Can you explain how to set up this problem by providing a response to each prompt using physics concepts or formulas? Please include each math step so I can check my own work. This may involve the Physics topic Conservation of Energy as well as other related topics such as potential energy, kinetic energy, work-energy theorem, Hooke's Law, Potential Elastic Energy, etc. (The reference can be found below the given problem, and it is labeled c), this is not part of the problem and is only meant as a reference scenario to visualize the given problem in)

Drifting away In your future job as an engineer on a space station orbiting the Moon (see Practice Problem c) for Reference Below J, a door burst open, sucking you out into space. You are fortunately wearing a space suit and are still holding on to a spring and a rock, but. you have no tether to get back to the space station. \"that do you do to save yourself? Your colleague measures your speed to be 0.3m / s directly away from the station. You estimate the mass of you, your suit, and your equipment to be 90 kg. Your spring is labeled with a spring constant 10'1 N/m and a mass 500 g. The most you can compress or stretch the spring out of equilibrium is 10 cm. Just before the accident, you measured the mass of the rock to he 5kg. You don't know how to calculate the thrust from jetting your oxygen supply, so don"t risk it! (a) Write out your problem-solving strategy for this problem. What concepts or equations do you need? What quantities do you need to nd to get your nal answer? Do you need to make any assumptions? Start by drawing a diagram or two! {1)} Calculate your nal velocity to see if you can make it back to the station? Hint: instead of solving the problem from the point of view of the space station, where all objects are moving, consider solving the problem from the point of view of the astronaut, where the initial velocity appears to be zero. Hint #2: there are multiple actions you can take, and there are multiple ways to calculate your answer. Hint #3: if the algebra gets too n'iessy, there may he a reasonable asslunption you can make. Discuss it with your classmates. Hint #4: remember you can use WolfraniAlpha to solve equations numerically as long as you show your work. Just for reference: {0) In the future you may be a scientist or engineer on a space station orbiting the Moon. Your job is to measure the mass of Moon rocks, but a bathroom scale won't work. You have a box full of springs with different known spring constants. Devise an experiment to measure mass. Be specic when it comes to what you actually measure and how you measure it