We want to position a space probe along a line that extends directly toward the Sun in order to monitor solar flares. How far from Earth’s center is the point on the line where the Sun’s gravitational pull on the probe balances Earth’s pull?

We want to position a space probe along a line that extends directly toward the Sun in order to monitor solar flares. How far from Earth’s center is the point on the line where the Sun’s gravitational pull on the probe balances Earth’s pull?

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 38PQ

See similar textbooks

Similar questions

Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)
Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
(a) When a communication satellite is placed in a geosynchronous orbit above the equator, it remains fixed over a given point on the ground. Is it possible to put a satellite into an orbit so that it remains fixed above the north pole? Explain. (b) Rockets are launched into space from Cape Canaveral in an easterly direction. Is there an advantage to launching to the east versus launching to the west? Explain. (c) If you light a candle on the International Space Station (which would not be a good idea) would it burn the same as on the earth? Explain.
Suppose you are in a circular orbit above the moon Rhea with a radius of 824.7 km, and you have 154.4 m/s of delta V. Suppose you put all your delta V to go into an elliptical orbit, what is the semi-major axis of this elliptical orbit assuming the mass of Rhea is 2.3065 ×1021 kg and you can ignore the gravitational effects of Saturn?
A communications firm wants to place a satellite in orbit so that it is always directly above the earth’s 45th parallel (latitude 45 north). This means that the plane of the orbit will not pass through the center of the earth. Is such an orbit possible? Why or why not?A communications firm wants to place a satellite in orbit so that it is always directly above the earth’s 45th parallel (latitude 45 north). This means that the plane of the orbit will not pass through the center of the earth. Is such an orbit possible? Why or why not?
The Earth’s radius is about 6400 km. The International Space Station (ISS) orbits about 400 km above Earth’s surface. So the center-to-center distance between Earth’s center and the space station is about 6800 km. Estimate Earth’s gravitational acceleration at the space station orbital height, giss. Use the ratio approach: giss / g = giss /980 = (6400 /6800)^2 = giss = cm/s^2.
A satellite in geostationary orbit (also called synchronous orbit) appears to remain stationary in the sky as seen from any particular location on the planet. a.) In the future, there will be need for satellites in synchronous orbit around Mars to aid colonies. At what altitude would such a satellite need to be above the surface of Mars?Assume that the mass of Mars is 6.39 × 10^23 kg, the length of the Martian solar day (i.e., sol) is 24h 39m 35s, the length of the sidereal day is 24h 37m 22s, and the equatorial radius is 3396 km. (Hint: if you haven’t had a physics class before, you can find this by using the fact that the acceleration of an object in circular motion either as v2/r, where v and r are the velocity and radius of the orbit, or as 4Pi 2r/T2 , where T is the period. Use this second equation and Mathematical Insight 4.5 on p. 131 to find r for T=1 day. Make sure to use values for Mars nstead of Earth, as necessary. Alternatively, you can calculate the answer using Newton’s…
A planet with mass of 7.50 x 1024) and Jupiter (m = 1.901 x 1027) are attracted to each other. However, they are in a long-distance relationship, being separated by a distance of 4.09 x 1014 meters. Calculate the force of attraction between these two planets. (Iwant to see the set-up of the equation. You can attach a picture and upload it)
A 3000-kg satellite orbits the Earth in a circular orbit 11797 km above the Earth's surface (Earth radius = 6380 km, Earth Mass = 5.97x1024 kg). What is the gravitational force (in newtons, N) between the satellite and the Earth? Hint: The radius of the Earth + the height of the orbit = the center-to-center distance needed for the equation. You also need the universal gravitational constant (G), which is not 9.81 m/s2. Be careful. Gmim2 F
The planet Mercury has a mass of 3.30×1023 kilograms (kg) and a radius of 2440 kilometers (km). The universal gravitational constant is G = 6.67 × 10−11 Nm2/kg2. A) If a is ball is launched upwards from the surface of Mercury with an initial speed of 2.15 kilometers per second (km/s), what height maximum height above the surface will it reach before falling back down? Give your answer in units of kilometers (km). Assume that the total mechanical energy of the ball is conserved. B) What is the escape speed of Mercury? Give your answer in units km/s.
A 200 kg satellite is orbiting around the Earth at an altitude of 35768 km above Earth's equator. Since the Earth's radius is 6378 km, the satellite is (35768 km + 6378 km) = 42146 km from the center of the Earth. (The mass of the Earth is 5,972 x 1024 kg.) a) What is the gravitational force between the Earth and the satellite? b) What is the acceleration of the satellite due to this gravitational force? c) Assuming the satellite is orbiting the Earth in a circular orbit, what is the speed of the satellite? d) How long does it take the satellite to complete one orbit around the Earth? Show your answer in unit of day.,
A planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly circular orbit. The radius of the orbit is 9.3 × 107 km.(a) What is the magnitude of the force of gravity that the star exerts on the planet? Give your answer in Newtons. (b) What is the speed of the planet’s orbit around the star, in units of km/s?(c) What is the period of the planet’s orbit around the star, in Earth days.