Suppose a large ship has a momentum of 1.55 × 109 kg⋅m/s. the mass of the large ship, in kilograms, if the ship is moving at a speed of 48 km/h is 1.16 x 10^8. How much larger is the ship’s momentum than the momentum of a 1125-kg artillery shell fired at a speed of 390 m/s?

Respuesta :

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.