Question Number 227011 by fantastic2 last updated on 25/Dec/25
$${in}\:{a}\:{cup}\:{filled}\:{with}\:{a}\:{liquid}\:{of}\:{density}\:\rho,{a} \\ $$$${bubble}\:{rests}\:{in}\:{the}\:{liquid}\:{in}\:{h}\:{deepness}. \\ $$$${radius}\:{initial}\:{of}\:{the}\:{bubble}={r}_{{i}} \\ $$$$\:{initial}\:{density}\:{of}\:{the}\:{bubble}=\sigma_{{i}} \\ $$$$\left(\:{mass\&temparature}\:{is}\:{constant}\right) \\ $$$${a}\:{small}\:{jerk}\:{is}\:{given}\:{to}\:{the}\:{cup}\:{and}\:{the} \\ $$$${bubble}\:{starts}\:{to}\:{go}\:{upwards}. \\ $$$${find}: \\ $$$$\left.\mathrm{1}\right){velocity}\:\&\:{acceleration}\:{of}\:{the}\:{bubble}\:{at}\:{time}\:{t}\:{after} \\ $$$${it}\:{starts}\:{moving} \\ $$$$\left.\mathrm{2}\right){force}\:{acting}\:{on}\:{the}\:{bubble}\:{at}\:{time}\:{t} \\ $$$${after}\:{it}\:{starts}\:{moving} \\ $$$$ \\ $$
Commented by fantastic2 last updated on 25/Dec/25
