A teacher place a 75-pound box of stationery on a ramp having an angle of inclination 60 degree to the horizontal and pulls the box up the ramp using a wire harness attached to the end by exerting a force of 80 pounds at an angle of zero degree to the ramp. What is the force of friction restricting the movement of a box if the teacher pulls it up the ramp at a constant speed? Please explain your answer step by step and draw a graph on a single cartesian plane in your note. *

In science and physics what is the standard unit of measure for speed?

Abowling ball rolling down the lane toward the pins has gravitational potential energy. a. no b. a lot of c. a little

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