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I need assistance with this document. I have no idea where to start and what I am doing. I considered mass spectrometry, but we haven't

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I need assistance with this document. I have no idea where to start and what I am doing. I considered mass spectrometry, but we haven't learned this in our class, and, as such, it would not apply. I am taking a classical physics course with an emphasis on electromagnetism. I have never worked with resistance or any of the concepts presented here. I would be incredibly grateful for any help. (unfortunately, this is the only material provided).

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The Rail Sling/Shoot/Cannon objective Explore a sliding rail system that uses current to accelerate a payload. Assume that there is no friction between the component. Base schematic Here is a top down view of what the basic setup would look like: length Width Uniform B field Figure 1: Basic top down view Specification The materials: the rails will be made out of a super conducting material(ie. resistance = 0). However. because of the low temperature it has to maintain, you are not afforded that luxury for your moving platform. The resistance of your plat form will be dependent on its dimension given by: width R = K- crossctional area (1) where & is the resistivity of the material which we will set to * = 80 . m. The mass density of the material will be set to p = 4260kg/mi. We will also add the constant that the longer the slid is the thicker it will have to be to maintain structural integrity. The minimum thickness will be given by: Thicknessmin = 0.00211 m (length - 1.5m) + 0.012m (2) The payload: The payload will be enclosed in different aerodynamic shells in different orientations. Though the shells themselves will be different, they all have the same mass and will always fit in a 3.7m x 1.5m x 1.5m box. This means that your sliding platform will have to have a top down dimensions of 3.7m x 1.5m. We will be considering a air resistance that scales linearly with speed: Fair = a x frontal area x u (3) Where a = 0.19N - s/m . The payload, along with the shell will have a mass of 200kg. Driving the sling: Your platform will start at rest. The sling will be driven by a constant voltage of 20 V and a uniform magnetic filed of 50 7. If you encounter the first order ODE; " f(x) =y- 81(2) (4)You may use the fact that the solution for f(x) will be of the form: f(x) = (5) What to do? Find a expression for the the speed of your payload-platform system as a function of time in two different orientation and find the maximum achievable speed. Find the time and length of rail required to reach the maximum speed. Consider if their is a person in the payload, say the survivable sustained acceleration is around 4G, 4 times the acceleration due to earth's gravity. Calculate the maximum system voltage that can be survived survivable( this tells you how to modulate the driving voltage)- What should be on your submission 1. Expression for the speed as a function of time in two different orientation. 2. Time required to reach 99% of max speed 3. Length of track required for reaching max speed 4. Maximum survivable system voltage

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