You are planing a mission to Mars. You want to send a 3-ton spacecraft there (3 tons wet mass, it is the initial mass of the spacecraft). As all the engineers working for you are calling in sick, you will have to design the mission yourself. To assess the amount of fuel required to leave the Earth, you first need to compute the different Avs: 1- What is the excess velocity required 92 {in kmis} when leaving the Earth to reach Mars orbit, assuming a Hohmann transfer trajectory? 2- What A1} should be provided to your spacecraft to leave from a 500 km low-Earth orbit (in km!s)' 3- Your spacecraft has an engine that uses a fuel providing a specific impulse of 350s. How much propellant will be required to acheive the A?) computed above? (give your answer in kg) 5- What is the speed of the spacecraft just after the release (in km/s)?Instead of doing the above A1} and spending a significant part of your mass on propellant, you decide to use the space elevator that a colleague of yours just designed. It allows to bring payloads up to an altitude of 55'000km. 6- What is the Av you need to provide to your spacecraft in order to reach the desired hyperbolic departure excess velocity (in km/s)?7- How much propellant [in kg) will you have to use to provide that Av? [Isp=3505)