Four planets, A through D, orbit the same star. The relative masses and distances from the...
Four planets, A through D, orbit the same star. The relative masses and distances from the start for each planet are shown in the table. For example, Plant A has twice the mass of Planet B, and Planet D has three times the orbital radius of Planet A. Which planet has the highest gravitational attraction to the star and why?
Planet A, relative mass is 2m, relative distance is r
Planet B, relative mass is m, relative distance is 0.1 r
Planet C, relative mass is 0.5m, relative distance is 2 r
Planet D, relative mass is 4m, relative distance is 3 r
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Four planets, A through D, orbit the same star. The relative
masses and distances from the...
Orbits of four different planets around the same star are shown. The masses of the planets,...
Orbits of four different planets around the same star are shown.
The masses of the planets, expressed in terms of the mass M of the
smallest planet, can be found in the included table, while the
relative sizes of the orbits can be determined from the diagram.
Assume that the mass of the star is much larger than the mass of
the planets. Rank the period T of the four orbits, from longest to
shortest.
Orbits of four different planets...
A resonance orbit is one in which planets have a fixed ratio of orbital periods. For...
A resonance orbit is one in which planets have a fixed ratio of orbital periods. For example, for 2 planets with an orbital resonance of 3:1, the outer planet's orbital period would be 3 times that of the inner one. That is, the inner planet can complete 3 exact orbits whilst the outer one completes only one. This is a special type of orbital "locking". The two planets orbiting the nearby star are observed to be in a 2:1 resonance...
Satellite A has twice the mass of satellite B, and circles in the same orbit. Compare the two satellite's speeds. The s...
Satellite A has twice the mass of satellite B, and circles in the same orbit. Compare the two satellite's speeds. The speed of B is twice the speed of A. The speed of Bis half the speed of A. A. The speed of Bis one-fourth the speed of A. The speed of B is equal to the speed of A. The speed of Halley's Comet, while traveling in its elliptical orbit around the Sun, O is constant increases as it...
Two planets are orbiting around the same star. Planet A has four times the mass of...
Two planets are orbiting around the same star. Planet A has four times the mass of planet B. Planet A is located twice further from the star than planet B. When comparing the force of gravity affecting both planets, what is the value of the following ratio: FG on A FG on B O A) 4 B) 2 C) 1 D) 1/2 O E) 1/4
3) The next two questions pertain to the following situation. Star S has two planets, X...
3) The next two questions pertain to the following situation. Star S has two planets, X and Y, that both orbit Sin uniform circular motion. Planet X of mass my = 2.7 x 1021 kg orbits star S in uniform circular motion at a distance rx = 2.8 * 1012 m and with speed vx = 9.7 x 104 m/s. The mass of star S is Ms and its radius is Rs = 2 x 10 m, as shown in...
Part a) Part b) Part c) Part d) A distant star named α of mass M...
Part a)
Part b)
Part c)
Part d)
A distant star named α of mass M 1031 kg and radius 108 m has only 2 small planets named X and Y and none others. The two planets have circular orbits with periods T and 9T, respectively, where T- 3.14159 x 107s. What is the radius of the inner planet's orbit rx? What is the radius of the outer planet's orbit ry? If the orbital velocity of planet Y is 2540...
Question 1 3 pts Planet A and Planet B orbit a star in circular orbits. The...
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A planet is discovered to orbit around a star in the galaxy Andromeda, with the same...
A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orb o One-fourth as much o One-half as much Twice as much A. Four times much The average distance from the Earth to the Sun is defined as one "astronomical...
Over 500 planets have so far been detected beyond our solar system. This is accomplished by looki...
Over 500 planets have so far been detected beyond our solar system. This is accomplished by looking for the effect the planet has on the star. The star is not truly stationary; instead, it and its planets orbit around the center of mass of the system. Astronomers can measure this wobble in the position of a star. a.) For a star with the mass and size of our sun and having a planet with two times the mass of Jupiter,...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
Orbits of four different planets around the same star are shown.
The masses of the planets, expressed in terms of the mass M of the
smallest planet, can be found in the included table, while the
relative sizes of the orbits can be determined from the diagram.
Assume that the mass of the star is much larger than the mass of
the planets. Rank the period T of the four orbits, from longest to
shortest.
Orbits of four different planets...
Satellite A has twice the mass of satellite B, and circles in the same orbit. Compare the two satellite's speeds. The speed of B is twice the speed of A. The speed of Bis half the speed of A. A. The speed of Bis one-fourth the speed of A. The speed of B is equal to the speed of A. The speed of Halley's Comet, while traveling in its elliptical orbit around the Sun, O is constant increases as it...
Two planets are orbiting around the same star. Planet A has four times the mass of planet B. Planet A is located twice further from the star than planet B. When comparing the force of gravity affecting both planets, what is the value of the following ratio: FG on A FG on B O A) 4 B) 2 C) 1 D) 1/2 O E) 1/4
3) The next two questions pertain to the following situation. Star S has two planets, X and Y, that both orbit Sin uniform circular motion. Planet X of mass my = 2.7 x 1021 kg orbits star S in uniform circular motion at a distance rx = 2.8 * 1012 m and with speed vx = 9.7 x 104 m/s. The mass of star S is Ms and its radius is Rs = 2 x 10 m, as shown in...
Part a)
Part b)
Part c)
Part d)
A distant star named α of mass M 1031 kg and radius 108 m has only 2 small planets named X and Y and none others. The two planets have circular orbits with periods T and 9T, respectively, where T- 3.14159 x 107s. What is the radius of the inner planet's orbit rx? What is the radius of the outer planet's orbit ry? If the orbital velocity of planet Y is 2540...
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A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orb o One-fourth as much o One-half as much Twice as much A. Four times much The average distance from the Earth to the Sun is defined as one "astronomical...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
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