What is the velocity of a 900 kg car initially moving at 30 m/s, just after it hits a 150 kg deer initially running at 12 m/s in the same direction? Assume the deer remains on the car.

What is the velocity of a 900 kg car initially moving at 30 ms just after it hits a 150 kg deer initially running at 12 ms in the same direction Assume the deer class=

Respuesta :

Given the 900 kg car initially moving at 30 m/s just after it hits a 150 kg deer initially running at 12 m/s in the same direction.

[tex]\begin{gathered} m_1=900kg \\ m_2=150kg \\ v_1=30\text{ m/s} \\ v_2=12\text{ m/s} \end{gathered}[/tex]

Hence, the velocity

[tex]\begin{gathered} v=\frac{900\times30+150\times12}{900+150} \\ v=\frac{27,000+1,800}{1050} \\ v=\frac{28,800}{1050} \\ v=27.42\text{ m/s} \end{gathered}[/tex]

Thus, the given option a is correct.