QuestionA car with mass $m_{\mathrm{c}}=1270 \mathrm{~kg}$ is traveling west through an intersection with a speed of $v_{\mathrm{c}}=12.86 \mathrm{~m} / \mathrm{s}$ when a truck of mass $m_{\mathrm{t}}=1990 \mathrm{~kg}$ traveling south at $v_{\mathrm{t}}=15,58 \mathrm{~m} / \mathrm{s}$ fails to yield. The vehicles collide, they stick together, and they slide on the asphalt which has a coefficient of kinetic friction of $\mu_{k}=0.500$. Associate the positive $x$ direction with east and the positive $y$ direction with north.
Part (a) Using the symbols provided in the palette below as opposed to their numeric equivalents, enter an expression, in Cartesian unit-vector notation, for the velocity of the vehicles immediately after the collision, as they begin to slide as a composite object. $$\vec{v}=$$ $\square$
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Part (b) How far, in meters, will the vehicles slide after the collision?