Mienzaniso mitanhatu yemibvunzo yemutemo yaArchimedes
1. Ivhu rakadii rinoiswa mumvura yegungwa kana huremu hwemvura yegungwa yakabviswa nedombo iri maNewton maviri? Kuwanda kwemvura yegungwa = 1025 kg/m3.
Kukurukurirana
Mhinduro:
Mutemo waArchimedes Inotaura izvozvo huremu hwemvura yakadururwa (mvura yakabviswa nesimbi) yakaenzana ne simba guru rekufamba izvo zvinoitwa nemvura pamusoro pesimbi.
Huwandu hwemvura yakabviswa = huwandu hwedombo rakanyudzwa mumvura yegungwa = 199,1 cm 3.
2. Chirongo chakazara nemvura. Chidimbu chesimbi 2 cm3 kunyudzwa mumudziyo zvekuti imwe mvura inodururwa. Mvura inodururwa yakawanda sei?
Kukurukurirana
3. Huremu hwechinhu chiri mumhepo hunosvika 15 kg uye huremu hwechinhu chiri mumvura hunosvika 13,7 kg. Chinhu chacho chakagadzirwa negoridhe chairo here?
Kukurukurirana
Zvinozivikanwa kuti:
m = 15 kg
m' = 13,7 kg
Akabvunzwa: chinhu chacho chakagadzirwa negoridhe rakachena here?
Mhinduro:
Simba rakakosha regiravhiti goridhe rakachena = 19,3 kana kuwanda kwegoridhe rakachena = 19300 kg/m3Kana huwandu hwechinhu hwakafanana nehuremu hwegoridhe rakachena, zvinoreva kuti chinhu chacho chakagadzirwa negoridhe rakachena.
Kuwanda kwechinhu chii? ?
Simba rekusimudzira (F)A) yakaenzana nehuremu hwechinhu chiri mumhepo (w) kubvisa huremu hwechinhu chiri mumvura (w').
Isa kukosha kwechinhu chiri mumhepo uye kukosha kwechinhu chiri mumvura:
Chiyero chehuwandu hwechinhu nehuremu hwemvura (/) = giravhiti chaiyo yechinhu. Saka giravhiti chaiyo yechinhu = 11,3.
Kuwanda kwechinhu = simba guru renyika rakawedzerwa nehuwandu hwemvura = (11,3)(1000 kg/m3) = 11.300 kg/m3.
Huremu hwegoridhe rakachena i19,3 uye huwandu hwegoridhe i19.300 kg/m23 saka chinhu chacho hachina kugadzirwa negoridhe rakachena.
4. Ngarava yekununura iri kuedza kusimudza mudziyo une huremu hwe4500 kg wakawira mugungwa. Mudziyo uyu une hurefu hwemamita maviri, upamhi hwemamita 1,5, uye kukwirira kwemita imwe. Kuwanda kwemvura yegungwa panguva iyoyo i1025 kg/m3 uye kumhanya kunokonzerwa negiravhiti i10 m/s2 . Saka, simba shoma rinodiwa kusimudza chinhu kubva pasi pegungwa kuenda pamusoro…
Kukurukurirana
Zvinozivikanwa:
Huremu hwebhokisi (m) = 4500 kg
Vhoriyamu yebhokisi (V) = 2 mx 1,5 mx 1 m = 3 m3
Kuwanda kwemvura yegungwa ( ρ) = 1025 kg/ m3
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2
Mubvunzo: Ndeipi simba shoma rinodiwa kuti chinhu chisimudzwe kubva pasi pegungwa kuenda pamusoro?
Mhinduro:
Kurema kwechinhu chiri mumhepo = mg = (4500 kg)(10 m/s 2 ) = 45000 N
Kuti chinhu chisimudzwe panyika, simba shoma i45000 N.
Kukura kwesimba rekusimudzira:
F A = ρ F g V = ( 1025) (10) (3) = 30750 N
Kurema kwechinhu chiri mumvura yegungwa = 45000 N – 30750 N = 14250 N
Kuti chinhu chisimudzwe mugungwa, simba shoma ndiro 14250 N.
5. Chinhu chinoyangarara mumvura ine huremu hwe800 kg/m3Kana ¼ yechinhu chisina kunyudzwa mumvura, zvinoreva kuti density yechinhu chacho...
A. 600 kg/m3
B. 900 kg/m3
C. 1000 kg/m23
D. 1200 kg/m23
E. 1300 kg/m3
Kukurukurirana:
Zvinozivikanwa kuti:
Kuwanda kwevanhu mvura = 800 kg/m3
Huwandu hwechinhu chisina kunyudzwa mumvura = ¼
Huwandu hwechinhu chakanyudzwa mumvura = ¾
Huwandu hwese hwechinhu = 1
Akabvunzwa :
Kuwanda kwevanhu chinhu?
Jawab :
Fomura yehukama huripo pakati kuwanda zvinhu, huwandu hwezvinwiwa uye zvikamu zvezvinhu zvakanyudzwa uye zvisina kunyudzwa mumvura, zvinokurukurwa munyaya yacho sei zvinhu zvakasimba zvichiyangarara? :
Mhinduro chaiyo ndiA.
6. Huremu hwechinhu chiri mumhepo i5 N. Kana chinhu chacho chakayerwa mumvura (huwandu hwemvura = 1000 kg/m3) huremu hunova 3,2 N. Kana kukurumidza kunokonzerwa negiravhiti g = 10 m/s2 ipapo huwandu hwechinhu chacho...
A. 800 kg/m3
B. 1000 kg/m3
C. 1500 kg/m23
D. 2500 kg/m23
E. 2780 kg/m3
Kukurukurirana:
Zvinozivikanwa kuti:
Kurema kwechinhu chiri mumhepo = Kurema kwechinhu (w) = 5 Newtons
Kurema kwechinhu chiri mumvura = 3,2 Newtons
Kuwanda kwevanhu mvura = 1000 kg/m3
Kukurumidza kweGravity = 10 m/s2
Huremu hwechinhu: w = mg —> m = w : g = 5 N : 10 m/s2 = 0,5 kg
Akabvunzwa:
Kuwanda kwevanhu chinhu?
Mhinduro:
Huremu hwechinhu chiri mumvura hushoma nekuda kwesimba remvura rinoyerera.
Kushingaira = Huremu hwechinhu chiri mumhepo – Huremu hwechinhu chiri mumvura
Kushingaira = MaNewton mashanu – 3,2 MaNewton = 1,8 MaNewton
Kuwanda kweChinhu :
Kuwanda = Huremu : Vhoriyamu = 0,5 kg : 0,00018 m3 = 2780 kg / m3
Mhinduro chaiyo ndiE.
Mibvunzo yemutemo waArchimedes
1. Ivhu rakaiswa mumvura rakaita sei kana huremu hwemvura yakabviswa nedombo huri maNewton mashanu? Kuwanda kwemvura = 1000 kg/m3 (501 cm3)
2. Chirongo chakazara nepeturu. Huni 1,2 dm3 yakanyudzwa mumudziyo zvekuti imwe peturu yakadururwa. Huremu hwepeturu yakadururwa hwakaita sei? (816 magiramu)
3. Huremu hwesimbi mumhepo hunosvika 13 kg uye huremu hwesimbi iri mumvura hunosvika 12,3 kg. Simbi yakagadzirwa negoridhe chairo here? (Kwete, nekuti huremu hwesimbi = 18,6. Huremu hwegoridhe = 19,3)
