The current theory of the structure of the
earth, called plate tectonics, tells us that the
continents are in constant motion.
assume that the north american continent
can be represented by a slab of rock 5100 kmon a side and 30 km deep and that the rock
has an average mass density of 2850 kg/m3
.
the continent is moving at the rate of about
3.8 cm/year.
what is the mass of the continent?
answer in units of kg.

what is the kinetic energy of the continent?
answer in units of j.

a jogger (of mass 80 kg) has the same kinetic
energy as that of the continent.
what would his speed be?
answer in units of m/s.

While you are driving in the lane next to the curb on a multi-lane road the car on your left suddenly moves toward you lane. they are about toy crash into your front fender. you

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

I’ve been stuck on this for a while