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A body of mass $1\mathrm{.}5$ kg makes an elastic collision with another body at rest and continues to move in the original direction but with $\frac{1}{5}$ of its original speed. $($a$)$ What is the mass of the other body? $($b$)$ What is the speed of the two$-$body center of mass if the initial speed of the $1\mathrm{.}5$ kg body was $6\mathrm{.}2\frac{m}{s}?$

$($a$)$ Number

Units

$($b$)$ Number

Units