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At void, an object with velocity v, mass m collides with an object with the same mass m at rest. Let's assume that they were connected to each other(the instant after the collision). then it would be double the mass and half the velocity $E = \frac{1}{2}2m(\frac{v}{2})^2 = \frac{1}{4}mv^2$

There is no PE in the object.

Why would it lose KE and Where does the KE go?

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