Question

8. An object of mass 4 kg moving with a speedof 29 m/s to the right collides with an objectof mass 11.5 kg moving with a speed of 18 m/sto the left. After collision, the 11.5 kg object movesto the right with a speed of 4 m/s to the right. Calculatethe velocity of the 4 kg object after collision. (1 point)A. O-53.475 m/sB. O-13.341 m/sC. O-34.25 m/sD. -19.579 m/sE. O-27.7 m/s9. An object of mass 2 kg moving with a speed

Answer 1

Given

Mass of one object, m=4 kg

Velocity of the object, u=29 m/s towards the right

Mass of the other object, m'=11.5 kg

Velocity of the other object, u'=18 m/s towards left

After collision

The object with mass 11.5 kg moves at a speed, v'=4 m/s towards right

To find

The velocity of the object with mass 4 kg after collision

Step-by-step explanation

Let the direction towards right be positive

By conservation of momentum

`\begin{gathered} mu+m^(\prime)u^(\prime)=mv+m^(\prime)v^(\prime) \\ \Rightarrow4*29-11.5*18=4v+11.5*4 \\ \Rightarrow v=-34.25\text{ m/s} \end{gathered}`

Conclusion

The velocity of the object is C.-34.25 m/s