Comparing Momentum and Kinetic Energy of Two Objects with Different Masses

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SUMMARY

This discussion focuses on the comparison of momentum and kinetic energy between two objects with different masses, specifically when a constant force is applied to each object on a frictionless surface. When Object 1, which has a greater mass, is accelerated through a distance d, its momentum (P1) is greater than that of Object 2 (P2) when the same force is applied to both. The kinetic energy (K1 and K2) of Object 1 is less than that of Object 2 when both have traveled the same distance, leading to the conclusions that P1 > P2 and K1 < K2.

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DanicaK
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1)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 object1, it accelerates trough distance d. The force is removed from object 1 and is applied to object 2. At the moment when object 2 has accelerated trough the same distance d, which statements are true?
a)P1<p2 b)p1=p2 c)p1>p2 d)K1<K2 e)K1=K2 f) K1>K2

2) Two objects are at rest on a frictionless surface. Object 1 has a greater mass then object 2. When a force is applied to object 1, it accelerates for a time interval Δt, which statements are true?
a)P1<p2 b)p1=p2 c)p1>p2 d)K1<K2 e)K1=K2 f) K1>K2


I need explication too.
 
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You should try to answer the questions yourself first. You could probably just use intuition, but to be more rigorous, you can use the equations of classical mechanics. Have a go.
 

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