An Ogre has a mass of 1000 kg and tries to walk across an 8 m drawbridge (from the castle side). The chain supporting the bridge is attached to the wall 12 m above the bridge and to the bridge at the point 5 m from the castle. The Ogre stands 1 m from the end of the bridge, and the bridge itself is 20 degrees below the horizontal. If the bridge itself is 2000 kg, what is the tension in the chain

The earth remains in orbit around the sun due to the force of gravity. how does the force of gravity exerted by the sun on the earth compare to the force of gravity exerted by the earth on the sun?

What is the orbital period of a spacecraft in a low orbit near the surface of mars? the radius of mars is 3.4×106m.

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