A (1000-mathrm{kg}) car traveling east at (50 mathrm{~km} / mathrm{h}) passes over the top of a hill

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A \(1000-\mathrm{kg}\) car traveling east at \(50 \mathrm{~km} / \mathrm{h}\) passes over the top of a hill and hits a \(3000-\mathrm{kg}\) truck stalled in the middle of the lane. The impact causes the truck to roll eastward at \(15 \mathrm{~km} / \mathrm{h}\).

(a) What is the coefficient of restitution for the collision? During the collision, how much kinetic energy is converted to internal energy \((b)\) in the Earth reference frame and \((c)\) in a reference frame moving at \(5 \mathrm{~km} / \mathrm{h}\) eastward along the road?

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