A comet is observed approaching the earth when it is 402,000 km from the center of the earth with a true anomaly of 150°. If the speed of the comet is measured to be 2.23 km/s, determine: a. the eccentricity of the trajectory b. the altitude at closest approach, in km c. the speed at closest approach, in km/s Ans. a) 1.086; b) 5,088 km; c) 8.516 km/s

A comet is observed approaching the earth when it is 402,000 km from the center of the earth with a true anomaly of 150°. If the speed of the comet is measured to be 2.23 km/s, determine: a. the eccentricity of the trajectory b. the altitude at closest approach, in km c. the speed at closest approach, in km/s Ans. a) 1.086; b) 5,088 km; c) 8.516 km/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 14PQ: Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility...

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Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?
Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1A.U. = 1.5 x 10^11 m, a) Determine how many A.U.'s is Neptune's orbital radius (Round to the nearest tenth). b) Given the Sun's mass is 1.99 x10^30 kg, use Newton's modified version of Kepler's formula T^2 = (4pi^2/Gm(star)) x d^3 to find the period in seconds using scientific notation. (Round to the nearest thousandth). C) Convert the period in part b) to years (Round to the nearest tenth)
According to Lunar Laser Ranging experiments the average distance LM from the Earth to theMoon is approximately 3.85 × 105 km. The Moon orbits the Earth and completes one revolutionin approximately 27.5 days (a sidereal month). a) Calculate the orbital velocity of the Moon.b) Calculate mass of the Earth.
Consider an imaginary planet in our solar system at an average distance of25 AU from the Sun.(a) Calculate the orbital period of this planet. (b) This fictional planet has an orbital eccentricity of e = 0.4, calculatethe planet’s distance to the Sun at aphelion and perihelion. (c) Another imaginary planet in our solar system has a perihelion distanceof 12 AU from the Sun and an aphelion distance of 68 AU. Is theeccentricity of this new planet greater or less than the planet in theprevious question?
(to two decimal places): (what is ‘h’?) Eccentricity of earth orbit is 0.0167 µ(sun) = 1.32712E+11 km^3/s^ semimajor axis of Earth orbit = 1.49598E+08 need to figure out what ‘h’ is. a) Calculate the speed of the earth around the sun at aphelion? (29.29 KM/S) b) At perihelion? (30.29 KM/S)
Mars has a Known radius of 3390 Km. Somebody threw a baseball at 990 Km/hr and it orbited the planer succesfuly. a) determine the period of orbit in secords b) Determine the gravitational field strength on Mars in N/Kg (how can I do that if I don´t have the mass of Mars)
According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.89 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate mass of the Earth Me. Give the answer in 1024 kg. Answer: Choose...
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)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.
Industrial electronic Provide complete soln. Calculate its weight at the foM0wing locations (i) Moon. gm = 1.62 m/s2 (i) Sun. gs 274.68 m/s2 (ü)Mercury, gme = 3.53 m/s2 (iv) Jupiter. gj = 26.0 m/s2 (v) Saturn. gsa = 1.2 m/s2 and (vi) Venus. gv =8.54 m/s2.
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