Waves transfer energy but not matter
Answer:
, the minus meaning west.
Explanation:
We know that linear momentum must be conserved, so it will be the same before (
) and after (
) the explosion. We will take the east direction as positive.
Before the explosion we have
.
After the explosion we have pieces 1 and 2, so
.
These equations must be vectorial but since we look at the instants before and after the explosions and the bomb fragments in only 2 pieces the problem can be simplified in one dimension with direction east-west.
Since we know momentum must be conserved we have:

Which means (since we want
and
):

So for our values we have:

You’re correct hope this helps :)
The work done by a system kept at constant pressure is given by:

where
p is the pressure

is the final volume

is the initial volume
If we plug the numbers given by the problem into this equation, we find

And since

, we have that the work done is