A 8.0 kg box is released from rest on a frictionless ramp. The box slides from the ramp onto a rough
horizontal surface with a friction mk -0.50. The starts at
a height of 4 meters (yo = 4 m).
What is the formula for force friction?
What is the formula for work (W)?
What type of energy does the box have at the begging on this problem?
Where does the energy go after the box come to rest?
What distance d will the box slide?

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