A 3 kg mass is moving with an initial velocity of 10 m/s. The mass collides with a 5 kg mass, which is initially at rest. What is the final velocity of the masses after the collision if it is perfectly inelastic?

Question

2597 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-11T01:05:21

The ultimate velocity will be #3.75ms^-1#.

According to Newton's law of momentum,
#3×10+5×0=(3+5)v# where v is ultimate velocity.
Hence,
#v=3.75ms^-1#

Answer 2 · 2017-06-11T01:14:06

3.75 m/s

Inelastic collisions are those which lose the most kinetic energy in the process.

From the initial fromula:

#m_1v_1=(m_1+m_2)*v_2#

...we can turn it into this more directly:

#v_2=m_1 / (m_1 + m_2)*v_1#

#v_2= 3/ (3+5) * 10 = 30/8 = 3.75m/s #