Question

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 6.9x107 kg, and can reach a top cruising speed of 33 km/h. Calculate the magnitude of the ship’s momentum.

Answer 1

Answer:

$6.33\times 10^8\ kg\cdot m/s$

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 = $33\times \frac{5}{18}=9.17\ m/s$

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

                                                             = $(6.9\times 10^7\ kg)(9.17\ m/s)$

                                                             = $6.33\times 10^8\ kg\cdot m/s$

Therefore, the magnitude of ship's momentum is $6.33\times 10^8\ kg\cdot m/s$.