Momentum Impulse ndi Projectile motion - Mavuto ndi Mayankho

Momentum Impulse ndi Projectile motion - Mavuto ndi Mayankho

1. Mpira wa 0.2-kg udzalowetsedwa mu dzenje la C, monga momwe chithunzi chili pansipa chikusonyezera. Wogundayo agunda mpirawo mu sekondi 0.01 ndipo njira ya BC idayenda mu sekondi imodzi. Dziwani kukula kwa mphamvu kuti mpirawo ulowetsedwe mu dzenje la C. Kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s².

Zodziwika:

Ngodya (θ) = 60^o

Misa ya mpira (m) = 0.2 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Nthawi yopuma (Δt) = masekondi 0.01

Nthawi yopita ku njira yoyendera BC (t) = 1 sekondi

Akufuna: Mphamvu (F)

Yankho:

Chiyerekezo cha kukhudzidwa : I = F Δt

Chiyerekezo cha kusintha kwa patsogolo : Δp = m (v_t -v_o).

Chikhumbochi chikufanana ndi kusintha kwa mphamvu :

I = Δp

F Δt = m (v_t -v_o)

F = m (v_t -v_o) / Δt

Zodziwika:

Δt = 0.01 sekondi

m = 0.2 makilogalamu

v_t = liwiro lomaliza mu equation ya impulse-momentum = liwiro loyamba la mpira (v_o) mu kayendedwe ka projectile

v_o = liwiro loyambirira mu equation ya impulse-momentum = 0 m/s (poyamba mpira uli pa mpumulo)

F = m (v_t -v_o) / Δt

F = 0.2 (v_t – 0) / 0.01

F = 0.2 v_t / 0,01

anapitiriza......

Dziwani liwiro loyamba la mpira (v_o) mu kayendedwe ka zipolopolo

Popeza mpira wagundidwa mpaka mpira utafika pa mfundo B = gawo 1 la mayendedwe a projectile.

Mpirawo umayenda kuchokera pa mfundo B kupita ku C = gawo lachiwiri la kayendedwe ka projectile.

Gawo 2 la kayendedwe ka projectile:

Kuyenda kwa projectile kungamvekedwe pofufuza zigawo zopingasa ndi zoyima za kuyendako padera. Kuyenda kwa x kumachitika pa liwiro losasintha ndipo kuyenda kwa y kumachitika pa liwiro losasintha la mphamvu yokoka.

Zodziwika:

Mtunda wopingasa (x) = mamita 5

Nthawi mumlengalenga (t) = 1 sekondi

x ndi t amadziwika kotero kuti v_ox akhoza kuwerengedwa pogwiritsa ntchito equation ya mayendedwe ofanana a mzere. mu_ox ndi gawo lopingasa la liwiro loyambirira la mpira.

v_ox = x / t = mamita 5 / sekondi imodzi = 5 m/s.

Gawo 1 la kayendedwe ka projectile:

Gawo lopingasa la liwiro, v_ox nthawi zonse zimakhala chimodzimodzi kotero v_ox mu gawo 1 la kayendedwe ka projectile = v_ox mu gawo lachiwiri la kayendedwe ka projectile = 5 m/s.

Amadziwika

v_ox = 5 m/s

θ = 60^o

v_ox ndipo θ amadziwika kotero liwiro loyambirira (v_o) ikhoza kuwerengedwa.

cos θ = adj / hyp

cos θ = v_ox /v_o

v_o =v_ox / cos θ = 5 / cos 60^o = 5 / 0.5 = 10 m/s

Liwiro loyamba (v)_o) ndi 10 m/s.

Liwiro loyamba la mpira (v_o) mu kayendedwe ka zipolopolo = liwiro lomaliza la mpira (v_t) mu equation ya impulse-momentum.

