General Applied Physics 1Exam 2-Page 8 of 8 0. (20 10/25/2017 points) You want t

Question

General Applied Physics 1Exam 2-Page 8 of 8 0. (20 10/25/2017 points) You want to visit the edge of the observable universe. The of earth, meaning the velocity you must attain to escape from Earth's is 11.2 km/s. You have explosive infinitesimal skittles that eject themselves out of the bottom of your shoes with an exhaust velocity of 1000 m/s. You weigh 100 kg. What's the LEAST amount of skittle mass you need in your skittle rocket to make it to the edge of the universe? (Ok, there are other things pulling on you beside Earth in the universe, Just assume it's you and the Earth and that's it, and that short enough amount of time that the escape velocity doesn't depend on where you end up at the end of your fuel burn. Just need a final velocity of 11.2 km/s) gravitational pull, you eject these skittles in a l.zkh/s shurso00ms oes (cong

Explanation / Answer

Vescape = 11.2 km/s
Vs = 1000 m/s
M = 100 kg
let skittel mass be m

now as the skittles are infinitesmal, they can be considered as continuous ejection of mass like in rocket
so the rocket equation can be applied
from tsiolkovsky rocket equaiton
dV = Vs*ln((M + m)/M)
now, dV = Vescape
11200 = 1000*ln((100 + m)/100)

minimum skittle mass required = 7312944.183341 kg

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