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$1.$ Calculate $\backslash ($ F$\_\{$i$\}\backslash )$ needed to lift a $5250\mathrm{.}0$ kg car if the area of the platform holding the car $\backslash (\backslash$left$(\backslash$mathrm$\{$A$\}\_\{0\}\backslash$right$)\backslash )$ is $25\mathrm{.}0$ times bigger than $\backslash (\backslash$mathrm$\{$A$\}\_\{\backslash$mathrm$\{$i$\}\}\backslash ).$ If $\backslash (\backslash$mathrm$\{$A$\}\_\{\backslash$mathrm$\{$i$\}\}\backslash )$ depresses $1\mathrm{.}5$ meters, how much work was done on the system? How high was the car lifted?

$($a$)$