Linear Momentum and Collisions - True/False

AI Thread Summary
In the discussion about linear momentum and collisions, a scenario is presented where two objects with different masses are accelerated by a force on a frictionless surface. The key points include the relationships between momentum and kinetic energy after both objects have traveled the same distance. It is established that the momentum of object 1 is greater than that of object 2, while the kinetic energy of object 1 is less than that of object 2. The relevance of potential energy is questioned, but the focus remains on the work-energy principle, which states that the work done on an object equals its kinetic energy at the end of the displacement. The discussion emphasizes the importance of clearly showing calculations to support conclusions.
Melchior25
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Homework Statement



Two objects are at rest on a frictionless surface. Object 1 has a greater mass than object 2. When a constant force is applied to object 1, it accelerates throught a distance d. The force is removed from object 1 and is applied to object 2. At the moment when object 2 has accelerated through the same distance d, which statements are true? (Select all that apply.)
p1 > p2 True
K1 = K2 False
K1 < K2 True
p1 < p2 False
p1 = p2 False
K1 > K2 False


Homework Equations



Potential Energy - Stored energy; the energy an object has because of its position.
Kinetic Energy - The energy that a moving object has due to its motion, the energy of motion.

Could Someone please let me know if I am thinking about this problem wrong? And if I am, any help would be greatly appreciated.

Thanks
 
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Melchior25 said:

Homework Equations



Potential Energy - Stored energy; the energy an object has because of its position.
Kinetic Energy - The energy that a moving object has due to its motion, the energy of motion.

Why do you think that potential energy is relevant to this problem?

Work done = Force X displacement. When work is done on a body by a force for a distance d, and there is no dissipation of energy, then that work done must be equal to the KE of the body at the end of the distance d.

All the answers can be found from this. Show your work this time.
 
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