Answer:
Explanation:
To find the momentum of the large ship, we use the formula:
moment = mass x velocity
Given the momentum of the large ship is 1.55 × 10^9 kg⋅m/s and the speed is 48 km/h, we first need to convert the speed from km/h to m/s:
48 km/h = 48,000 m/3600 s = 13.33 m/s
Now we can calculate the mass of the large ship:
1.55 × 10^9 kg⋅m/s = mass x 13.33 m/s
mass = 1.55 × 10^9 kg⋅m/s / 13.33 m/s
mass = 1.16 × 10^8 kg
So, the mass of the large ship is 1.16 × 10^8 kg.
Now, let's calculate the momentum of the artillery shell:
momentum = mass x velocity
momentum = 1125 kg x 390 m/s
momentum = 438750 kg⋅m/s
Finally, we can calculate how much larger the ship's momentum is compared to the artillery shell's momentum:
Difference in momentum = Momentum of ship - Momentum of artillery shell
Difference in momentum = 1.55 × 10^9 kg⋅m/s - 438750 kg⋅m/s
Difference in momentum = 1.55 × 10^9 kg⋅m/s - 438750 kg⋅m/s
Difference in momentum = 1.5495625 x 10^9 kg⋅m/s
Therefore, the ship's momentum is approximately 1.5495625 x 10^9 kg⋅m/s larger than the momentum of the artillery shell.