Ina shoots a large marble (marble a, mass: 0.08 kg) at a smaller marble (marble b, mass: 0.05 kg) that is sitting still. marble a was initially moving at a velocity of 0.5 m/s, but after the collision it has a velocity of –0.1 m/s. what is the resulting velocity of marble b after the collision? be sure to show your work for solving this problem along with the final answer.

Explanation:

Given that,

Mass of marble A,

Mass of marble B,

Marble B is still,

Initial speed of marble A,

Final speed of marble A after the collision,

We need to find the resulting velocity of marble B after the collision. It can be calculated using conservation of momentum as :

So, the resulting velocity of marble B after the collision is 0.64 m/s. Hence, this is the required solution.