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Similarly, I guess, when we are skiing down a mountain we gradually convert the GPE energy we had uphill into Kinetic Energy (but we are doing no work right?) and some of the Kinetic Energy is doing work to deplete the snow sideways. So some of the Kinetic Energy is being lost, used to exert a force (push?) on the snow over a distance.

(Correct any of this if its wrong please!)

So my doubt is, when a car is moving it has a lot of kinetic energy. When it hits the wall, it stops moving, thus, loses all of the kinetic energy. But energy can't be destroyed, it was converted into another form right? So when the car hits a wall it exerts a pushing force over a distance (Since it transferred energy, did work on the wall) and due to Newton's Third Law the same force it exerted on the wall, the wall exerts it back on him in the opposite and therefore damages the car.

Thanks