Answer:
[tex]6.33\times 10^8\ kg\cdot m/s[/tex]
Explanation:
Mass of the ship (m) = 6.9 × 10⁷ kg
Speed of the ship (v) = 33 km/h
First, let us convert the speed from km/h to m/s using the conversion factor.
We know that, 1 km/h = 5/18 m/s
So, 33 km/h = [tex]33\times \frac{5}{18}=9.17\ m/s[/tex]
Now, we know, the momentum of an object only depends on its mass and speed. Momentum is independent of the length of the object.
So, here, length of the ship doesn't play any role in the determination of the momentum.
Magnitude of momentum of the ship = Mass × Speed
= [tex](6.9\times 10^7\ kg)(9.17\ m/s)[/tex]
= [tex]6.33\times 10^8\ kg\cdot m/s[/tex]
Therefore, the magnitude of ship's momentum is [tex]6.33\times 10^8\ kg\cdot m/s[/tex].