Why Does Kinetic Energy Change After Collision in EENGA 2019 Question?

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The discussion centers on a collision problem from the EENGA 2019 exam involving kinetic energy transfer during a collision between two particles of different masses. A particle of mass m collides with a stationary particle of mass M, resulting in coalescence and a change in kinetic energy. The confusion arises between two answers, B and C, regarding the total kinetic energy transferred to other forms of energy. The thread was ultimately closed and redirected to a duplicate discussion for further clarification.

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A particle of mass m has kinetic energy E when it collides with a stationary particle of mass M. The two particles coalesce. Which of the following expressions gives the total kinetic energy transferred to other forms of energy in the collision?

I keep getting C as my answer when the correct answer is B.
 
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What is answer C, how did you get it, and what is answer B?

I moved the thread to our homework section.
 

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