Aloaded freight car a with a mass of 24000 kg moves at a constant velocity of 8 m/s in a horizontal railroad track and collided with an empty stationary car b with a mass of 8000 kg. after the collision the cars stick to each other and moves like one object. what is the velocity of two cars after the collision?

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