Answer: The mass of the second car is 12666.7 kg
Explanation:
To calculate the mass of car, we use the equation of law of conservation of momentum, which is:
[tex]m_1u_1+m_2u_2=(m_1+m_2)v[/tex]
where,
[tex]m_1[/tex] = mass of car 1 = 9500 kg
[tex]u_1[/tex] = Initial velocity of car 1 = 14 m/s
[tex]m_2[/tex] = mass of car 2 = ? kg
[tex]u_2[/tex] = Initial velocity of car 2 = 0 m/s
[tex]v[/tex] = Final velocity = 6.0 m/s
Putting values in above equation, we get:
[tex](9500\times 14)+(m_2\times 0)=(9500+m_2)6.0\\\\m_2=\frac{9500\times 14}{6}-9500=12666.7kg[/tex]
Hence, the mass of the second car is 12666.7 kg
