Engineers are usi g computer models to study train collisions to design safer train cars. They start by modeling an elastic collision between 2 train cars traveling towards each other. Car 1 is traveling east at 6 m/s and has a mass of 3, 154kg. Car 2 is traveling west at 23 m/s and has a mass of 8,296kg. After the collision car 1 has a final velocity of 7 m/s west. What is the final velocity of car 2?

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j