Question

E. O-27.7 m/s9. An object of mass 2 kg moving with a speedof 26 m/s to the right collides with an objectof mass 13 kg moving with a speed of 2 m/sto the left. If the collision is completely inelastic,calculate their speed after collision. (1 point)A. O-0.831 m/sB. O 1.733 m/sC. 06.089 m/sD. O5.39 m/sE. O 0.388 m/s10. An object of mass 16 kg moving with a speed

Answer 1

Given

Mass of an object, m=2 kg

Velocity of the object, u=26 m/s towards right

Mass of the other object, m'=13 kg

Speed of the object, u'=2 m/s towards left

To find

If the collision is completely inelastic,calculate their speed after collision.

Step-by-step explanation

Since the collision is perfectly inelastic, so after collision both the body would combine together and move as one

Let the velocity after collision be v.

Considering the direction towards right as positive.

Thus,

By conservation of momentum

`\begin{gathered} mu+m^(\prime)u^(\prime)=(m+m^(\prime))v \\ \Rightarrow2*26-13*2=(2+13)v \\ \Rightarrow v=1.733\text{ m/s} \end{gathered}`

Conclusion

The velocity is B. 1.733 m/s