Consider two cars, exactly similar in all aspects. The two cars are placed on a track at t=0. When the two cars then travels on a horizontal plane in parallel. At t=1, the first car slows down and then maintain a traveling speed. The other car surely will move ahead, however, both cars will maintain a constant distance between them.
No matter how much energy we give to the car, as long as the energy supplied into both cars are equal, the distance between the cars will always be the same.
Now, suppose that one of the car, while traveling at the same speed with the other one, alleviate from the ground at steady rate. The cars horizontal distance is maintained but the vertical does not. Ignore the effect of gravity.
According to classical mechanics, potential energy between the two cars increases as the distance increases, but what if the effect of gravity is ignored? What if the gravity is part of the system itself?
Monday, 8 December 2008
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