An 825 kg space vehicle is circling earth in a circular orbit with a radius of 10,300 km. its orbit is to be changed to a larger circle with a radius of 17,400 km. how much energy is required to accomplish this? mass of earth is 5.97 * 10^24 and g = 6.67 * 10^-11.

An ideal otto cycle has a compression ratio of 8. at the beginning of the compression process, air is at 95 kpa and 27°c, and 750 kj/kg of heat is transferred to air during the constant-volume heat-addition process. assuming constant specific heats at room temperature, determine (a) the pressure and temperature at the end of the heat-addition process, (b) the net work output, (c) the thermal efficiency, and (d) the mean effective pressure for the cycle. (4390 kpa, 1730 k; 423 kj/kg; 56.4%; 534 kpa)