Chiphunzitso cha Torricelli - mavuto ndi mayankho

Chiphunzitso cha Torricelli - mavuto ndi mayankho

1. Chubu chokhala ndi kutalika kwa masentimita 100 chodzazidwa ndi madzi. Dzenje Q lili pamtunda wa masentimita 10 kuchokera pansi. Kodi mtunda wopingasa (x) ndi wotani?

Zodziwika:

Mtunda pakati pa dzenje ndi pamwamba pa madzi (h) = 100 cm – 10 cm = 90 cm = 0.9 m

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

SE basi: Mtunda wa x

Yankho:

Liwiro la madzi oyenda pa dzenje

v= liwiro, g = kuthamanga chifukwa cha mphamvu yokoka, h = mtunda pakati pa dzenje ndi pamwamba pa madzi

Liwiro la madzi oyenda pa dzenje:

Nthawi mumlengalenga

Kuyenda kwa madzi kuchokera pa dzenje kupita pansi ndi mayendedwe a projectileKuyenda kwa projectile kungamvekedwe mwa kusanthula 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.

Mu vuto ili, kuyenda koyima Kusanthulidwa ngati kuyenda kopanda kugwa.

Werengerani nthawi mumlengalenga pogwiritsa ntchito equation ya kuyenda kwaulere kwa kugwa.

Zodziwika:

Kutalika kwa dzenje (y) = 10 cm = 0.1 m

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

Akufuna: Nthawi yopuma (t)

Yankho:

y = 1/2 gt²

0.1 = 1/2 (10) t²

0.1 = 5 t²

t² = 0.1/5

t² = 0.02

t = √masekondi atatu

Mtunda wopingasa (x):

Zodziwika:

Liwiro loyamba (v)_o =v_ox) = 3√2 m/s

Nthawi mumlengalenga (t)= √0.02 masekondi

Akufuna: Mtunda wopingasa (x)

Yankho:

v = x / t

x = vt = (3√2)(√0.02) = (3)(1.41)(0.14) = 0.59 = mamita 0.6

2. Thanki yokhala ndi madzi okhala ndi kutalika kwa mita imodzi. Pa mfundo P, pali dzenje. Kodi liwiro la madzi pa dzenje ndi lotani? Kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s².

Zodziwika:

Mtunda pakati pa dzenje ndi pamwamba pa madzi (h) = 100 cm – 80 cm = 20 cm = 0.2 m

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

SE basi: Liwiro la madzi oyenda pa dzenje (v)

Yankho:

Liwiro la madzi oyenda pa dzenje:

3. Yaikulubafa yamagetsi muli madzi ndipo pali pompo monga momwe chithunzi chili pansipa chikusonyezera. Ngati g = 10 ms^-2, ndiye kuti liwiro la madzi lotuluka mu pompo ndi…

Zodziwika:

Kutalika (h) = 85 cm – 40 cm = 45 cm = 0.45 metres

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

SE basi: Liwiro la madzi (v)

Yankho:

TChiphunzitso cha Orricelli chimanena kuti liwiro la madzi kudzera mu dzenje lomwe lili kutali ndi pamwamba pa madzi ndi lofanana ndi liwiro la kugwa kwaulereIng madzi ochokera kutalika kwa h.

Liwiro la madzi limawerengedwa pogwiritsa ntchito njira yoyendetsera madzi ogwa mwaulerea v_t² = 2 gh

v_t² = 2 gh = 2(10)(0.45) = 9

v_t = √9 = 3 m/s

4. A mph wodzazidwa ndi madzi ndipo pakhoma pali dzenje (onani chithunzi pansipaLiwiro la madzi otuluka m'dzenje ndi… (g = 10 ms^-2)

Zodziwika:

Kutalika (h) = 1.5 m – 0.25 m = 1.25 mamita

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

Akufuna: Sliwiro la madzi (v)

Yankho:

v_t² = 2 gh = 2(10)(1.25) = 25

v_t = √25 = 5 m/s

5. Thanki yokhala ndi madzi okwana mita imodzi (g = 10 ms)^-2ndipo pakhoma pali dzenje lotayikira madzi (onani chithunzi pansipaLiwiro la madzi otuluka m'dzenje ndi...

