How does momentum conservation apply to a system with two interacting objects?

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Momentum conservation in a system with two interacting objects shows that the momentum lost by one object is equal to the momentum gained by the other. To solve the problem, focus on the change in momentum for object B, which is influenced by the force exerted by object A. The force acting on B can be determined using the force-momentum relationship and the rate of change of momentum of A. After calculating the changes in momentum for both objects, it will be evident that the total momentum of the system is conserved. This illustrates the principle of momentum conservation in interacting systems.
C0balt
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This homework problem was originally posted in another forum so there is no template
Could you give me some hints at how to answer Q12 part a please?
 

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Force is exerted "on" B. That will cause "change in momentum of B at some rate". Use force-momentum relationship and momentum-time relationship.
 
cnh1995 said:
Force is exerted "on" B. That will cause "change in momentum of B at some rate". Use force-momentum relationship and momentum-time relationship.
well the resultant force is the change in momentum/time interval. So for part a, would I find the change in momentum for truck a?
 
Rate of change of momentum of A will give you the force "acting on A" ,not the force exerted by A. You are asked to calculate the force "acting on B" which is exerted by A.
 
cnh1995 said:
Rate of change of momentum of A will give you the force "acting on A" ,not the force exerted by A. You are asked to calculate the force "acting on B" which is exerted by A.
Ah so I need to find the change in momentum of the blue line, B?
 
C0balt said:
Ah so I need to find the change in momentum of the blue line, B?
For part a? Yes.
 
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cnh1995 said:
For part a? Yes.
Thank you☺️
 
After solving a and b, you'll see that the momentum lost by A is equal to the momentum gained by B. That's what is expected in part c. The total montemum of the system has been conserved.
 

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