Arximed kuchi Hayotingizda biror marta suzish koʻzoynagingizni suv havzasining chuqur qismiga tushirib yuborib, uni qaytarib olishga uringanmisiz? Bu juda ham asabiylashtiradigan holat

2-masala: (biroz murakkabroq)
2{,}33 \text{kg}2,33kg2, comma, 33, start text, k, g, end text massaga ega boʻlgan kub bor.
Kubning qirrasi minimal qanday boʻlsa, u zichligi 1025 \dfrac{\text{kg}}{\text{m}^3}1025m3kg​1025, start fraction, start text, k, g, end text, divided by, start text, m, end text, cubed, end fraction boʻlgan dengiz suvida suzadi?
Bilamizki, jism suzishi uchun unga taʼsir qiluvchi Arximed kuchi kubning ogʻirlik kuchiga teng boʻlishi kerak. Bundan tenglama tuzib olamiz,
W_{kub}=F_b \qquad \text{(Kubning ogʻirlik kuchi Arximed kuchiga teng)}Wkub​=Fb​(Kubning ogʻirlik kuchi Arximed kuchiga teng)W, start subscript, k, u, b, end subscript, equals, F, start subscript, b, end subscript, start text, left parenthesis, K, u, b, n, i, n, g, space, o, g, ʻ, i, r, l, i, k, space, k, u, c, h, i, space, A, r, x, i, m, e, d, space, k, u, c, h, i, g, a, space, t, e, n, g, right parenthesis, end text
mg=\rho Vg \qquad \text{(Kubning ogʻirlik kuchi va Arximed kuchi formulalarini keltirib qoʻyamiz)}mg=ρVg(Kubning ogʻirlik kuchi va Arximed kuchi formulalarini keltirib qoʻyamiz)m, g, equals, rho, V, g, start text, left parenthesis, K, u, b, n, i, n, g, space, o, g, ʻ, i, r, l, i, k, space, k, u, c, h, i, space, v, a, space, A, r, x, i, m, e, d, space, k, u, c, h, i, space, f, o, r, m, u, l, a, l, a, r, i, n, i, space, k, e, l, t, i, r, i, b, space, q, o, ʻ, y, a, m, i, z, right parenthesis, end text
mg=\rho L^3g \qquad \text{(Kubning hajmini topish formulasi } L^3 \text{ dan foydalanamiz})mg=ρL3g(Kubning hajmini topish formulasi L3 dan foydalanamiz)m, g, equals, rho, L, cubed, g, start text, left parenthesis, K, u, b, n, i, n, g, space, h, a, j, m, i, n, i, space, t, o, p, i, s, h, space, f, o, r, m, u, l, a, s, i, space, end text, L, cubed, start text, space, d, a, n, space, f, o, y, d, a, l, a, n, a, m, i, z, end text, right parenthesis
L^3 = \dfrac{mg}{\rho g} \qquad \text {(} L^3 \text { ni topamiz})L3=ρgmg​(L3 ni topamiz)L, cubed, equals, start fraction, m, g, divided by, rho, g, end fraction, start text, left parenthesis, end text, L, cubed, start text, space, n, i, space, t, o, p, a, m, i, z, end text, right parenthesis
L = \left(\dfrac{m}{\rho }\right)^{1/3} \qquad \text{(g larni qisqartirib, ikkala tarafdan kubik ildiz olamiz)}L=(ρm​)1/3(g larni qisqartirib, ikkala tarafdan kubik ildiz olamiz)L, equals, left parenthesis, start fraction, m, divided by, rho, end fraction, right parenthesis, start superscript, 1, slash, 3, end superscript, start text, left parenthesis, g, space, l, a, r, n, i, space, q, i, s, q, a, r, t, i, r, i, b, comma, space, i, k, k, a, l, a, space, t, a, r, a, f, d, a, n, space, k, u, b, i, k, space, i, l, d, i, z, space, o, l, a, m, i, z, right parenthesis, end text
L = \left(\dfrac{2{,}33\text{ kg}}{1025 \dfrac{\text{kg}}{\text{m}^3}}\right)^{1/3} \qquad \text{( kattaliklarning son qiymatini keltirib qoʻyamiz)}L=⎝⎜⎜⎛​1025m3kg​2,33 kg​⎠⎟⎟⎞​1/3( kattaliklarning son qiymatini keltirib qoʻyamiz)L, equals, left parenthesis, start fraction, 2, comma, 33, start text, space, k, g, end text, divided by, 1025, start fraction, start text, k, g, end text, divided by, start text, m, end text, cubed, end fraction, end fraction, right parenthesis, start superscript, 1, slash, 3, end superscript, start text, left parenthesis, space, k, a, t, t, a, l, i, k, l, a, r, n, i, n, g, space, s, o, n, space, q, i, y, m, a, t, i, n, i, space, k, e, l, t, i, r, i, b, space, q, o, ʻ, y, a, m, i, z, right parenthesis, end text
L = 0{,}131 \text{m} \qquad \text{(Hisoblang va nishonlang)}L=0,131m(Hisoblang va nishonlang)L, equals, 0, comma, 131, start text, m, end text, start text, left parenthesis, H, i, s, o, b, l, a, n, g, space, v, a, space, n, i, s, h, o, n, l, a, n, g, right parenthesis, end text