Zodziwika:

Kutalika (h) = 1 m – 0.20 m = 0.8 mamita

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

Akufuna: Sliwiro la madzi (v)

Yankho:

v_t² = 2 gh = 2(10)(0.8) = 16

v_t = √16 = 4 m/s

1. Kodi chiphunzitso cha Torricelli chimafotokoza chiyani?
   • Yankho: Chiphunzitso cha Torricelli chimagwirizanitsa liwiro la madzi otuluka m'chitsime mpaka kutalika kwa mzere wamadzi pamwamba pa khomo, poganiza kuti ndi okhazikika, osawoneka bwino (opanda kukhuthala), komanso kuyenda kosagwedezeka.
2. Kodi chiphunzitso cha Torricelli chimafotokozedwa bwanji m'masamu?
   • Yankho: Chiphunzitsochi chikufotokozedwa ngati v=√2gh​, kumene $v$ ndi liwiro la efflux, $g$ ndi kufulumira chifukwa cha mphamvu yokoka, ndipo $h$ ndi kutalika kwa mzere wamadzimadzi pamwamba pa mtsinje.
3. Kodi chiphunzitso cha Torricelli chinachokera pa malingaliro otani?
   • Yankho: Chiphunzitsochi chimaganiza kuti madziwo ndi osapindika komanso osakhuthala, kuyenda kwake kumakhala kokhazikika, ndipo palibe mphamvu yowonjezera yomwe imawonjezeredwa kapena kutengedwa kuchokera ku madziwo.
4. Ngati chidebe chili ndi mabowo awiri okhala ndi kuya kosiyana, kodi liwiro la madzi omwe amatuluka m'mabowowo lingafanane bwanji?
   • Yankho: Madzi otuluka m'bowo lomwe lili pafupi ndi maziko adzakhala ndi liwiro lalikulu kuposa madzi ochokera m'bowo lalikulu. Izi zili choncho chifukwa chakuti kuthamanga (ndipo motero mphamvu yomwe ingakhalepo) kumakhala kwakukulu m'kuya kwambiri.
5. Chifukwa chiyani liwiro la efflux silidalira mawonekedwe kapena gawo la chidebecho?
   • Yankho: Chiphunzitso cha Torricelli chimangoganizira za mphamvu zomwe zingatheke chifukwa cha kutalika kwa mzere wamadzimadzi pamwamba pa denga. Mawonekedwe a chidebecho sasintha kutalika kumeneku, kotero liwiro la efflux limakhalabe lomwelo.
6. Kodi liwiro lenileni la madzi otuluka mu dzenje limasiyana bwanji ndi zomwe zinanenedweratu ndi chiphunzitso cha Torricelli m'mikhalidwe yeniyeni?
   • Yankho: Muzochitika zenizeni, zinthu monga kukhuthala kwa madzi, kugwedezeka, ndi mawonekedwe a mtsinje zimatha kukhudza liwiro lenileni, nthawi zambiri zimapangitsa kuti likhale lochepa kuposa momwe chiphunzitso cha Torricelli chimaneneratu.
7. Kodi pali ubale wotani pakati pa chiphunzitso cha Torricelli ndi kusunga mphamvu?
   • Yankho: Chiphunzitso cha Torricelli chimachokera ku kusunga mphamvu ya makina. Chimayerekeza mphamvu yomwe ingakhalepo pamwamba pa madzi ndi mphamvu ya kinetic yomwe ili pa mtsinje.
8. Ngati pali cholowera pamwamba pa chidebe chodzaza madzi, kodi chiphunzitso cha Torricelli chimafotokoza bwanji liwiro la madzi otuluka?
   • Yankho: Kutalika $h$ pamwamba pa mtsinjewo padzakhala zero, kotero malinga ndi chiphunzitso cha Torricelli, liwiro la efflux lidzakhala zero.
9. Kodi kukhalapo kwa kuthamanga kwa mpweya kumakhudza bwanji maulosi a chiphunzitso cha Torricelli?
   • Yankho: Chiphunzitso cha Torricelli chikuganiza kuti chidebecho chili chotseguka ku mlengalenga, motero, kupanikizika kwa mlengalenga kumagwira ntchito mofanana pamwamba pa madzi. Kupanikizika kumeneku kumachotsedwa poganizira kusiyana kwa kupanikizika pa kutalika kwa madzi, kotero chiphunzitsocho chimakhalabe chovomerezeka.
10. Kodi chimachitika ndi chiyani ndi liwiro la madzi otuluka pamene madzi omwe ali mu chidebecho akuchepa?

• Yankho: Pamene kuchuluka kwa madzi kumachepa, kutalika kwake $h$ pamwamba pa mtsinjewo amachepa. Malinga ndi chiphunzitso cha Torricelli, liwiro la madzi otuluka lichepa ngati v=√2gh​.

Mafunso ndi mayankho awa akufufuza maziko, tanthauzo, ndi kugwiritsa ntchito chiphunzitso cha Torricelli mu kayendedwe ka madzi.