A geostationary satellite is a satellite that isalways at a fixed position with respect to anyposition on the planet, i.e. as the planetsrotate around their axis, the satellite rotatesat the same angular rate as the the planet.The planet Mercury has a radiusr= 2.44×10° m and a massm = 3.301× 1043 kg. An average solar dayon the planet Mercury is T= 1408 h. Ageostationary satellite of m, = 33775 kg isat a height h = 2.405×10° m. (Use%3DN m2for theG = 6.674×10-11kg2gravitational constant).1. Calculate the the average speed of thegeostationary satellite on its orbitaround the planet: V =2. Calculate the centripetal accelerationof the satellite at this height? a.=3. What is the magnitude of thecentripetal force on the satellite?F =4. What is the magnitude of thegravitational force on the satellite?F =

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A geostationary satellite is a satellite that is always at a fixed position with respect to any position on the planet, i.e. as the planets rotate around their axis, the satellite rotates at the same angular rate as the the planet. The planet Mercury has a radius r= 2.44x10° m and a mass m=3.301× 1023 kg. An average solar day

A geostationary satellite is a satellite that is always at a fixed position with respect to any position on the planet, i.e. as the planets rotate around their axis, the satellite rotates at the same angular rate as the the planet. The planet Mercury has a radius r= 2.44x10° m and a mass m=3.301× 1023 kg. An average solar day

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?
On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?
Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr. (AU is the symbol for astronomical unit, where 1 AU = 1.50 1011 m is the mean EarthSun distance.) How far from the Sun will Halleys comet travel before it starts its return journey?
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
The Sun’s mass is 2.01030kg , its radius is 7.0105km , and it has a rotational period of approximately 28 days. If the Sun should collapse into a white dwarf of radius 3.5103km , what would its period be if no mass were ejected and a sphere of uniform density can model the Sun both before and after?
Neptune has a mass of 1.01026kg and is 4.5109km from the Sun with an orbital period of 165 years. Planetesimals in the outer primordial solar system 4.5 billion years ago coalesced into Neptune over hundreds of millions of years. If the primordial disk that evolved into our present day solar system had a radius of 1011km and if the matter that made up these planetesimals that later became Neptune was spread out evenly on the edges of it, what was the orbital period of the outer edges of the primordial disk?
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.
A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been discovered. Because of their proximity to their parent stars, and their compositional similarity to Jupiter, they have been labeled “Hot Jupiters”. The orbital radius of one of these planets is 0.06 A.U. with average orbital speed 600 km/sec. What is the length of this planet’s year in Earth (solar) days? Estimate the mass, M, of its parent star in terms of the mass of the sun (M) using Newton’s first form of Kepler’s 3rd Law. Calculate the star’s luminosity, L, in terms of the luminosity of the sun (L☉), Note: (LL=MM4where L ~ 4 × 1026 W ). The radius of this planet is 1.5 times the radius of Jupiter. Assuming its equilibrium temperature is the temperature at which the planet radiates as much energy as it receives from its star, estimate the temperature of the planet. The value of the planet’s albedo is 0.8. (NOTE: The intensity of the star’s radiant power at a distance d from the star is…
A uniform distribution of dust in the solar system adds to the gravitational attraction of the Sun on a planet an additional forceF = −m C rwhere m is the mass of the planet, C is a constant proportional to the gravitational constant and the density of the dust, and r is the radius vector from the Sun to the planet (both considered as points). This additional force is very small compared to the direct Sun-planet gravitational force. Calculate the period of radial oscillations for slight disturbances fromthis circular orbit.
The rings of the planet Saturn consist of particles of rock and ice which orbit the = 5.7 × 104ºkg. Suppose a particle has a planet. The mass of Saturn is MSat mass 2,806 kg, and is orbiting at a distance of 2,442 km from the surface of Saturn. The radius of Saturn is ľsat G = 6.67 × 10-1'm². kg¬1.s-2 60, 300 km and Calculate the magnitude of the gravitational attract between the particle and Saturn to 2 sf. Your Answer: Answer
a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 e