1) Answer the following question by manipulating the units of the quantities involved – show all units in your calculations. A Newton is the SI measure of force. It is defined as the force required to move 1 kg at a rate of 1 m/s^2 (so 1N=1kg.m/s^2). The core stage of NASA’s Artemis 1 rocket uses 4 RS-25D engines, each of which produces 10x10^3 kN of thrust (=force). Artemis 1 has a mass of 5.75 million pounds, and is 322 ft tall. Artemis 1 reaches earth orbit after 8 minutes and 30 seconds at which time it ejects its core engines: a. What velocity, in m/s, is Artemis 1 traveling when it reaches orbit? (ignore earth’s gravity since it’s effect is negligible) b. Assume that no further force is applied after ejection of the core engines and that Artemis 1’s velocity therefore remains constant. The circumference of the earth at orbit altitude is 25,000 miles. How long will Artemis 1 take to orbit the earth?