Vocabulary Check Match each term with the correct statement.

A. quantitative
B. slope
C. elastic collision
D. average speed
E. deceleration
F. newton
G. static friction
H. buoyant force
1. The total distance covered divided by the
total time taken
2. Upward force when an object is immersed
in a ſluid
3. A description that uses numbers
4. The rate at which thc velocity of an object
is decreasing
5. Gives a l-kg mass an acceleration of 1 m/s-
6. The rise divided by the run on a linc graph
force opposing motion of an object at
rest
8. Both momentum and kinetic energy are
conserved

Mechanical energy is when the amount of kinetic and potential energies added together remains the same. conserved created lost

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

Determine the moment of the force f about an axis extending between a and c. express the result as a cartesian vector. a is at the origin, c is at (4,3,0) and f = (4i + 12j -3k) lb coming out of b (4,3,-2).