Concept explainers
(a)
To Calculate:The size of the semi major axis of the planet’s orbit.
(a)
Answer to Problem 20P
Explanation of Solution
Given data:
Here,
Orbital period:
FormulaUsed:
According to Kepler’s third law of planetary motion, the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.
Here,
Calculation:
Rearrange this equation for
Convert the orbital period of the planet from years to seconds.
Calculate the size of the semi major axis of the planet’s orbit
Substitute
Conclusion:
The size of the semi major axis of the planter’s orbit is
(b)
To Calculate:The mass of the planet as compared to the mass of jupiter.
(b)
Answer to Problem 20P
The mass of the planet is
Explanation of Solution
Given data:
Mass of the planet =
Mass of star=
Formula Used:
Use conservation of momentum principle for the planet of mass
Here,
Calculation:
Since,
Calculate the orbital speed of the planet.
Substitute
Calculate the mass of the planet
Substitute
Compare the mass of the planet with the mass of the Jupiter
Conclusion:
The mass of the planet is
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Chapter 11 Solutions
Physics For Scientists And Engineers
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