Final answer:
To find the total distance Earth has traveled in its orbit, multiply the circumference of its circular orbit by the number of years since its formation.
Step-by-step explanation:
The subject of this question is physics, particularly the topic of celestial mechanics. The student is asking for the calculation of the total distance the Earth has traveled in its orbit around the Sun since its formation, assuming this orbit is circular and has a radius of 1.5×1011m. To solve for the total distance traveled, we'll use the formula for the circumference of a circle (C = 2πr) and then multiply this by the number of orbits (years) Earth has completed since its birth, which is taken to be 4×109 years.
Step-by-Step Calculation:
- Calculate the circular orbit circumference: C = 2π×(1.5×1011m).
- Multiply the circumference by the age of Earth: Distance = C×4×109 years.
The result will give us the approximate total distance traveled by Earth in its orbit around the Sun.