Calculate the magnitude of the linear momentum for the following cases.(a) a proton with mass 1.67 calculate the magnitude of the linear momentum for 10-27 kg, moving with a speed of 5.45 calculate the magnitude of the linear momentum for 106 m/skg ? m/s(b) a 16.0-g bullet moving with a speed of 435 m/skg ? m/s(c) a 72.5-kg sprinter running with a speed of 11.0 m/skg ? m/s(d) the earth (mass = 5.98 calculate the magnitude of the linear momentum for 1024 kg) moving with an orbital speed equal to 2.98 calculate the magnitude of the linear momentum for 104 m/s. kg ? 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