Answer :
In this problem, we are dealing with the principle of conservation of momentum, which is a fundamental concept in physics. According to this principle, when two objects collide in an isolated system (where no external forces act), the total momentum before the collision is equal to the total momentum after the collision.
Here’s a step-by-step breakdown:
Identify the Initial Momentum: The problem states that the system of two objects has an initial momentum of 195 kg-m/s directed north.
Apply the Conservation of Momentum Principle: Since there are no external forces acting on the system (as given), the total momentum of the system must remain constant throughout the collision.
Mathematically, this can be expressed as:
[tex]\text{Initial Total Momentum} = \text{Final Total Momentum}[/tex]
Given the initial total momentum is 195 kg-m/s directed north, we can write:
[tex]\text{195 kg-m/s (north)} = \text{Final Total Momentum (system)}[/tex]
Conclusion: Therefore, the momentum of the system after the collision will also be 195 kg-m/s directed north.
The fact that the objects rebound with different velocities does not change the total momentum of the system, provided no external forces are acting on them. Each object will have its individual momentum, but collectively, the system’s momentum will still be 195 kg-m/s directed north.
