Minimum possible kinetic energy in an interaction

In summary, in this problem, two objects with different masses and velocities interact without physically touching each other. The minimum possible kinetic energy of the system after the collision can be found using the equation for conservation of momentum and the concept of kinetic energy being minimized in a completely inelastic collision. After solving for the final velocity of the system, the kinetic energy can be calculated using the mass and final velocity of each object. Be mindful of momentum being a vector quantity and adding it correctly to get the correct answer.
  • #1
Neutrinogun
9
0

Homework Statement


Object A of mass 10 kg moving at 10 m/s [E] interacts with (but does not touch) Object B of mass 8 kg moving at 12 m/s [N]. What is the minimum possible kinetic energy of the system after the collision?


Homework Equations


M1V1o + M2V2o = M1V1f + M2V2f
KE = (.5)(m)(v2)
Kinetic energy is minimized in a completely inelastic collision.


The Attempt at a Solution



10(10) + 8(12) = (10 + 8)v
v = 10.89 m/s
KE = (.5)(10)(10.89)2 + (.5)(8)(10.89)2
KE = 1067 J
Correct answer: 534 J (which is one-half of the answer I got.)

Help please?
Thanks.
 
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  • #2
Realize that momentum is a vector and must be added as such. (One momentum points east and the other points north. Find their correct vector sum.)
 
  • #3
Oh...Thanks! Previous problems like this had the second object initially at rest, so I used that way without thinking.
 

FAQ: Minimum possible kinetic energy in an interaction

What is minimum possible kinetic energy in an interaction?

The minimum possible kinetic energy in an interaction refers to the minimum amount of energy that is required for a system to undergo a particular change or interaction. It is the lowest possible energy level that a system can have while still being able to undergo a specific process.

How is minimum possible kinetic energy calculated?

The minimum possible kinetic energy is typically calculated using mathematical equations and principles from the laws of thermodynamics and conservation of energy. The specific calculations will depend on the specific system and process being studied.

Why is minimum possible kinetic energy important in scientific research?

The concept of minimum possible kinetic energy is important in scientific research because it helps us understand the fundamental limits and constraints of physical processes. It also allows us to predict and study the behavior of systems under different conditions and helps us develop efficient and effective technologies.

Can the minimum possible kinetic energy of a system change?

Yes, the minimum possible kinetic energy of a system can change depending on various factors such as temperature, pressure, and external forces. These factors can alter the energy levels of the system and thus affect the minimum possible kinetic energy required for a specific process.

How does the minimum possible kinetic energy relate to other forms of energy?

The minimum possible kinetic energy is just one form of energy within a system. It is closely related to other forms of energy such as potential energy, thermal energy, and chemical energy. These different forms of energy can be converted into kinetic energy and vice versa, but the total amount of energy in a closed system remains constant due to the law of conservation of energy.

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