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Question
in 7 days, a planets radius vector sweeps out an area of a. how much area would this planets radius vector sweep out in 14 days? (1 point)
the same area, a.
2a
the area will be greater than a.
the area will be smaller than a.
Step1: Apply Kepler's second law
Kepler's second law states that a planet's radius vector sweeps out equal areas in equal times.
Step2: Calculate the area for 14 days
If in 7 days the area swept is \(A\), then in 14 days (which is \(2\times7\) days), the area swept is \(2\times A = 2A\)
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2A