Arevolutionary war cannon, with a mass of 2240 kg, fires a 15.5 kg ball horizontally. the cannonball has a speed of 131 m/s after it has left the barrel. the cannon carriage is on a flat platform and is free to roll horizontally. what is the speed of the cannon immediately after it was fired? answer in units of m/s.

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

The dominant wavelength of energy emitted by the sun is

Match each type of lever with the correct diagram. 1. first-class 2. third-class 3. second-class