Dziwani kukula kwa mphamvu (F)

F = 0.2 v_t / 0.01

F = 0.2 (10) / 0.01

F = 2 / 0.01

F = 200 Newton

1. Kodi pali ubale wotani pakati pa kutengeka maganizo ndi kusintha kwa mphamvu?
   • Yankho: Mphamvu ndi zotsatira za mphamvu ndi nthawi yomwe imagwira ntchito, ndipo ndi yofanana ndi kusintha kwa mphamvu ya chinthu. Mwa masamu, $Impulse=\Delta p$, kumene $\Delta p$ ndi kusintha kwa mphamvu.
2. Kodi kuwonjezeka kwa nthawi yogundana, monga momwe galimoto imakhalira yofooka, kumakhudza bwanji mphamvu yomwe imapezeka panthawi ya ngozi?
   • Yankho: Kuonjezera nthawi yogunda kumachepetsa mphamvu yapakati yomwe imapezeka panthawi ya kugundana. Izi zili choncho chifukwa chakuti kusintha kwa mphamvu (kusintha kwa mphamvu) kumakhala kosalekeza pa kugundana kwina, ndipo powonjezera nthawi, mphamvuyo imafalikira kwa nthawi yayitali, motero imachepetsa mphamvu yapakati.
3. Kodi n’chiyani chomwe chimakhalabe chokhazikika pa chinthu choponyedwa chomwe chikuyenda motsatira mphamvu yokoka yokha?
   • Yankho: Liwiro lolunjika la chogwiriracho limakhalabe lokhazikika pamene mphamvu yokoka yokha ndiyo ikugwira ntchito pa icho. Komabe, liwiro lolunjika limasintha chifukwa cha kufulumira kwa mphamvu yokoka.
4. N’chifukwa chiyani njira ya chowombera ili pansi pa mphamvu yokoka?
   • Yankho: Njirayi ndi yophiphiritsira chifukwa ngakhale liwiro lopingasa limakhalabe lokhazikika, liwiro loyima limasintha nthawi zonse chifukwa cha mphamvu yokoka, zomwe zimapangitsa kuti pakhale ubale wa quadratic pakati pa kusuntha kopingasa ndi koyima.
5. Kodi chimachitika ndi chiyani ku mphamvu ya dongosolo lodzipatula ngati palibe mphamvu zakunja zomwe zimachitapo kanthu?
   • Yankho: Ngati palibe mphamvu zakunja zomwe zimagwira ntchito pa dongosolo lokhalokha, mphamvu yake yonse imasungidwa. Izi zimadziwika kuti kusunga mphamvu.
6. Kodi mphamvu ya mpira yomwe imabwera chifukwa cha chibonga cha baseball imafanana bwanji ndi mpira womwe wagundidwa chifukwa cha home run poyerekeza ndi womwe wangogundidwa pang'ono?
   • Yankho: Chilakolako chomwe mpira umapatsidwa chimakhala chachikulu kwambiri ukamenyedwa kuti ugwire mpira wa home run poyerekeza ndi pamene ukumenyedwa pang'ono, chifukwa kusintha kwa mphamvu ya mpira (kuchokera pa kuyima mpaka kuuluka kuchokera pa bat) kumakhala kwakukulu kwambiri pa nkhani ya home run.
7. Ngati chowombera chaponyedwa kuchokera pansi pa ngodya n’kubwerera pansi, kodi kuthamanga kwake ndi liwiro lake zimafanana bwanji?
   • Yankho: Ngati palibe kukana kwa mpweya, liwiro la ndege yoponyedwayo lidzakhala lofanana ndi liwiro lake lothamangitsira. Izi zimachitika chifukwa cha kusunga mphamvu.
8. Kodi ngodya yoyambira ndi kutalika kwa chowomberacho zikugwirizana bwanji, poganiza kuti palibe kukana kwa mpweya?
   • Yankho: Pa liwiro loyambirira, mtunda wapamwamba kwambiri wa projectile umafikiridwa pa ngodya yoyambira ya madigiri 45. Kuyimitsa pa ngodya zochepera kapena zazikulu kuposa madigiri 45 kumabweretsa mtunda wofupika.
9. N’chifukwa chiyani kuwonjezera nthawi imene mphamvu imagwira ntchito pa chinthu, monga kugwira dzira ndi dzanja pang’ono, kumachepetsa mwayi wosweka kapena kuwononga chinthucho?

• Yankho: Kuonjezera nthawi yomwe mphamvu imagwira ntchito kumafalitsa mphamvu (kusintha kwa mphamvu) kwa nthawi yayitali, motero kuchepetsa mphamvu yapakati yomwe chinthucho chimagwira. Mwa kugwira dzira ndi dzanja pang'ono, mphamvu ya kugwira imafalikira, kuchepetsa mwayi woti dzira lisweke.