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9. Kepler's third law states that P2 = (4T²/GM)a?. Show that Kepler's third law becomes P2...
QUESTION 4 1 points Using Newton's revision of Kepler's third law, calculate the mass (in solar...
QUESTION 4 1 points Using Newton's revision of Kepler's third law, calculate the mass (in solar masses) of a star where an Earth like planet orbits it with a semi-major axis of 9 AU and a period of 4.87 Earth years. Recall that for an Earth-like planet, its mass is negligible compared to that of the star. Report your answer to two decimal places
Use Kepler's third law to show that the closer a planet is to the Sun, the...
Use Kepler's third law to show that the closer a planet is to the Sun, the shorter its period. Kepler's third law relates a planet's period around the Sun to the length of the (select) (semimajor or semiminor) axis such that T2 = kR3. It is obvious from this expression that as the distance from the Sun (select) (T or k or R) decreases the period (select) (T or k or R) decreases as well. I have to find the...
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to...
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to the semi-major axis (orbital distance, a) of its orbit(p2= a3). We can apply this law as long the object orbits the Sun or another object of the same mass, and the units of orbital period are in (Earth) years and the orbital distance is in Astronomical Units(AU). [1AU is equal to the distance between the Earth and the Sun]. [Note: Newton extended this law...
Kepler’s third law
Kepler’s third law. According to Kepler’s third law of planetary motion, the ratio t^2/r^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun. Jupiter orbits the sun in 11.86 years with an average radius of 5.2 AU, whereas Saturn orbits the sun in 29.46 years If...
please answer and show work for all parts of equation Kepler's Law, which states that the...
please answer and show work for all parts
of equation
Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, d (measured in billions of kilometers), that the planet is from the Sun. 19 a. It takes Saturn approximately 30 Earth years to orbit the Sun with a mean distance of 1.4 billion kilometers. Use this information to...
Now M is the sum of the two masses in units of the solar mass .e. the mass of our Sun), while a i...
Now M is the sum of the two masses in units of the solar mass .e. the mass of our Sun), while a is still in AU and P in years. An important application of Newton's generalization of Kepler's third law is being able to dete mine mass of a central body based on the motion of a satellite around that body. If the satellite is much less massive than the body it's orbiting, then M is essentially equal to...
Newton's version of Kepler's Law Force Example Use what we know about the earth's orbit to estimate the...
Newton's version of Kepler's Law Force Example Use what we know about the earth's orbit to estimate the mass of the sun. For this problem we can use Newton's form of Kepler's law Solving for the sum of the masses we get to use this law we need all our values to be kilograms, meters, and seconds. a 1AU-149.6x10P m and p- 1 year (365.25 days/year)(24 hours/day)(3600 seconds/hour)-3.15x 10" sec. Placing these values in to our equation we get M+...
ASTRONOMY 4. Suppose we make a scale model of the Solar System in which the model...
ASTRONOMY
4. Suppose we make a scale model of the Solar System in which the model Earth is 1 centimeter in radius (about the size of a piece of candy). The real Earth is 6.4x10"cm in radius. Jupiter is 7.1x10°cm in radius. How big must the scale model version of Jupiter be in order to be the right size relative to the Earth? 5. Kepler's Third Law of planetary motion relates the time, P, i takes a planet to complete...
A. The Sun travels in a circular orbit at a velocity of 220 km/second at a...
A. The Sun travels in a circular orbit at a velocity of 220 km/second at a distance of 8.0 kiloparsecs from the center of the Galaxy (note that these numbers are slightly different from those in your book). Calculate the number of years it takes the Sun to complete an orbit (i.e., the circumference of a circle with an 8.0 kiloparsec radius) around the center of the Galaxy. (There are 3.1 x 1013 kilometers/parsec and 3.2 x 107 seconds/year.) B....
Question 9 Third Law of Thermodynamics states entropy is _when at zero kelvin and in a...
Question 9 Third Law of Thermodynamics states entropy is _when at zero kelvin and in a crystal (1 point) * infinite none one O zero Question 10 Second Law of Thermodynamics states entropy is ___always for the Universe (1 point) infinite O negative O positive O zero
QUESTION 4 1 points Using Newton's revision of Kepler's third law, calculate the mass (in solar masses) of a star where an Earth like planet orbits it with a semi-major axis of 9 AU and a period of 4.87 Earth years. Recall that for an Earth-like planet, its mass is negligible compared to that of the star. Report your answer to two decimal places
please answer and show work for all parts
of equation
Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, d (measured in billions of kilometers), that the planet is from the Sun. 19 a. It takes Saturn approximately 30 Earth years to orbit the Sun with a mean distance of 1.4 billion kilometers. Use this information to...
Now M is the sum of the two masses in units of the solar mass .e. the mass of our Sun), while a is still in AU and P in years. An important application of Newton's generalization of Kepler's third law is being able to dete mine mass of a central body based on the motion of a satellite around that body. If the satellite is much less massive than the body it's orbiting, then M is essentially equal to...
Newton's version of Kepler's Law Force Example Use what we know about the earth's orbit to estimate the mass of the sun. For this problem we can use Newton's form of Kepler's law Solving for the sum of the masses we get to use this law we need all our values to be kilograms, meters, and seconds. a 1AU-149.6x10P m and p- 1 year (365.25 days/year)(24 hours/day)(3600 seconds/hour)-3.15x 10" sec. Placing these values in to our equation we get M+...
ASTRONOMY
4. Suppose we make a scale model of the Solar System in which the model Earth is 1 centimeter in radius (about the size of a piece of candy). The real Earth is 6.4x10"cm in radius. Jupiter is 7.1x10°cm in radius. How big must the scale model version of Jupiter be in order to be the right size relative to the Earth? 5. Kepler's Third Law of planetary motion relates the time, P, i takes a planet to complete...
Question 9 Third Law of Thermodynamics states entropy is _when at zero kelvin and in a crystal (1 point) * infinite none one O zero Question 10 Second Law of Thermodynamics states entropy is ___always for the Universe (1 point) infinite O negative O positive O zero
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