A satellite of mass m= 100 kg is in a circular orbit at a height h = R above the surface of the earth where R is the radius of the earth. Find (a) the acceleration due to gravity at any point on the path of the satellite, (b) the gravitational force on the satellite and (c) the centripetal force on the satellite.
Q: You are designing a spacecraft intended to monitor a human expedition to Mars (mass 6.42 * 10^23 kg,…
A: Given: Mass=6.42×1023 kgRadius=3.39×106 mOrbitalperiod, T=24.66 h=24.66×60×60 s
Q: A satellite is launched to orbit the Earth at an altitude of 3.35 x 10' m for use in the Global…
A: (a) Let r denotes the Earth’s radius, h denotes the satellite’s altitude, M denotes the Earth’s…
Q: A 210-kg object and a 510-kg object are separated by 4.80 m. (a) Find the magnitude of the net…
A: Given:- The mass of object m1 = 210 kg and m2 = 510 kg The separation distance between them is…
Q: Two identical metal rods of rectangular cross-section are welded end-to-end as shown in pa of the…
A: Solution Given dataTwo identical metal rods of rectangular cross-section are welded…
Q: The distance between the centers of the earth and the moon is 3.85 × 108 m. The moon has a mass…
A:
Q: A satellite is launched to orbit the Earth at an altitude of 1.40x107 m for use in the Global…
A: Given data The altitude is a=1.40×107 m The mass of the earth is me=5.94×1024 kg The radius of the…
Q: (a) Find the net gravitational force exerted by these objects on a 63.0 kg object placed midway…
A: Given value--- m1 = 175 kg. m2 = 475 kg. distance between m1 and m2 = 0.390 m. We have to find---…
Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 180 km above…
A:
Q: Sun 0.570 AU 2a (Orbit is not drawn to scale.)
A:
Q: The International Space Station has a mass of 4.19 x 105 kg and orbits at a radius of 6.79 x 10 m…
A:
Q: Geosynchronous orbits e
A:
Q: (a) particle A, (b) particle B, and (c) particle C.
A: Kindly note that the net forces are kept in the box in the last of the answer, do take care of the…
Q: Two hollow spherical shells are both centered on point C and have masses in the ratio M1/M2=1/4.…
A:
Q: A coordinate system (in meters) s constructed on the surface of a pool table, and three objects are…
A: The gravitational force (F) between any two objects of masses m1 and m2 is given as, F→ = Gm1m2r2…
Q: Determine the gravitational acceleration at a distance of 2 x 106 m directly above the surface of…
A: The object’s weight is the gravitational force on the object by the planet. The planet’s gravitation…
Q: A satellite is launched to orbit the Earth at an altitude of 2.45 x 107 m for use in the Global…
A: (a) The orbital period of the GPS satellite can be determined as, Here, G, M, r and h represent…
Q: ma is at the center of the triangle. The net gravitational force on that central sphere from the…
A:
Q: A satellite is in a circular orbit around the Earth at a distance where the gravitational field is g…
A:
Q: NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's…
A: The mass of the satellite is m = 470 kg. The mass of the Earth is M = 5.97x1024 kg. The radius of…
Q: A satellite is launched to orbit the Earth at an altitude of 1.05 x 107 m for use in the Global…
A:
Q: A satellite is in a circular orbit around the Earth at an altitude of 2.70 x 10° m. (a) Find the…
A: Given that a satellite is in a circular orbit around the earth at an altitude of 2.70 * 10^6metre.…
Q: A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are…
A:
Q: A satellite of mass 53.6 kg in geosynchronous orbit at an altitude of 3.58 * 10^4 km above the…
A: Given- Mass of satellite (m) = 53.6 kg Distance from the earth's surface (d) = 3.58*104 km =…
Q: A 2000. kg satellite is put into a circular orbit around the earth (mass = 6.00 X 1024 kg). If the…
A:
Q: A satellite travels around Earth in uniform circular motion, at a height of 35,800 km above Earth's…
A: Gravitational force between two masses is given by, F = GMmr2 Here, G is the…
Q: One model for a certain planet has a core of radius Rand mass M surrounded by an outer shell of…
A:
Q: A 200 kg satellite is placed into orbit around the Earth with a radius of 4.23 x 107 m. The mass of…
A: Given dat Mass of the satellite, m=200 kg Radius of the orbit, R=4.23×107 m Mass of the earth,…
Q: A 230-kg object and a 530-kg object are separated by 3.90 m. (a) Find the magnitude of the net…
A:
Q: A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are…
A:
Q: On the ground level, the weight of a satellite is W N. The satellite is launched and stays in an…
A: On surface of the earth gravity is g = GMR2 , where R is radius of earth , G is gravitational…
Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…
A: The orbital period of a planet is, The planet’s mass is,
