Question

Two masses of 0.25 kg each moves toward each other with speed 3m/s and 1m/s collide and stick together. Find the final vrlocity

Answer 1

After collision of two blocks they stick with each other

So here the collision between them is perfectly inelastic collision

Now we can use momentum conservation here

when net external force on a system is zero then momentum of the system will always remains conserved

$m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}$

$0.25*3 + 0.25*(-1) = (0.25 + 0.25)v$

$0.5 = 0.5*v$

$v = 1 m/s$

so after they with each other they will move together with speed 1 m/s

Answer 2

Answer:

After collision of two blocks they stick with each other

So here the collision between them is perfectly inelastic collision

Now we can use momentum conservation here

when net external force on a system is zero then momentum of the system will always remains conserved

m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}m

1

v

1i

+m

2

v

2i

=m

1

v

1f

+m

2

v

2f

0.25*3 + 0.25*(-1) = (0.25 + 0.25)v0.25∗3+0.25∗(−1)=(0.25+0.25)v

0.5 = 0.5*v0.5=0.5∗v

v = 1 m/sv=1m/s

so after they with each other they will move together with speed 1 m/s