Homework Answers
Rate of change of momentum is the force on the comet. At the given position, the force on the comet will be the gravitational force by the Sun. And the direction of this force will be represented by an arrow towards the Sun. Hence the correct option will be A.
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This diagram (not to scale) shows the orbit of a comet moving around the Sun. Which...
A comet moves in a counter-clockwise orbit around the Sun. A portion of the orbit is...
A comet moves in a counter-clockwise orbit around the Sun. A portion of the orbit is shown below (Ignore all gravitational forces acting on the comet other than that by the Sun.) 2. C The position vector 7 of the comet at a time t is shown in the diagram at right. In the diagram, draw a vector dr representing the infinitesimal displacement of the comet between timet and time (t + dt) a. Sun r Show that the magnitude...
A comet moves about the Sun in an elliptical orbit, with its closest approach to the...
A comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being about 0.620 AU and its greatest distance from the sun being 35.5 AU (1 AU = the Earth-Sun distance). If the comet's speed at closest approach is 54.0 km/s, what is its speed when it is farthest from the Sun? (The gravitational force exerted by the Sun on the comet is parallel to the moment arm, so exerts no torque. Therefore, angular...
A comet in orbit around the sun has an orbital eccentricity 0.4 and semi-major axis 6...
A comet in orbit around the sun has an orbital eccentricity 0.4 and semi-major axis 6 AU. What is the comet's furthest distance from the Sun in AU?
A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun...
A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 1010 m (inside the orbit of Mercury), at which point its speed is 9 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = ______m/s
8. A comet with unknown mass mc is in an elliptical orbit around the sun: R....
8. A comet with unknown mass mc is in an elliptical orbit around the sun: R. Rp mc mc MS ū When the comet is at its parahelion R, it has a speed of up = 80km/s and at its aphelion R, it has a speed of va = 10km/s. For this problem suppose we do not know the mass of the sun M, or the value of Newton's constant G, but we can approximate the orbit of the earth...
A comet has a period of 72.3 years and moves in an elliptical orbit in which...
A comet has a period of 72.3 years and moves in an elliptical orbit in which its perihelion (closest approach to the Sun) is 0.650 AU. Find the semimajor axis of the comet and an estimate of the comet's maximum distance from the Sun, both in astronomical units. (a.) the semimajor axis of the comet (in AU). (b.) an estimate of the comet's maximum distance (in AU) from the Sun.
A comet orbits the Sun and loses mass at a constant rate of 30,000kg/s. The only...
A comet orbits the Sun and loses mass at a constant rate of
30,000kg/s. The only force acting on the comet is the gravitational
force.
a) From the definition of torque in terms of angular momentum,
torque=dL/dt, show that
dI/dt=-alphaI/omega (alpha= angular acceleration, omega=angular
velocity)
b) The quantity omega/omega(with a dot on it), where (omega with
a dot on it=domega/dt) is a natural time scale for the system's
change in angular frequency (to see this, think about the units).
Approximating...
9. A comet has a period of 76.3 years and moves in elliptical orbit in which...
9. A comet has a period of 76.3 years and moves in elliptical orbit in which its perihelion (closest approach to the Sun) is 0.610 AU (Astronomical Units). Find (a) the semi-major axis of the comet and (b) an estimate of the comet's maximum distance from the Sun, both in astronomical units
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...
The orbit of a 1.5 ✕ 1010 kg comet around the Sun is elliptical, with an aphelion distance of 33.0 AU and...
The orbit of a 1.5 ✕ 1010 kg comet around the Sun is elliptical, with an aphelion distance of 33.0 AU and perihelion distance of 0.850 AU. (Note: 1 AU = one astronomical unit = the average distance from the Sun to the Earth = 1.496 ✕ 1011 m.) (a)What is its orbital eccentricity? (b)What is its period? (Enter your answer in yr.) (c)At aphelion what is the potential energy (in J) of the comet—Sun system?
A comet moves in a counter-clockwise orbit around the Sun. A portion of the orbit is shown below (Ignore all gravitational forces acting on the comet other than that by the Sun.) 2. C The position vector 7 of the comet at a time t is shown in the diagram at right. In the diagram, draw a vector dr representing the infinitesimal displacement of the comet between timet and time (t + dt) a. Sun r Show that the magnitude...
8. A comet with unknown mass mc is in an elliptical orbit around the sun: R. Rp mc mc MS ū When the comet is at its parahelion R, it has a speed of up = 80km/s and at its aphelion R, it has a speed of va = 10km/s. For this problem suppose we do not know the mass of the sun M, or the value of Newton's constant G, but we can approximate the orbit of the earth...
A comet orbits the Sun and loses mass at a constant rate of
30,000kg/s. The only force acting on the comet is the gravitational
force.
a) From the definition of torque in terms of angular momentum,
torque=dL/dt, show that
dI/dt=-alphaI/omega (alpha= angular acceleration, omega=angular
velocity)
b) The quantity omega/omega(with a dot on it), where (omega with
a dot on it=domega/dt) is a natural time scale for the system's
change in angular frequency (to see this, think about the units).
Approximating...
9. A comet has a period of 76.3 years and moves in elliptical orbit in which its perihelion (closest approach to the Sun) is 0.610 AU (Astronomical Units). Find (a) the semi-major axis of the comet and (b) an estimate of the comet's maximum distance from the Sun, both in astronomical units
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...
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