Q: A 300kg satellite moves in a circular orbit around the Mars (radius of the planet Mars is 3.37 ✕ 106…
A: (a) As the satellite moves in circular orbit, the centripetal acceleration is balanced by the…
Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 ✕ 106 m and a period of 2.8 ✕ 104…
A: Let r and T denote the given satellite’s radius of orbit and revolution period around Mars,…
Q: A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are…
A: Given that:- M1=1.9kg M2=3.3kg M3=5.3kg
Q: Why does a satellite in a circular orbit travel at a constant speed? There is no component of force…
A: Solution
Q: Assuming that the Earth has a uniform density, ρ=5540.0 kg/m3, what is the value of the…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- (a) How far from the center of Earth would the net gravitational force of Earth and the Moon on an object be zero? (b) Setting the magnitudes of the forces equal should result in two answers from the quadratic. Do you understand why there are two positions, but only one where the net force is zero?A satellite is in a circular orbit around the Earth at an altitude of 3.82 x 106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 x 106 m, and the mass of the Earth is 5.98 x 1024 kg.) h (b) Find the speed of the satellite. km/s (c) Find the acceleration of the satellite. m/s2 toward the center of the earthA satellite is in a circular orbit around the Earth at an altitude of 2.62 × 106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 x 106 m, and the mass of the Earth is 5.98 x 1024 kg.) h (b) Find the speed of the satellite. km/s (c) Find the acceleration of the satellite. m/s² toward the center of the earth
- A satellite is in a circular orbit around the Earth at an altitude of 3.94 x 106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 x 106 m, and the mass of the Earth is 5.98 x 1024 kg.) (b) Find the speed of the satellite. km/s (c) Find the acceleration of the satellite. m/s² toward the center of the earthThe orbit of the planet Venus is nearly circular with an orbital velocity of 126.5x103 km/h. Knowing that the mean distance from the center of the sun to the center of Venus is 108.5?1021 km and that the radius of the sun is 695.5x103 km, determine (a) the mass of the sun, (b) the acceleration of gravity at the surface of the sun.A satellite is launched to orbit the Earth at an altitude of 1.80 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period of this GPS satellite? h (b) With what speed does it orbit the Earth? m/s
- A satellite is in a circular orbit around the Earth at an altitude of 2.63 x 10° m. (a) Find the period of the orbit. (b) Find the speed of the satellite. (c) Find the acceleration of the satellite. Step 1 (a) satelli has an Ititu of h = 2.63 x 10° m face of Earth, the adius orbit r, where R- is the Earth's radius, is given by x 106 m) = x 106 m. RE + h = 6.38 x 106 r = +(a) What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 160 km above Earth's surface? (b) What is the period of revolution? Take the mass of earth as 5.98×1024 kg and the radius as 6.37×106 mA 639-kg satellite is in a circular orbit about Earth at a height ℎ=1.09e7h=1.09e7 m above the Earth's surface. Find (a) the gravitational force acting on the satellite, (b) the satellite's speed (magnitude of its velocity, notnot its angular velocity), and (c) the period of its revolution. Caution: The radius of the satellite's orbit is not just its height above the Earth's surface. It also includes the radius of the Earth. The mass of the Earth is 5.98×10245.98×1024 kg, and the radius of the Earth is 6.38×1066.38×106 m.
- Earth’s gravitational field strength at the surface is 9.80 N/kg. Determine the distance, as a multiple of Earth’sradius, rE, above Earth’s surface at which the magnitude of the acceleration due to gravity is 3.20 N/kg.The International Space Station has a mass of 4.19 ✕ 105 kg and orbits at a radius of 6.79 ✕ 106 m from the center of Earth. Find the gravitational force exerted by Earth on the space station, the space station's gravitational potential energy, and the weight of an 88.3 kg astronaut living inside the station. Just need the answer to option B (a) the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.) 3622431.86 N (b) the space station's gravitational potential energy (in J) _____________J (c) the weight (in N) of an 88.3 kg astronaut living inside the station 763.39 NAstronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 2.25 Earth years in a circular orbit around its star, which has a measured mass of 3.80×1030 kg. a) What is the radius of the orbit in meters? b) If the exoplanet has a mass of 6.100x10 24kg and a radius of 6520km, what will be the acceleration due to gravity on the surface of the exoplanet?