Out to Launch In a science fiction story, scientists and engineers living within

Question

Out to Launch In a science fiction story, scientists and engineers living within the airless planet Tau Ceti IlIl are making test launches from the surface of the planet. Tau Ceti lIl has a mass of 7251022 kg and a radius of 1740 km For one series of test launches, the scientists are launching from the north pole of the planet so that the planet's rotation will have no effect on their tests. They have decided to use a launch speed of 1910 m/s The launches are made from a railaun mounted on a launch pad at Tau Ceti l's geographic north pole. The railgun can be tited to launch at a variety of angles. For the first launch in this series of tests, the scientists have elected to launch vertically, i.e. the selected direction of launch makes a 90 degree angle with the local horizontal at their launch site. Your task is to calculate the height to which the test capsule will rise before beginning its free fall back to the surface of Tau Ceti II. For the purposes of your calculation, assume that the test capsule being launched has a mass of 205.0 kg Part A What is the maximum altitude of the test capsule when it is launched vertically from the surface of Tau Ceti ll with a launch speed of 1910 m/s? Give your answer in km. Give your answer in km. Hints km Submit My Answers Give Up

Explanation / Answer

A) Hmax = Vo^2/(2*g)

g is the accelaration due to gravity = 9.8 m/s^2

Vo = 1910 m/s

then

Hmax = Vo^2/(2*g) = 1910^2/(2*9.81) = 185938 m= 185.9 km = 186 km

need partB) to answer this

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