Question

A 4 kg mass is moving at 8 m/s collides with a 2 kg mass moving at 5 m/s.

Answer 1

Answer:

V = 7 m/s

Explanation:

Given that,

Mass 1, m₁ = 4 kg

Speed of the object 1, v₁ = 8 m/s

Mass 2, m₂ = 2 kg

Speed of object 2, v₂ = 5 m/s

After the collision, both objects stick together. Let V be the common velocity. Using the conservation of linear momentum to find it.

$m_1v_1+m_2v_2=(m_1+m_2)V\\\\V=\dfrac{m_1v_1+m_2v_2}{m_1+m_2}\\\\V=\dfrac{4(8)+2(5)}{4+2}\\\\V=7\ m/s$

So, the velocity of two cars is 7 m/s.