimoto imayenda mofulumira kwambiri. Mtunda woyenda ndi galimoto:

Mtunda woyambira:

s = vt = (25)(60) = mamita 1500

Mtunda womaliza:

s = vt = (25)(t)

Mtunda wonse = 1500 + 25 t

Galimoto ya apolisi imayenda mofulumira kwambiri. Mtunda woyenda ndi galimoto ya apolisi:

s = v_o t + ½ pa² = (0)(t) + ½ (0.8)(t²) = 0 + 0.4 t² = 0.4 t²

Galimoto ya apolisi ikafika pagalimoto, mtunda womwe galimoto ya apolisi imayendera umakhala wofanana ndi mtunda womwe galimotoyo imayendera.

Mtunda woyenda ndi galimoto = mtunda woyenda ndi galimoto ya apolisi

1500 + 25 t = 0.4 t²

0.4 t² – 25 t – 1500 = 0

Gwiritsani ntchito njira ya quadratic:

Mtunda woyenda ndi galimoto ya apolisi:

s = 0.4 t² = (0.4)(100²) = (0.4)(10,000) = mamita 4000s = 4 km

10. A galimoto imayenda pa liwiro losasintha la 24 m/s mabuleki kotero kuti ali ndi kuchepa kwa liwiro kosalekeza ya 0.952 m/s². Dziwani liwiro la galimotopambuyo pa mtunda wa 250 meters.

Zodziwika:

Liwiro loyambirira (v)_o) = 24 m/s

mofulumira (a) = – 0.952 m/s² (chizindikiro choipa chifukwa cha kuchepa kwa liwiro)

Distance (d) = mamita 250s

Akufuna: Liwiro la galimoto pambuyo pake Mphindi wa 250s

Yankho:

Chodziwika: liwiro loyamba (v_o), kuthamanga (a), mtunda (d), kufunidwa: liwiro lomaliza (v_t) choncho gwiritsani ntchito equation ya v_t² =v_o² + 2 a d

v_t = liwiro lomalizamu_o = liwiro loyambirira, a = kuthamanga, d = mtunda

v_t² = (24)² + (2)(-0.952)(250)

v_t² = 576-476

v_t² = 100

v_t = √100

v_t = 10 m/s

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