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You were traveling north at speed vc in your car of mass m_c = 2000 kg through an intersection when you were struck by a light truck of mass m_t = 4000 kg traveling West. After the collision the two vehicles are stuck together and travel a distance of 20 m in the direction 30° N of W.
-What is the truck speed in terms of v_c?

Question

Quizplus · Accepted Answer

Using conservation of momentum in the x-direction, m_cvc = (m_c + m_t) * vt*cos(30°) Solving for vt, vt = (m_cvc) / ((m_c + m_t) * cos(30°)) Substituting the given values, vt = (2000 kg * v_c) / ((2000 kg + 4000 kg) * cos(30°)) vt = 0.87v_c Therefore, the correct choice is C.

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