Answer to Question #154181 in Classical Mechanics for Carly

Question #154181

A 2100 kg pickup truck collided with a stopped car, which had a mass of 1200 kg. The two vehicles sink into each other and travel together at a speed of 4.50 m / s. The initial speed of the van is ____ m / s.


1
Expert's answer
2021-01-12T12:15:06-0500

From the law of conservation of momentum, we have:


m1v1i=(m1+m2)vf,m_1v_{1i}=(m_1+m_2)v_f,v1i=(m1+m2)vfm1,v_{1i}=\dfrac{(m_1+m_2)v_f}{m_1},v1i=(2100 kg+1200 kg)4.50 ms2100 kg=7.1 ms.v_{1i}=\dfrac{(2100\ kg+1200\ kg)\cdot 4.50\ \dfrac{m}{s}}{2100\ kg}=7.1\ \dfrac{m}{s}.

Answer:

v1i=7.1 ms.v_{1i}=7.1\ \dfrac{m}{s}.


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