$(7)$ Chapter $11$ Problem $42$ modified. A lost shipping container is found resting on the ocean floor and completely submerged. The container is $6\mathrm{.}1$ m long, $2\mathrm{.}4$ m wide, and $2\mathrm{.}6$ m high. The mass of the container is $45,000kg.$ What minimum tension in a cable attached to the container is required to lift it from the ocean floor while is submerged? The density of seawater is $1025k\frac{g}{m^3}.$

$(7)$ Chapter $12$ Problem $49.$ How much heat must be added to $0\mathrm{.}50$ kg of aluminum to change it from a solid at $100C$ to a liquid at $660C($its melting point$)?$ The latent heat of fusion for aluminum is $L_f=4\mathrm{.}0{10}^5\frac{J}{k}g$ and the specific heat capacity is $c=9\mathrm{.}00{10}^2\frac{J}{k}gC.$

$Q_{\text{h}\text{e}\text{a}\text{t}}=mcT$

$Q_{\text{m}\text{e}\text{l}\text{t}}=m{L}_f$

$Q_{\text{t}\text{o}\text{t}\text{a}\text{l}}=Q_{\text{h}\text{e}\text{a}\text{t}}+Q_{\text{m}\text{e}\text{l}\text{t}}$