One way to determine the mass of a distant star (or planet) is to observe the motion of its planets (or moons). If exoplanet CSN-2021 is found to have a small moon orbiting at a radius of 7.77 x 10* m with a period of 23.1 days, what is the mass of CSN-2021? (a) 1.90 x 1033 kg (b) 6.97 x 1025 kg (c) 2.54 x 1023 kg (d) 4.49 x 1010 kg 9. If the radius of exoplanet CSN-2021 is 2.97 x 10’ m, find the acceleration due to gravity near its surface.

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**Determining the Mass of a Distant Star or Planet**

One way to determine the mass of a distant star (or planet) is to observe the motion of its planets (or moons). For instance, if exoplanet CSN-2021 is found to have a small moon orbiting at a radius of \(7.77 \times 10^8 \) meters with a period of 23.1 days, the mass of CSN-2021 can be calculated.

Which of the following options represents the mass of CSN-2021?

- (a) \(1.90 \times 10^{33} \) kg
- (b) \(6.97 \times 10^{25} \) kg
- (c) \(2.54 \times 10^{23} \) kg
- (d) \(4.49 \times 10^{10} \) kg

**Additional Problem:**
If the radius of exoplanet CSN-2021 is \(2.97 \times 10^7 \) meters, find the acceleration due to gravity near its surface.
Transcribed Image Text:**Determining the Mass of a Distant Star or Planet** One way to determine the mass of a distant star (or planet) is to observe the motion of its planets (or moons). For instance, if exoplanet CSN-2021 is found to have a small moon orbiting at a radius of \(7.77 \times 10^8 \) meters with a period of 23.1 days, the mass of CSN-2021 can be calculated. Which of the following options represents the mass of CSN-2021? - (a) \(1.90 \times 10^{33} \) kg - (b) \(6.97 \times 10^{25} \) kg - (c) \(2.54 \times 10^{23} \) kg - (d) \(4.49 \times 10^{10} \) kg **Additional Problem:** If the radius of exoplanet CSN-2021 is \(2.97 \times 10^7 \) meters, find the acceleration due to gravity near its surface.
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