A 1.00-kg cart has attached to its front end a device that explodes when it hits anything, releasing a quantity of energy E. This cart is moving to the right with speed υ when it collides head-on with a 2.00-kg cart traveling to the left at the same speed υ. The explosive goes off when the carts hit, causing them to rebound from each other. If one-quarter of the explosive energy is dissipated into the incoherent energy of noise and deformation of the carts, what is the final velocity of each cart? Solve in the zero-momentum reference frame and then check your result by solving in the Earth reference frame.n
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