Whether the planet obeys Kepler’s second law or not.
Answer to Problem 1KESP
The planet obeys Kepler’s second law.
Explanation of Solution
Kepler’s second law states that a planet covers an equal amount of area for equal time interval.
From the above figure, it is clear that circular orbit of planet is divided into 12 equal segments. It means that time interval for any two consecutive points is one-twelfth of total time. Also, the area swept by one segment is equal to the area swept by other segment as arc and radius is same.
Each segment swept equal area in equal time interval and hence the planet follows Kepler’s second law.
Conclusion:
Thus, the planet obeys Kepler’s second law.
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