Junes Verne in 1865 suggested sending people to the Moon by firing a space capsule from a 210 m long cannon with a launch speed of 12.12 km/s. What would have been the unrealistically large acceleration experienced by the space travelers during launch?

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## Answers (1)

Let t be time of travel in cannon.

210 m = 1/2 a t^2

420 m = a t^2

12120 m/s = a t

(12120)(12120) m^2/s^2 = a^2 t^2 .....Divide by 2nd line to get:

(12120)(12120) / (420) m/s^2 = 349,749 m/s^2= a

Since gravitational acceleration is g = 9.8 m/s^2, we have

(349,749) / 9.8 = 35,688 g's

So, a 100 pound female would weigh 3,568,800 pounds.