Question Number 168942 by Tawa11 last updated on 21/Apr/22
Commented by mr W last updated on 21/Apr/22
$$\left({m}_{{g}} +{m}_{{b}} +{m}_{{s}} \right){v}_{\mathrm{1}} =\left({m}_{{g}} +{m}_{{b}} \right){v}_{\mathrm{2}{b}} +{m}_{{s}} {v}_{\mathrm{2}{s}} \\ $$$${v}_{\mathrm{2}{b}} =\frac{\left({m}_{{g}} +{m}_{{b}} +{m}_{{s}} \right){v}_{\mathrm{1}} −{m}_{{s}} {v}_{\mathrm{2}{s}} }{{m}_{{g}} +{m}_{{b}} }\: \\ $$$$\:\:\:\:\:=\frac{\left(\mathrm{50}+\mathrm{0}.\mathrm{5}\right)×\mathrm{5}−\mathrm{0}.\mathrm{5}×\mathrm{15}}{\mathrm{50}}=\mathrm{4}.\mathrm{9}\:{m}/{s} \\ $$
Commented by Tawa11 last updated on 21/Apr/22
$$\mathrm{Wow},\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$