1. Halley’s Comet moves in an elongated elliptical orbit around the Sun. Its distances from the sun at perihelion and aphelion are 8.75 × 107 km and 5.26 × 109 km, respectively. Find the orbital semi-major axis, eccentricity, and period for Halley’s Comet.
2。 A toboggan loaded with students (total weight 300 kg) slides down a snow-covered slope. The hill slopes at a constant angle 40.0 ◦ , and the toboggan is so well waxed that there is virtually no friction. a) What is its acceleration? b) What would the acceleration be if the weight of the students is doubled?
1. Halley’s Comet moves in an elongated elliptical orbit around the Sun. Its distances from the...
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?
(1) Halley's Comet and Kepler's Laws: Halley's Comet orbits the Sun every 76.0 years. Its elliptical orbit has an eccentricity of 0.97. Using that information and the Kepler material in Math Insight Box 3.2 (p.70) and Figures 3.16, 3.17 and 3.18: 40 points total] (a) Find the comet's average distance from the Sun (semimajor axis, a) (b) Find its closest and furthest distances from the Sun: the Perihelion & Aphelion distances.
Holmes comet moves in an elliptical orbit of eccentricity 0.433 and perihelion distance 2.053AU. Compare its velocities, both liear and angular, at perihelion and aphelion.
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 Toboggan loaded with students (total weight 150N) slides down a snow covered slope. The at constant angle 45, and the toboggan is so well waxed that there is hill slopes a virtually no friction, What is its acceleration?
1 points SPreCalc7112.065.MI. My Notes Ask Your Teacher The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 207,000,000 km at perihelion and 249,000,000 km at aphelion. Find an equation for 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...
Pluto's orbit around the Sun is highly elliptical compared to the planets in our Solar System. It has a perihelion distance of 29.7 AU and an aphelion distance of 49.5 AU. a) What is the semi-major axis of Pluto's orbit, in AU? b) What is Pluto's orbital period, in Earth years?
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
Now we are going to look at the problem of an object sliding down a frictionless inclined plane. Suppose a toboggan loaded with vacationing students (total weight w) slides down a long, snow-covered slope. The hill slopes at a constant angle α, and the toboggan is so well waxed that there is virtually no friction. Find the toboggan’s acceleration and the magnitude n of the normal force the hill exerts on the toboggan. At what angle does the hill slope...