A uniform, solid sphere of radius 4.50 cm and mass 4.50 kg starts with a purely translational speed of 2.00 m/s at the top of an inclined plane. The surface of the incline is 1.00 m long, and is tilted at an angle of 29.0 ∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v 2 at the bottom of the ramp.

Aphysical change is a change in the size, shape,, or stafe of matter true or false

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

What kind of air would be characteristic of a continental polar air mass? o a cold, dryob. warm, humido c. warm, dryo d. cold, wet