Yawan ruwa da kuma yawan ruwa a cikin daidaito - matsaloli da mafita

Yawan ruwa da kuma yawan ruwa a cikin daidaito - matsaloli da mafita

1. An sanya wani tubali a cikin ruwa biyu masu nau'ikan daban-daban. A cikin ruwa A, kashi 0.6 na abu yana cikin ruwa. A cikin ruwa B, kashi 0.5 na abu yana cikin ruwa. Kayyade rabon yawan ruwa A zuwa ruwa B.

An sani:

Yawan toshiyar = x

Sashe na abu a cikin ruwa A = 0.6

Yawan ruwa A = y

Sashen abu a cikin ruwa B = 0.5

Yawan ruwa B = z

Ana so: Rabon yawan ruwa A zuwa ruwa B (y:z)

Magani:

Maye gurbin x a cikin lissafi na 2 da x a cikin lissafi na 1:

2. Wani abu da aka sanya a cikin ruwa P, kashi 0.5 na abin yana cikin ruwa. Idan aka sanya abin a cikin ruwa Q, abin yana cikin ruwa, kamar yadda aka nuna a cikin hoton da ke ƙasa. Menene rabon yawan ruwa P zuwa ruwa Q?

An sani:

Yawan abu = x

Sashen abu a cikin ruwa P = 1/2 = 0.5

Yawan ruwa P = y

Sashe na abin da ke cikin ruwa Q = 1

Yawan ruwa Q = z

Ana so: Rabon yawan ruwa P zuwa ruwa Q (y: z)

Magani:

Maye gurbin x a cikin lissafi na 2 da x a cikin lissafi na 1:

3. Itace mai shawagi a cikin mai (yawan mai shine 800 kg/m3 ⁾ . Kashi 4/5 na itacen suna cikin mai . Menene yawan itacen?

An sani:

Yawan mai (ρ) = 800 kg/m2 ^-3

Sashe na itace a cikin mai = 4/5

Ana so: Yawan itace

Magani:

Yawan itacen shine 640 kg/ ^m3.

4. Nauyin tubali shine 50 N. A cikin ruwa, nauyin tubalin shine 30 N. Idan yawan ruwa shine 10 ³ kg/m ^-3 menene yawan tubalin.

An sani:

Nauyin tubalin da ke cikin iska (w) = 50 N

Nauyin tubalin a cikin ruwa (w _ruwa ) = 30 N

Yawan ruwa (ρ _ruwa ) = 10 ³ kg/m3 ³ = 1000 kg/ ^m3

Saurin gudu saboda nauyi (g) = 10 m/s ²

Nauyin tubalan (m) = w/g = 50/10 = 5 kg

Ana so: Yawan tubalan (ρ _tubalan )

Magani:

Ƙarfin buoyant:

F _A = ​​​​w – w _ruwa = 50 – 30 = 20 N

Girman tubalan a cikin ruwa:

F _A = ​​ρ g V

20 = (1000)(10) V

20 = (10,000) V

V = 20/10,000

V = 0.002 m ³

Yawan toshe:

ρ = m/V = 5/0.002 = 2500 kg/m ³

5. An tsoma tubalan katako a cikin ruwa. Kashi 25% na sassansa suna saman saman ruwa kuma kashi 75% suna cikin ruwa. Yawan ruwa shine 1 g/cm ³ kuma saurin gudu saboda nauyi shine 10 m/s ^2. A tantance yawan tubalan.

A. 0.025 kg/ ^m3

B. 0.075 g/cm ³

C. 0.250 kg/ ^m3

D. 0.750 g/cm ³

An sani:

Sashen tubalan da ke saman saman ruwa = 25% = 25/100 = 0.25

Sashen tubalin da ke cikin ruwa = 75% = 75/100 = 0.75

Yawan ruwa (ρ _ruwa ) = 1 g/cm ³ = 1000 kg/ ^m3

Saurin gudu saboda nauyi = 10 m/s ²

Ana so: Yawan tubalan (ρ _tubalan )

Magani:

Girman tubalan a cikin ruwa = rabon yawan tubalan da yawan ruwa

Amsar da ta dace ita ce D.

