Homework Answers
They will have longer periods those who are orbiting beyond Calisto's orbit.
According to Kepler's 3rd law, T3=r3, where T= time period and r= distance of the semi-major axis
So, from the above equation, we can know that the more the distance the more will be the time period. So moons beyond Calisto means those who are orbiting at a distance more than the Calisto's orbit. As the distance for these moons is more so the time period will also be more according to the Kepler's 3rd law.
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There are many moons of Jupiter beyond the orbit of Callisto. Will they have longer or...
Jupiter has numerous moons. Four moons er. discovered by Gel eo in 1610 One of these...
Jupiter has numerous moons. Four moons er. discovered by Gel eo in 1610 One of these moons, Ganv mede s bigger than Mercury Ganymede has s massof 14 Br?22kg·perod of 716 es th days, and a mean distance from Jupiter of 1.07x106 km. Your TA's havg recently discovered a new moon to Jupiter, and appropristely named it the Lost Ball Orbiter (LBO). This moon has a mean distance (a) from Jupiter of 12.6 x106 km, a radius of 2300 km,...
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...
An artificial satellite circles the Earth in a circular orbit at a location where the acceleration...
An artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 9.00 m/s^2. Determine the orbital period of the satellite. I_o, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 times 10^5 km. From these data, determine the mass of Jupiter. A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding...
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...
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a ho...
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a host planet. The planet has mass Mp, radius R and mean density pp; the moon has mass M, radius Rm rand mean density Pm You may ignore any forces beyond the moon-planet system. (i) Show that tidal forces lead to a differential acceleration, between the face of the moon closest to the planet and the moon's centre, of amplitude...
Use Kepler's third law to determine how many days it takes a spacecraft to travel i...
Use Kepler's third law to determine how many days it takes a spacecraft to travel i an elliptical orbit from a point 7 397 km from the Earth's center to the Moon, 385 000 km from the Earth's center 10 Your response differs from the correct answer by more than 10%. Double check your calculations, d
Multivariable Calculus help with the magnitude of angular momentum: My questions is exercise 4 but I have attached exercise 1 and other notes that I was provided 4 Exercise 4. In any mechanics proble...
Multivariable Calculus help with the magnitude of angular
momentum: My questions is exercise 4 but I have attached exercise 1
and other notes that I was provided
4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...
please explain how to get rid of the square and get the answer for C part...
please explain how to get rid of the square and get the answer
for C part as well.
A satellite is in a circular orbit around the Earth at an altitude of 3.23 x 106 m (a) Find the period of the orbit. (b) Find the speed of the satellite. (c) Find the acceleration of the satellite. Step 1 (a) If the satellite has an altitude of h - 3.23 x 106 m above the surface of the Earth, the...
Activity 2 You have made some conclusions about the water pressure at various points int water....
Activity 2 You have made some conclusions about the water pressure at various points int water. Do the following to test these conclusions: he beaker of a. Consider a container of water at rest. b. Imagine a cylindrical column of the water from the top of the water to a depth h below the top of the water; assume that the cross-sectional area is A. Draw all forces acting c the column of water. You may assume that the forces...
Jupiter has numerous moons. Four moons er. discovered by Gel eo in 1610 One of these moons, Ganv mede s bigger than Mercury Ganymede has s massof 14 Br?22kg·perod of 716 es th days, and a mean distance from Jupiter of 1.07x106 km. Your TA's havg recently discovered a new moon to Jupiter, and appropristely named it the Lost Ball Orbiter (LBO). This moon has a mean distance (a) from Jupiter of 12.6 x106 km, a radius of 2300 km,...
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...
An artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 9.00 m/s^2. Determine the orbital period of the satellite. I_o, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 times 10^5 km. From these data, determine the mass of Jupiter. A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding...
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...
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a host planet. The planet has mass Mp, radius R and mean density pp; the moon has mass M, radius Rm rand mean density Pm You may ignore any forces beyond the moon-planet system. (i) Show that tidal forces lead to a differential acceleration, between the face of the moon closest to the planet and the moon's centre, of amplitude...
Use Kepler's third law to determine how many days it takes a spacecraft to travel i an elliptical orbit from a point 7 397 km from the Earth's center to the Moon, 385 000 km from the Earth's center 10 Your response differs from the correct answer by more than 10%. Double check your calculations, d
Multivariable Calculus help with the magnitude of angular
momentum: My questions is exercise 4 but I have attached exercise 1
and other notes that I was provided
4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...
please explain how to get rid of the square and get the answer
for C part as well.
A satellite is in a circular orbit around the Earth at an altitude of 3.23 x 106 m (a) Find the period of the orbit. (b) Find the speed of the satellite. (c) Find the acceleration of the satellite. Step 1 (a) If the satellite has an altitude of h - 3.23 x 106 m above the surface of the Earth, the...
Activity 2 You have made some conclusions about the water pressure at various points int water. Do the following to test these conclusions: he beaker of a. Consider a container of water at rest. b. Imagine a cylindrical column of the water from the top of the water to a depth h below the top of the water; assume that the cross-sectional area is A. Draw all forces acting c the column of water. You may assume that the forces...
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