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5. Among the largest passenger ships currently in use, the Norway has been in
service the longest. The Norway is more than 300 m long, has a mass of
6.9 × 107
kg, and can reach a top cruising speed of 33 km/h. Calculate the
magnitude of the ship’s momentum.

Respuesta :

skyluke89

The momentum of the ship is [tex]6.35\cdot 10^8 kg m/s[/tex]

Explanation:

The momentum of an object is a vector quantity equal to the product between the mass of the object and its velocity. Mathematically, it is given by

[tex]p=mv[/tex]

where

m is the mass of the object

v is its velocity

In this problem, the ship has:

[tex]m=6.9\cdot 10^7 kg[/tex] (mass)

[tex]v=33 km/h \cdot \frac{1000 m/km}{3600 s/h}=9.2 m/s[/tex] (velocity of the ship)

Substituting into the equation, we find the magnitude of the ship's momentum:

[tex]p=(6.9\cdot 10^7)(9.2)=6.35\cdot 10^8 kg m/s[/tex]

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