Question 15 of 20 Engineers are using computer models to study train collisions to design safer
train cars. They start by modeling an elastic collision between two train cars
traveling toward each other. Car 1 is traveling south at 18 m/s and has a full
load, giving it a total mass of 14,650 kg. Car 2 is traveling north at 11 m/s and
has a mass of 3,825 kg. After the collision, car 1 has a final velocity of 6 m/s
south. What is the final velocity of car 2?
A. 35 m/s north
B. 81 m/s south
C. 81 m/s north

D. 35 m/s south

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit