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# Answer to Question #114824 in Mechanics | Relativity for howard

Question #114824
A 1000 kg car traveling @ 30 m/s, 30 degrees S of E collides w/a 3000 kg Truck heading NE @ 20 m/s and makes the collision completely inelastic. Inelastic? Estimate the final dir then find how fast and in what dir they are traveling after the crash.
1
2020-05-12T09:32:09-0400

Sinse the collision is completely inelastic then applying the law of conservation of momentum we obtained "m_1\\vec v_1+m_2\\vec v_2=(m_1+m_2)\\vec v" where "m_1\\vec v_1" is the momentum of the car , "m_2\\vec v_2" is the momentum of the trac, "(m_1+m_2)\\vec v" is momentum of the composite body. Than

"v= \\frac { \\sqrt {(m_1^2v_1^2+m_2^2v_2^2+2m_1m_2v_1v_2\\cos(\\vec v_1,\\vec v_2)}}{m_1+m_2}\\approx17ms^{-1}" ,"\\cos(\\vec v,\\vec v _1)=\\frac{m_1v_1+m_2v_2\\cos(\\vec v_1,\\vec v_2)}{v(m_1+m_2)}\\approx0.21"

then <"(\\vec v,\\vec v_1)\\approx78^0"

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