The discussion revolves around comparing the momentum of two objects with different masses (m and 2m) when a force is applied to both. The original poster attempts to determine which object has greater momentum and to understand the relationship between their momenta, particularly noting that 2m has √2 times more momentum than m.
The discussion is active, with participants providing hints and suggestions for further exploration. There is a recognition of the need to clarify assumptions about time and acceleration, and some participants are encouraged to articulate their reasoning more clearly. Multiple interpretations of the problem are being explored, particularly regarding the effects of mass on momentum.
There is mention of different times taken by the two masses to cover the same distance, which was not initially included in the problem statement. This aspect is under discussion and may affect the understanding of momentum in this context.
Not necessarily. That would be the case if the velocities were the same. How about figuring out the acceleration of each mass and writing down some relevant kinematic equations?robax25 said:
That's not in the statement of the problem that you posted, but I agree that the times are different. Can you give a clearer explanation than "it takes more time to overcome certain distance x" why the time for the 2m mass is longer? Also, to get the quantitative factor of ##\sqrt{2}## for the second question, you must write down kinematic equations.robax25 said:
you give me some hints and I get my result.kuruman said:
kuruman said:
kuruman said:
kuruman said:
robax25 said:
Robax25's argument is valid. The distances are the same, the 2m will have the lower acceleration so take longer to cover that distance, and momentum is integral of F with time it will acquire the greater momentum.kuruman said:
This is precisely what I hoped OP would understand and enunciate from the start.haruspex said:
I merely paraphrased post #3 to demonstrate the OP had already got this.kuruman said: