You are investigating a rural accident. The evidence at the scene suggests that a car was traveling

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You are investigating a rural accident. The evidence at the scene suggests that a car was traveling west when struck by a van traveling south. The crushed vehicles stuck together, then came to rest at the end of skid marks of length \(14 \mathrm{~m}\) along a \(76^{\circ}\) line as shown in Figure P10.108. (The figure is a top view.) The ground is flat with no curbs, and you estimate a coefficient of kinetic friction \(\mu_{k}=0.70\) for the crushed vehicles along the path of the skid. You look up the inertias of these model vehicles and find that \(m_{\mathrm{c}}=1400 \mathrm{~kg}\) and \(m_{\mathrm{v}}=6500 \mathrm{~kg}\). You know that the speed limit is \(35 \mathrm{mi} / \mathrm{h}\) on both roads, which allows you to decide about driver citations.

Data from Figure P10.108

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