ACTIVITY 3: THE DATA SAYS! Now that you know that the data left by Brahe to Kepler proved to be accurate that is why he was able to discover the three laws of planetary motion. So to verify it yourself, why don't you complete the table below with your own result of the calculations applying the law of periods. For easy calculation, please use a scientific calculator. Earth's data is already supplied to you. Show at least one of the solutions here. Just follow the example given for Earth Note: For the computations, use a scientific calculator. Planetary Data Applied to Kepler's Third Law PLANET MEAN DISTANCE PERIOD FROM THE SUN km³ (T in days) in (r in kilometers) 57.9 x 106 108.2 x 10® 149.6 x 106 days² Mercury 88.023 Venus 224.623 Earth Mars 365.24 686.651 2.51 x 1019 227.9 x 106

Q: What is Kepler's first law of planetary motion? The period of a planet's orbit is proportional to…

A:

Q: Write down an expression for the gravitational filed strength of a planet of radius R and density ρ.…

A: Solution: We know that: Gravitational field strength = gravitational force on a unit mass

Q: Show that equations 1, 2 and 3 lead to Kepler’s Third Law of planetary motion. How are the orbital…

A:

Q: Comet Halley has a semi-major axis of 17.7 AU. (The AU, or Astronomical Unit, is the distance from…

A: We are given semi major axis. We are also given eccentricity. The aphelion distance is given as…

Q: Thinking Mathematically: Explore the quantitative dependencies of the acceleration upon the speed…

A: As per our guidelines, we can answer only first 3 parts. Acceleration is defined as:  a = v2r Where…

Q: Congratulations! You just derived a version of Kepler's Third Law for Mars! Using the mass of Mars…

A:

Q: Differentiate the three Kepler’s law. Cite an example to support your answer.

A: Kepler's 3 Laws are :- 1.) Kepler First law – The Law of Orbits Kepler’s first law states that - ”…

Q: Say you have designed a machine that will allow you to become to first human to visit the center of…

A:

Q: For the following questions, start your analyses by considering at least Newton's Law of…

A: a)

Q: In your own words, describe the meaning of Kepler's Third Law of Planetary Motion.  Do not use any…

A: Answer :- The square of the orbital period of a planet is proportional to the cube of the semi-major…

Q: Use Newton’s law of gravity to calculate the force of gravity between you and Earth. Convert your…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show that equations 1, 2 and 3 lead to Kepler's Third Law of planetary motion. How are the orbital…

A: According to the centripetal force, the equation can be written as F=mMv2r…

Q: The table on the figure gives the mean distance, period, and mass for the four largest moons of…

A: According to Kepler’s law, rearranging the equation will gives the mass,

Q: ) When one object is orbiting a much larger object, the period of the orbit (T) is related to the…

A: A) Solution is attached with image Statement of Kepler's law:

Q: In 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl"…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet…

A: Given Time period of UCF1.01 is T1=4.8 days And Time period of UCF1.02 is T2=5.2 days Average…

Q: Write down an expression for the gravitational filed strength of a planet of radius R and density p.…

A:

Q: Write down an expression for the gravitational filed strength of a planet of radius R and density p.…

A:

Q: Measure the periods for each planet.   Measure the orbital radius of each planet. Calculate the…

A: From figure, For yellow planet, Time period  Ty = 87  unit Orbital radius Ry = x = 0.5921 Unit…

Q: A woman has a mass of 55.1 kg on Earth. a. What is the woman’s mass on the moon? (2 Significant…

A: Given The mass of the woman on earth is m=55.1 kg. The mass of the body is specified as the value…

Q: Hi! Sorry for the inconvenience but can you please answer these two questions? Thanks!  1.…

A: GIVEN: The distance between the Vulcan and the sun is given as, rv = 23rm Where, rm is the distance…

Q: Suppose a 5.3×1010 kg meteorite struck the Earth at the equator with a speed 2.6×104 m/s, as shown…

A: Given data:Mass of the meteorite is .Speed of the meteorite is .The angular momentum of the system…

Q: We found the centripetal acceleration of the Earth as it revolves around the Sun. Compute the…

A: Calculation is attached below ??Explanation:If you need handwritten solution let me know. Please…

Q: A new planet is discovered orbiting a distant star. Observations have confirmed that the planet has…

A: Given:-  The circular orbit with a radius of r = 12 AU  The time period is T = 117 day  Find:-  The…

Q: The table below presents the semi-major axis (a) and Actual orbital period for all of the major…

A: Introduction: Kepler’s first law: All the planets revolve around the sun in elliptical orbits having…

Q: Earth's orbit is (on average) 1 Astronomical Unit from the Sun. For reference, 1 Astronomical Unit…

A:

Q: The sun is 93 million miles from earth. a) Convert 93 million miles to meters and use scientific…

A:

Q: Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the…

A: Given: The perihelion distance=Rp=2 AU The semi-major axis=a=1.5 AU

Q: Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun.   Does the stated…

A: Jupiter is the fifth planet from the sun. It is also the largest planet in the solar system in terms…

Q: The period of revolution of the planet Saturn is approximately 29.5 years. Calculate the distance to…

A: Given:- The period of revolution of the planet Saturn is approximately 29.5 years. Find:- Calculate…

Q: Explain the Kepler’s Law of Planetary (or Satellite) Motion?

A: The first law states that planets move in an elliptical orbit, with the Sun being one focus of the…