The geocentric equatorial position vectors, in km, of a satellite at three separate sightings are: r1 = 2800 i + 6000 j + 9000 k r2 = ‒ 3500 i + 227 j + 12400 k r3 = ‒ 13000 i ‒ 7000 j + 9200 k using gibbs method, a) determine the orbit eccentricity b) is the orbit retrograde or prograde? c) what is the perigee altitude of the satellite?

An ideal spring has a spring constant (force constant) of 2500 n/m, is stretched 4.0 cm, how much elastic potential energy does it possess? (a) 3j (b) 0.00j (c) 1j (d) 2j (e) 4j

Match each scenario to the form of energy it represents

Two masses are connected by a rope that hangs over a pulley as shown below. the pulley is a uniform cylinder of radius 푅=0.381meters and mass 푀=3.1푘푔. initially 푚"is on the ground and 푚#rests 2.5 meters above the ground. if the system is released, use conservation of energy to determine the speed of 푚#just before it strikes the ground. assume the pulley bearing is frictionless.