Amission under study desires to deliver a 800-kg payload through 8 km/s of av. the spacecraft has 3 kw of electric power available for propulsion. the mission planners want to understand the trade-offs for different thrusters and operating conditions, and they want you to make plots of propellant mass and trip time required versus specific impulse for the following cases. assume xenon is the propellant. a. ion thruster case: the ion thruster can run at full power from 1 kv to 2 kv. for all throttle conditions, assume the following parameters are constant: total efficiency of 55 propellant utilization of 85% beam divergence angle of 12 deg, and double-to-single ion current ratio of 10%. b. hall thruster case: the hall thruster can run at full power from 300 v to 400 v. for all throttle conditions, assume the following parameters are constant: total efficiency of 45%, propellant utilization of 85% beam divergence angle of 25 deg, and double-to-single ion current ratio of 15%.

Amass m = 74 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius r = 18.4 m and finally a flat straight section at the same height as the center of the loop (18.4 m off the ground). since the mass would not make it around the loop if released from the height of the top of the loop (do you know why? ) it must be released above the top of the loop-the-loop height. (assume the mass never leaves the smooth track at any point on its path.) 1. what is the minimum speed the block must have at the top of the loop to make it around the loop-the-loop without leaving the track? 2. what height above the ground must the mass begin to make it around the loop-the-loop? 3. if the mass has just enough speed to make it around the loop without leaving the track, what will its speed be at the bottom of the loop? 4. if the mass has just enough speed to make it around the loop without leaving the track, what is its speed at the final flat level (18.4 m off the ground)? 5. now a spring with spring constant k = 15600 n/m is used on the final flat surface to stop the mass. how far does the spring compress?