- #1
Niko Bellic
- 10
- 0
Let's say two equally massive objects move toward each other at equal velocities (let's use 30 kg and 5 m/s for the sake of having some numbers).
Will the objects bounce off of each other or will they both stop in place? If they bounce off each other, at what velocity?
The momentum conservation principle suggests that the overall momentum (mass*velocity) of the two objects should remain the same before and after collision (i.e., momentum gained by one object should be equal to the momentum lost by the other).
This still leaves room for ambiguity in resulting velocities. For instance, here's a solution where one object gains 150 units of momentum and the other loses 150 units, causing both objects to stop.
Here's another valid solution where one object gains 225 units of momentum and the other loses 225 units, causing the objects to bounce off each other and head back from where they came from.
But there's only one right solution, right? What is it? What other contraint besides momentum conservation am I missing?
How would one mathematically calculate the actual resulting velocities?
Thanks a ton!
Will the objects bounce off of each other or will they both stop in place? If they bounce off each other, at what velocity?
The momentum conservation principle suggests that the overall momentum (mass*velocity) of the two objects should remain the same before and after collision (i.e., momentum gained by one object should be equal to the momentum lost by the other).
This still leaves room for ambiguity in resulting velocities. For instance, here's a solution where one object gains 150 units of momentum and the other loses 150 units, causing both objects to stop.
Code:
[B]MOMENTEM[/B] [B]MOMENTUM[/B]
[B]BEFORE COLLISION[/B] [B]AFTER COLLISION[/B]
[B]OBJECT A[/B] (30kg)*(+5m/s)=150 (30kg)(0m/s)=0
[B]OBJECT B[/B] (30kg)*(-5m/s)=-150 (30kg)(0m/s)=0
[B]OVERALL[/B] 0 0
Here's another valid solution where one object gains 225 units of momentum and the other loses 225 units, causing the objects to bounce off each other and head back from where they came from.
Code:
[B]MOMENTEM[/B] [B]MOMENTUM[/B]
[B]BEFORE COLLISION[/B] [B]AFTER COLLISION[/B]
[B]OBJECT A[/B] (30kg)*(+5m/s)=150 (30kg)(-2.5m/s)=-75
[B]OBJECT B[/B] (30kg)*(-5m/s)=-150 (30kg)(2.5m/s)=75
[B]OVERALL[/B] 0 0
But there's only one right solution, right? What is it? What other contraint besides momentum conservation am I missing?
How would one mathematically calculate the actual resulting velocities?
Thanks a ton!