Maximum Acceleration for Moon Launch

[Kildars]

In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220 m long cannon with final velocity of 10.78 km/s. What would have been the unrealistically large acceleration experienced by the space travelers during launch?

The answer needs to be in

Number times g.
g = 9.81

I tried v^2 = 1/2(a)(220)
So v^2 = 110
Square root of 110 = 10.48..
Not correct..

Don't know what to do.

 

[OlderDan]

I tried v^2 = 1/2(a)(220)
So v^2 = 110
Square root of 110 = 10.48..
Not correct..

Don't know what to do.

Don't throw away the (a) going from the first to the second line, and use the given information to calculate v^2. Then solve for (a) and express as a fraction of g. Also, check your first equation. It is not correct.

 

[Kildars]

Don't throw away the (a) going from the first to the second line, and use the given information to calculate v^2. Then solve for (a) and express as a fraction of g. Also, check your first equation. It is not correct.

Right so 10,780^2 is the final velocity since the first one is in k/m?

10,780^2 = 1/2(a)(220)
10,780^2 = 110a
A = 1056440
Divided by 9.81..

107690.1121

Still incorrect.

 

[OlderDan]

Still incorrect.

Perhaps because your equation is still incorrect, and you have not expressed a as a multiple of g.

 

[Kildars]

Perhaps because your equation is still incorrect, and you have not expressed a as a multiple of g.

Can I not just divide the acceleration by g at the end and get the same answer?

 

[Kildars]

bump..due in an hour 20 minutes ;)

 

[Kildars]

Nevermind, got this one.