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4 years ago

6

The table below shows the average distances of Venus and Earth from the sun. -Name of Planet -Distance from the sun (in AU) Venu

s 0.72 Earth 1.0 What is the difference between the orbital periods of Venus and Earth? a. 1.72 years b. 1.62 years c. 0.62 years d. 0.28 years

2 answers:

Serhud [2]4 years ago

6 0

<span>Venus goes around faster than Earth, so its period must be less than Earths 1.0 years. That eliminates the first two answers. My recollection is that T^2 = k r^3, relating period of orbit to radius, so T should be (0.72/1.00)^3/2 = 0.61 of the Earths period, so 0.62 is ans. </span>

Paul [167]4 years ago

6 0

Answer: 0.39 years (Venus orbits the Sun in 0.62 Earth years)

Explanation:

The orbital period is related to the distance of the planet from the star as:

T² = R³

where T is in years and R is in AU.

<u>Orbital period of Venus:</u>

T² = (0.72)³

⇒ T = 0.62 years

<u>Orbital period of Earth </u>

T² = (1.0)³

⇒T = 1 year

The difference between the orbital periods of Venus and Earth is: (1 -0.62) = 0.38 years. Venus orbits the Sun in 0.62 Earth years.

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3 years ago

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