Assume these are the mass and radius of Venus. Myenus = 5 x 1024 kg, Ryenus = 6,000,000 meters. What is the velocity required to put a satellite into stable orbit around Venus starting from the surface of Venus so that it orbits once every 24 hours? [ignore the rotational velocity of Venus and gravity of the Sun] 10.23 km/s 9.95 km/s 10.35 km/s 10.14 km/s 10.06 km/s

Assume these are the mass and radius of Venus. Myenus = 5 x 1024 kg, Ryenus = 6,000,000 meters. What is the velocity required to put a satellite into stable orbit around Venus starting from the surface of Venus so that it orbits once every 24 hours? [ignore the rotational velocity of Venus and gravity of the Sun] 10.23 km/s 9.95 km/s 10.35 km/s 10.14 km/s 10.06 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?
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.
Congratulations! You just derived a version of Kepler's Third Law for Mars! Using the mass of Mars in kilograms and converting the 4.5 hours to seconds, calculate the distance from the center of the planet. GM kg 4π² ]s)² 3 = And then determine the distance (in km) from the surface. r = rm + rs rs km = km
What is the gravity of Mars, if the mass of the planet is 6.39x1023kg and the radius of the planet is 3397.2 km? What problems would there be on a mission to Mars?
To model a moon in the solar system, consider a sphere with radius R and uniform mass density p. Let gm = the acceleration due to gravity on the surface of the sphere. Calculate gm for these values of R and p: R = 2.0×106 m; p= 2.7x103 kg/m^3; (in m/s^2) OA: OB: 1.509 2.007 OC: 2.669 OD: 3.549 OE: OF: 4.721 6.279 OG: 8.351 OH: 1.111x101
(a) Jupiter's third-largest natural satellite, Io, follows an orbit with a semimajor axis of 422,000 km (4.22 ✕ 105 km) and a period of 1.77 Earth days (PIo = 1.77 d). To use Kepler's Third Law, we first must convert Io's orbital semimajor axis to astronomical units. One AU equals 150 million km (1 AU = 1.50 ✕ 108 km). Convert Io's a value to AU and record the result. aIo = AU (b) One Earth year is about 365 days. Convert Io's orbital period to Earth years and record the result. PIo = yr (c) Use the Kepler's Third Law Calculator to calculate Jupiter's mass in solar units. Record the result. MJup(Io) = MSun (d) Based on this result, Jupiter's mass is about that of the Sun. Jupiter has a similar fraction of the Sun's volume. The two objects therefore have rather similar density! In fact, Jupiter has a fairly similar composition as well: most of its mass is in the form of hydrogen and helium.
Calculate the surface escape velocities for Mars. rM = 3.3× 106 m, MM = 6 × 1022 kg).
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)
Assume the earth's mass is 55.818 x 1025 kg, and radius is 10.63 x 103 miles, what would be the gravitational acceleration on such an planet in unit of m/s2? Use G=6.67x 10 -11 Nm2/kg2.
In a distant star system there are many inhabitable planets. One of these planets is named Qomar. Qomar is 3.2 AU's from its star and takes 6.5 Earth years to go around its star once. There is another planet in the same star system called Ferenginar. Ferenginar is 0.9 AUs from the star. What is the length of a Ferengi year (on Ferenginar) in terms of Earth years?
Venus is orbiting round the sun in 225 days. Calculate the orbital radius and speed of planet. (Mass of sun = 2 × 10³⁰ kg, G = 6.67 × 10-¹¹ S. I. unit).
16. Calculate the escape speed of a planet with a radius of 1569 km and a gravitational acceleration of 1.30 m/s².