Final answer:
The mass of a large ship with a momentum of 1.60×109 kg·m/s, moving at a speed of 48.0 km/h, is found to be 1.20×108 kg. None of the options provided is correct.
Step-by-step explanation:
To calculate the mass of a large ship moving at a certain speed and having a specified momentum, we use the formula for momentum:
p = m * v
where p is momentum, m is mass and v is velocity.
The momentum of the ship is given as 1.60×109 kg·m/s. The velocity needs to be in meters per second to match the SI units of momentum. We convert 48.0 km/h to m/s by multiplying by (1000 m/km) / (3600 s/h) = 1/3.6:
v = 48.0 km/h * (1000 m/km) / (3600 s/h) = 48.0/3.6 m/s = 13.33 m/s.
Now we can solve for the mass m:
m = p / v = (1.60×109 kg·m/s) / (13.33 m/s) = 1.20×108 kg.
This value is not one of the options provided, which indicates a possible mistake in the question or the choices given. A review of the question, the calculations, and the provided answer choices is recommended.