A uniform, solid sphere of radius $3\mathrm{.}75$ cm and mass $3\mathrm{.}75$ kg starts with a purely translational speed of $3\mathrm{.}25\frac{m}{s}$ at the top of an inclined plane. The surface of the incline is $1\mathrm{.}75$ m long, and is tilted at an angle of $22\mathrm{.}0$ with respect to the horizontal. The sphere rolls without slipping down the incline.

Calculate the sphere's final translational speed $v_2$ at the bottom of the ramp.

$v_2=$

$\frac{m}{s}$