Us Witelsoneans decided we would leave the planet using rocket ships. These rockets were powered by the fossil fuels that we had in our government storages in case of an emergency if our natural energy sources would collapse. On the big ships we took all the non-infected people and the resources that we would need to survive. Livestock was To figure out what our escape velocity would need to be, we used the formula, (Escape Velocity = 2 x the Gravitational constant x the mass of Mertens / by the radius, to the power of 0.5) as seen below. This basically means that the escape velocity is dependent on the mass and radius of a given body, in this case the planet of Mertens.
The escape velocity, minimum speed to "break free" from the gravitational attraction of Mertens, that was calculated looked as such........
Keep in mind:
-Gravitational constant = 6.67x10^-11
-Mass of Mertens (kg) = 6.9X10^24
-Radius of Mertens (km) = 7x10^6
Keep in mind:
-Gravitational constant = 6.67x10^-11
-Mass of Mertens (kg) = 6.9X10^24
-Radius of Mertens (km) = 7x10^6
The force needed was measured using F = Mass x Acceleration, with mass being mass of the rocket ship and acceleration being the acceleration of the rocket ship. The force needed was 53,405,965N, as seen below. The largest part of the rocket ships' mass were its propellants, but this mass constantly changed after the rocket was launched since it lost mass as fuel was burned. For the left side of our equation, f=ma, to remain in balance with the right side, acceleration of the rocket increased as mass decrease, meaning it started off moving slowly and went faster and faster as it climbed into space.
The forces that effect the rocket can be even in the diagram below....
This work shows the acceleration due to gravity on Mertens. It is 9.4m/s^2
This work shows the acceleration due to gravity on Witsel. It is 9.1m/s^2, thus less than on Mertens. The effect of this is discussed on the next tab.
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This work shows the force due to gravity on the average Witselonean, whose mass is 50kg, on Mertens. It is 470N.
This work shows the force due to gravity on the average Witselonean, whose mass is 50kg, on Witsel. It is 455N, thus less than on Mertens. The effect of this is discussed on the next tab.
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