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Object A of mass M is moving east at speed v. It collides with object B of mass 2M that was initially at rest. The motion of the objects before and after the collision is along the same line. After the collision, object A is moving west at a speed of v/3. What is the speed of object B immediately after the collision?

Respuesta :

Answer:

[tex]v_B=\frac{v}{3}[/tex]

Explanation:

Given that:

mass of object A, [tex]m_A=M[/tex]

mass of object B, [tex]m_B=2M[/tex]

speed of object A, [tex]v_A=v[/tex]

So, according to the conservation of momentum, the momentum before collision is equal to the momentum after conservation.

[tex]m_A.v+m_B\times 0=m_A\times v_A +m_B\times v_B[/tex]

[tex]M\times v+0 = M\times \frac{v}{3}+2M\times v_B[/tex]

[tex]2M\times v_B= \frac{2M\times v}{3}[/tex]

[tex]v_B=\frac{v}{3}[/tex]