Imagine two billiard balls on a pool table. Ball A has a mass of 7 kilograms and ball B has a mass of 2 kilograms. The initial velocity of the ball A is 6 meters per second to the right, and the initial velocity of the balloon B is 12 meters per second to the left.

When the two balls hit each other, what will happen if it is a perfectly inelastic collision?

Respuesta :

The two balls will be attach together and their will be one final velocity because in inelastic collisions the objects comes together. so
mAv0A+mBv0B=v(mA+mB)
v=(mAv0A+mBv0B)/(mA+mB)
v=(7kg * 6m/s+ 2kg * 12m/s)/(9kg)
v= 22/3 m/s. say thanks brainly. 

Answer :

The balls will stick to each other and move with a common velocity of 2 m/s.

Explanation :

It is given that,

Mass of ball A, [tex]m_A=7\ kg[/tex]

Mass of ball B, [tex]m_B=2\ kg[/tex]

Initial velocity of A,  [tex]u_A=6\ m/s[/tex]

Initial velocity of B,  [tex]u_B=-12\ m/s[/tex] ( in left)

Let the final velocity after collision is v.

In an inelastic collision the momentum remains conserved. So,

[tex]m_Au_A+m_Bu_B=(m_A+m_B)v[/tex]

[tex]7\ kg\times 6\ m/s+2\ kg\times (-12\ m/s)=(7\ kg+2\ kg)\ v[/tex]

[tex]42\ kgm/s-24\ kgm/s=9\ kg\times v[/tex]

[tex]v=2\ m/s[/tex]

Since, it is a perfectly inelastic collision. So, after collision objects will stick to each other and move with a common velocity of 2 m/s.

Hence, this is the required solution.