1. Menene yawan yawa, kuma ta yaya ake bayyana shi ta hanyar lissafi?
   • amsa: Nauyi shine ma'aunin nauyin da ke cikin wani adadi da aka bayar. A lissafi, an bayyana shi azaman yawa=taro / girma​.
2. Ta yaya yawan abu ke tantance ko zai yi iyo ko zai nutse a cikin ruwa?
   • amsa: Idan yawan abu ya yi ƙasa da yawan ruwan da aka sanya shi a ciki, abin zai yi iyo. Akasin haka, idan yawan abu ya fi yawan ruwan, zai nutse.
3. Menene ƙa'idar da ke bayan shawagi ko nutsewar wani abu a cikin ruwa?
   • amsa: Ka'idar ita ce ƙa'idar Archimedes, wadda ta bayyana cewa jiki yana nutsewa cikin wani yanayi na ruwa mai ƙarfi wanda ya yi daidai da nauyin ruwan da yake narkarwa.
4. Idan wani yanki na kankara ya yi iyo a cikin ruwa tare da wani ɓangare nasa sama da matakin ruwan, me wannan ke nuna game da yawan kankara da ruwa?
   • amsa: Wannan yana nuna cewa yawan kankara ya yi ƙasa da yawan ruwa. Shi ya sa kubewar kankara ke shawagi, kuma wani ɓangare ne kawai ya rage a nutse don ya maye gurbin adadin ruwa daidai da nauyin kubewar kankara.
5. Me yasa manyan jiragen ruwa na ƙarfe ke shawagi a kan ruwa yayin da ƙaramin ƙusa na ƙarfe zai iya nutsewa?
   • amsa: Jimillar yawan jirgin ruwa na ƙarfe, gami da ramukansa da ke cike da iska, bai kai yawan ruwan ba. Sabanin haka, yawan ƙusa mai ƙarfi ya fi yawan ruwa, wanda hakan ke sa shi nutsewa.
6. Ta yaya ra'ayin "tsaka tsaki" ya bambanta da iyo ko nutsewa?
   • amsa: Tsawaitawar iska (neutral buoyancy) tana faruwa ne lokacin da ƙarfin iska ya daidaita nauyin abu, wanda hakan ke sa abu ya tsaya cak a cikin ruwan ba tare da ya tashi ko ya nutse ba.
7. Me yasa balan-balan helium ke shawagi a sararin sama?
   • amsa: Yawan iskar helium ya yi ƙasa da yawan iska. Sakamakon haka, nauyin balan-balan na helium (gami da kayan balan-balan da kuma helium da ke ciki) ya yi ƙasa da nauyin iskar da yake juyawa, wanda hakan ke sa shi ya yi iyo.
8. Me zai faru da yawan abu idan aka matse shi zuwa ƙaramin girma yayin da nauyinsa ya kasance ba ya canzawa?
   • amsa: Yawan yawa zai ƙaru tunda ana bayyana yawan yawa a matsayin taro da aka raba ta hanyar girma. Idan girman ya ragu kuma nauyin ya kasance iri ɗaya, rabon (yawa) zai ƙaru.
9. Ta yaya gishiri ke shafar yawan ruwa?
   • amsa: Ƙara gishirin ruwa (watau, ƙara gishiri) zai ƙara yawansa. Wannan shine dalilin da ya sa abubuwa ke shawagi cikin sauƙi a cikin ruwan gishiri (kamar Tekun Matattu) idan aka kwatanta da ruwan sha mai tsafta.
10. Idan wani abu yana shawagi a cikin daidaito a cikin ruwa, ta yaya ƙarfin buoyant da ƙarfin nauyi akan abu suke kwatantawa?

• amsa: Idan wani abu yana shawagi a cikin daidaito, ƙarfin da ke tashi (ƙarfin sama saboda ruwan) daidai yake da girma da kuma akasin alkiblar ƙarfin nauyi (nauyi) da ke aiki akan abu.