Ukunyakaza kwe-parabolic Umsebenzi kanye namandla e-kinetic Ukunyakaza okuqondile Ukunyakaza okuqondile nokuqondile Izinkinga nezixazululo

5 Ukunyakaza kwe-parabolic Umsebenzi kanye namandla e-kinetic Ukunyakaza okuqondile Ukunyakaza okuqondile nokuqondile Izinkinga nezixazululo

1. Ibhola liphonswa lisuka phezulu kwesakhiwo ngesivinini sokuqala esingu -8 m/s nge-engeli engu-20 ^o ngaphansi kwe-horizontal. Ibhola lishaya phansi ngemva kwemizuzwana emi-3.

a) Ibanga elingakanani ukusuka phansi kwesakhiwo ibhola elithinta umhlabathi

b) Liphakeme kangakanani ibhola eliphonswe endaweni

c) Ubude bebhola bufinyelela kumamitha ayi-10 ukusuka endaweni yokuphonsa ibhola

v_ox =v_o ibe 20^o = 8 (0.939) = 7.512 m/s

v _oy = v _o isono 20 ^o = 8 (0.342) = 2.736 m/s

a) x

Ukunyakaza okuvundlile kuhlaziywa njengokunyakaza okuqondile okufanayo, ngakho-ke kusetshenziswa ifomula yokunyakaza okuqondile okufanayo.

x = v _ox t

x = (7.512 m/s)(3 s)

x = 22.536 m

b) y

Ukunyakaza kwesiqondiso esiqondile kuhlaziywa njengokunyakaza kokuwa kwamahhala kusetshenziswa ifomula yokunyakaza kokuwa kwamahhala.

Sebenzisa le fomula u-y = vot ₊ ½ gt ²

Ekunyakazeni kokuwa okukhululekile, i-v _o = 0 ngakho ifomula iba: y = ½ gt ²

y = ½ (9.8)(3 ² )

y = (4.9)(9)

y = 44 m

c) y = 10 m

Sebenzisa ifomula u-y = ½ gt ²

10 = ½ (9,8) t ²

10 = 4.9 t ²

t ² = 10 / 4.9

t ² = 2

t = 1.4 imizuzwana

2. Ithimba lesitimela sezinja lidonsa isisindo somthwalo ongamakhilogremu ayi-100 kuze kufike kumakhilomitha amabili ngaphezu kwendawo evundlile ngesivinini esingaguquki. Uma i-coefficient of friction phakathi kwesitimela neqhwa ingu-0.15, thola:

a) umsebenzi owenziwe yinja

Bala i- ukungqubuzana kwe-kinetic:

F _k = µ _k N = µ _k w = µ _k mg = (0.15) (100 kg) (9.8 m/s ² ) =147 N

Ijubane lesisindo aliguquguquki ngakho-ke, ngokomthetho kaNewton, amandla aphumelayo = 0. Ngakho-ke F _k = F = 147 N

Umsebenzi owenziwe yinja :

W = F d = (147 N)(2000 m) = 294,000 J

b) Amandla alahleka ngenxa yokungqubuzana

Amandla alahleka ngenxa yokungqubuzana:

Umsebenzi = amandla, ngakho-ke:

W = F _k d = (147 N)(2000 m) = 294,000 J

3. Amandla avundlile angu-150 N asetshenziselwa ukusunduza ibhokisi ngamamitha angu-6 ngaphezu kwendawo evundlile. Uma ibhokisi lihamba ngesivinini esingaguquki:

a) Umsebenzi owenziwe ngamandla ka-150 N

W = F d = (150 N) (6 m) = 900 J

b) Amandla alahlekile ngenxa yokungqubuzana

Ibhokisi lihamba ngesivinini esingaguquki ukuze amandla aphumayo asebenze ebhokisini = 0.

Ngakho-ke, amandla avundlile = 150 N = ukungqubuzana kwe-kinetic.

Amandla alahlekile ngenxa yokungqubuzana:

W = F _ks = (150 N)(6 m) = 900 J

c) I-coefficient yokungqubuzana kwe-kinetic

Ifomula yamandla okungqubuzana:

F _k = µ _k N = µ _k w = µ _k mg

150 = µ _km m (10)

15 = µ _km m

µk = 15 _/ m

m = isisindo sebhokisi

µ _k = i-coefficient yokungqubuzana kwe-kinetic

Ukungqubuzana kwe-kinetic kusebenza lapho izinto zihamba, ukungqubuzana okungaguquki kusebenza lapho izinto zisamile.

4. Inhlayiya inesivinini (3i-4h) m/s. Thola ingxenye ye-momentum ku-x kanye ne-y-axis kanye nobukhulu be-momentum.

Isivinini ku-x-axis: 3 m/s

Isivinini ku-y-axis: 4 m/s

Umfutho ku-x-axis: mv = 3 m

umfutho ku-y-axis: mv = 4 m

Ubukhulu bomfutho:

p ² = (3 m) ² + (4 m) ²

p ² = 9 m ² + 16 m ²

ikhasi ² = 25 m ²

p = 5 m

u-p uwuphawu lomfutho oqondile.

5. Imoto isheshiswa ngendlela efanayo kusukela endaweni emile kuya ku-22 m/s imizuzwana engu-9. Uma ububanzi bethayi bungu-58 cm, chaza:

a) inani lamasondo ngesikhathi sokunyakaza (cabanga ukuthi akukho ukushelela)

Bala ukusheshisa imoto:

v _t = vo _o + at

22 = 0 + a 9

22 = 9a

a = 22/9 = 2.44

Bala ibanga:

d = vot ₊ ½ ku- ² = 0 + ½ ku- ²

d = ½ ku- ² = ½ (2.44)(9 ² ) = (1.22)(81) = 98.82 m

Ibanga lemoto = 98.82 amamitha = 9882 cm

Ububanzi bethayi = 58 cm

Inani lokujikeleza = 9882 cm / 58 cm = 170.38 rev

b) Isivinini sokugcina sokujikeleza kwethayi ngesivinini/ngomzuzu

Isivinini sokugcina = amamitha angu-22/umzuzwana = 2200 cm/ umzuzwana

1 rev = 1 ububanzi bethayi = 58 cm

Inani lezinguquko:

2200 cm / 58 cm = ama-revolution angu-40

Ngakho-ke, isivinini sokugcina ekuguqukeni/umzuzu

40 rev/second = 40 rev / 60 seconds = 0.67 rev/minute noma 0.67 rev/minute