Final answer:
The linear momentum of Earth can be calculated using the mass of Earth and its orbital radius.
Step-by-step explanation:
The linear momentum can be calculated using the formula: momentum = mass x velocity.
In this case, we need to find the velocity of Earth in its orbit. The velocity can be calculated using the formula: velocity = 2π x radius / time period.
Since the time period for one orbit of Earth around the Sun is approximately one year, which is about 3.15 x 10^7 seconds, we can substitute the values into the formula to find the velocity. Once we have the velocity, we can multiply it by the mass of Earth to find the linear momentum.
Using the given values: mass of Earth = 5.972 x 10^24 kg and orbital radius = 1.496 x 10^11 m, we can calculate the velocity and then find the linear momentum.
The linear momentum of Earth is approximately 8.956 x 10^33 kg·m/s.