Question

An armoured vehicle of mass 5000kg is at rest on a frozen lake where friction is practically zero. It fires a shell of mass 10kg with a nuzzle velocity of 800m/s [N]. Let the time take to travel the length of the barrel be "B" seconds. Calculate the acceleration of the shell

Answer 1

Well, if we assume that the shell accelerates uniformly as it travels through the barrel, we can use
\[v_f^2 = v_i^2 + 2a\Delta x\]
since v_i = 0, we can solve for a:
\[a = \frac{v_f^2}{2\Delta x} \]
where delta x is the length of the barrel.

Answer 2

so my answer could have the variable x in it and it would still be right

Answer 3

Oh, I'm sorry I misread the question. I should have used the other equation:

Answer 4

Actually it's not even an equation, it's a definition:
\[a = \frac{\Delta v}{t} = \frac{v_f}{B} \]

Answer 5

i got an answer of \[800m/s/B\]

Answer 6

does it not give you the time B?

Answer 7

btw how do you do fractions on this thing
and no it doesnt

Answer 8

Odd. And the syntax is
\frac{ numerator }{ denominator }

Answer 9

inside the \[ braces of course.

Answer 10

alright thanks. so i guess
\[\frac{800m/s}{B}\]

Answer 11

Yep

Answer 12

thanks

Answer 13

No problem