SOLVE THE SECOND QUESTION FROM (1) TO (4)evaluate the speed as a function of TIMEPLOT V(T) Problem Statement1.Without external gravitational fieldIn the first part, you are asked to analyze the rocket propulsion system without anyexternal forces, such as gravity or air dragging. This situation appears for instance whenrocket is still in the space.(1) Describes in detail, why you are allowed to use linear momentum conservationhere!(2) Evaluate the speed of the rocket measure by inertial observer on the ground as afunction of the remaining mass v(m) if the speed of the gas propuision withrespect to the rocket is vrer!(3) Plot v(m) that you obtained from point (2) above!(4) Determined analytically at what remaining mass does the speed of the rocket ismaximized!(5) Determined analytically at what remaining mass does the rocket momentum ismaximized! Interpret your result physically.(6) Determined analytically at what remaining mass does the rocket kinetic energy ismaximized! Interpret your result physically.(7) Compare your results from point (4) to (6), why the maximized situation happensat different remaining mass! Analyze your result.(8) Derived the thrust force for this case!II. With external gravitational fieldIn this second part you are asked to analyze rocket propulsion with the present ofgravitational field g. This appears for instance when the rocket is launching from the surfaceof a planet.(1) Describes why you are not allowed to use the momentum conservation here.(2) Evaluate the speed of the rocket measure by inertial observer on the ground as a functionof time v(t) if the speed of the gas propulsion with respect to the rocket is vret and theburning rate is constant =constant!(3) Plot v(t) that you obtained from point (2) above, for three different values of gravitationaldmdtfield (assuming similar initial mass), which is:9moon = 1.62 m/s9earth = 9.81 m/s9 jupiter = 24.79 m/sin a single plot, if the burn rate is constant = 1500 kg/s. Analyze your result anddescribes how the speed increases for each situation!dt(4) Derived the thrust force for each case!

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Answered: -With external gravitational field In…

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please make sure you write down (1,Given, 2 Unknown, 3 Equations, 4 Set-up, 5 Solve) when answering the question
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Solve it correctly please. I will rate accordingly with multiple votes.
i just have a question on the algebra on this portion of the problem, what happens to the negative sign that is factored out when you're trying to find the final velocity?