a) The mass of the ship is
b) The ship has a larger momentum than the shell
Explanation:
a)
The momentum of an object is given by:
where
m is the mass of the object
v is its velocity
For the ship in this problem, we have
is the momentum
is the velocity
Solving for m, we find the mass of the ship:
b)
The momentum of the artillery shell is given by
where
m is its mass
v is its velocity
For the shell in this problem,
m = 1100 kg
v = 1200 m/s
Substituting,
So, we see that the ship has a larger momentum.
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