**Exercise 2****a. Orbital Radius of Planet A:**Consider two planets orbiting a distant star. Planet A is further from the star, orbiting at a speed of 14,625 m/s with an orbital period of 12.45 years. What is the radius of A’s orbit?*Hint:* Convert the period into seconds.*Input Box:*- Default value: 4.57*10^11- Unit: meters (m)- Status: Incorrect- Note: "please enter a valid number"- Previous submissions: (empty)---**b. Mass of the Star:**What is the mass of the star?*Input Box:*- Default value: 1.465*10^30- Unit: kilograms (kg)- Status: Incorrect- Note: "please enter a valid number"- Previous submissions: (empty)---**c. Orbital Radius of Planet B:**Planet B is closer and has a larger velocity of 38,500 m/s. What is the radius of B's orbit?*Input Box:*- Default value: 6.598*10^10- Unit: meters (m)- Status: Incorrect- Note: "please enter a valid number"- Previous submissions: (empty)

a) We use the formula T=2πRv⇒R=Tv2π=12.45·365·24·60·60 sec·14625 m/sec2π=9.13885875×1011mb) Since gravitational force provides the centripetal acceleration we have GMstarMplanetR2=Mplanetv2R⇒Mstar=Rv2G=9.13885875×1011·1462526.67·10-11=2.93060901×1030 kg for planet B we have GMstarMBRB2=MBv2RB⇒RB=GMstarv2=6.67·10-11·2.93060901×1030385002=1.31874934×1011 meters

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a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57*10^11 please enter a valid number Previous submissions: b. What is the mass of the star? 1.465*10^30 please enter a valid number Previous submissions: c. Planet B is closer in. B has larger velocity of 38500 m/s. What is the radius of B's orbit? m kg V incorrect incorrect

a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.5710^11 please enter a valid number Previous submissions: b. What is the mass of the star? 1.46510^30 please enter a valid number Previous submissions: c. Planet B is closer in. B has larger velocity of 38500 m/s. What is the radius of B's orbit? m kg V incorrect incorrect

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Exercise 2**

**a. Orbital Radius of Planet A:**
Consider two planets orbiting a distant star. Planet A is further from the star, orbiting at a speed of 14,625 m/s with an orbital period of 12.45 years. What is the radius of A’s orbit?

*Hint:* Convert the period into seconds.

*Input Box:*
- Default value: 4.57*10^11
- Unit: meters (m)
- Status: Incorrect
- Note: "please enter a valid number"
- Previous submissions: (empty)

---

**b. Mass of the Star:**
What is the mass of the star?

*Input Box:*
- Default value: 1.465*10^30
- Unit: kilograms (kg)
- Status: Incorrect
- Note: "please enter a valid number"
- Previous submissions: (empty)

---

**c. Orbital Radius of Planet B:**
Planet B is closer and has a larger velocity of 38,500 m/s. What is the radius of B's orbit?

*Input Box:*
- Default value: 6.598*10^10
- Unit: meters (m)
- Status: Incorrect
- Note: "please enter a valid number"
- Previous submissions: (empty)

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