Respuesta :
Explanation:
It is given that,
Mass of the Cadillac, [tex]m_1=2100\ kg[/tex]
Speed of Cadillac, [tex]v_1=3.2\ m/s[/tex] (towards north)
Mass of Volkswagen, [tex]m_2=1100\ kg[/tex]
The cars stuck together and slid to a halt, leaving skid marks angled 35 degrees north of east.
According to the law of conservation of momentum,
The momentum along x axis, [tex]m_1v_1=(m_1+m_2)\ usin35[/tex]............(1)
The momentum along y axis, [tex]m_2v_2=(m_1+m_2)\ ucos35[/tex]...........(2)
From equation (1) and (2) it is clear that,
[tex]\dfrac{m_1v_1}{m_2v_2}=tan35[/tex]
[tex]v_2=\dfrac{m_1v_1}{m_2\ tan35}[/tex]
[tex]v_2=\dfrac{2100\times 3.2}{1100\times \ tan35}[/tex]
[tex]v_2=8.72\ m/s[/tex]
So, the Volkswagen going just before the impact is 8.72 m/s. Hence, this is the required solution.
The initial speed of the Volkswagen before the collision is 8.73 m/s.
Conservation of momentum
The initial speed of the Volkswagen can be determined by applying the principle of conservation of linear momentum as follows;
Momentum of the system along x - axis, m₁v₁ = (m₁ + m₂)vsinθ (1)
Momentum of the system along y - axis, m₂v₂ = (m₁ + m₂)vcosθ (2)
divide equation (1) by (2)
[tex]\frac{m_1v_1}{m_2v_2} = tan\theta\\\\v_2 = \frac{m_1 v_1}{m_2 tan(\theta)} \\\\v_2 = \frac{2100 \times 3.2}{1100 \times tan(35)} \\\\v_2 = 8.73 \ m/s[/tex]
Thus, the initial speed of the Volkswagen before the collision is 8.73 m/s.
Learn more about conservation of momentum here: https://brainly.com/question/7538238
