Final answer:
The mass of the ship is found by dividing the given momentum (1.60 × 10⁹ kg·m/s) by the velocity (converted to 13.33 m/s from 48.0 km/h), resulting in a mass of approximately 2)1.2 × 10⁷ kg.
Step-by-step explanation:
The question asks: What is the mass of a large ship that has a momentum of 1.60 × 10⁹ kg·m/s, when the ship is moving at a speed of 48.0 km/h?
To find the mass of the ship, we use the formula for momentum (p), where momentum is the product of mass (m) and velocity (v):
p = m × v
First, we convert the speed from km/h to m/s:
48.0 km/h = 48.0 × (1000 m / 1 km) × (1 h / 3600 s) = 13.33 m/s
Now we rearrange the formula to solve for mass:
m = p / v
Plug in the given values:
m = (1.60 × 10⁹ kg·m/s) / (13.33 m/s) ≈ 1.2 × 10⁷ kg
Thus, the mass of the ship is approximately 1.2 × 10⁷ kg, which matches option 2).