A body weighs 98 N on a spring balance at the north pole. What will be its weight recorded on the same scale if it is shifted to the equator ? Use g = GM/R²= 9-8 m/s and the radius of the earth R = 6400 km.
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![A body weighs 98 N on a spring balance at the north
pole. What woill be its weight recorded on the same scale
if it is shifted to the equator ? Use g = GM/R² = 98 m/s*
and the radius of the earth R = 6400 km.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe846b251-51e4-4621-bcc3-1589f4a171f6%2Fe61be80b-180a-4582-b9b4-9128a299b150%2Funy3v6r_processed.jpeg&w=3840&q=75)
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- What is the magnitude of the gravitational acceleration at a height of two earth radius (2RE) above earth surface? Take gravitational acceleration near Earth surface as 9.81 m/s2. Express your answer in m/s2 and enter numerical value only, no unitsScientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.4 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)What is the force of attraction between Mars and the satellite? 2.)What speed should the satellite have to be in a perfectly circular orbit? 3.)How much time does it take the satellite to complete one revolution?A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the spheres are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 mN. What is the mass of the unknown metal?
- Consider a spherical shell constructed from a material of density 6.1 x 103 kg/m3. The inner radius of the shell is 4.9 x 106 m from the center, and the outer radius of the shell is 9.2 x 106 m from the center. Calculate the magnitude of the gravitational field 13.1 x 106 m from the center of the shell, in N/kg. Use G = 6.7 x 10-11 N m2 / kg2. (Please answer to the fourth decimal place - i.e 14.3225)The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force FSM that the sun exerts on the moon is perpendicular to the force FEM that the earth exerts on the moon. The masses are: mass of sun = 1.99 × 10³0 kg, mass of earth = 5.98 × 1024 kg, mass of moon = 7.35 × 1022 kg. The distances shown in the drawing are rsM = 1.50 × 10¹1 m and rEM = 3.85 × 108 m. Determine the magnitude of the net gravitational force on the moon. Number i Sun Units ISM FSM FEM Earth Moon TEMA satellite of mass 500 kg orbits the earth with a period of 6,000 s. The earth has a mass of 5.97 x 1024 kg, a radius of 6.38 x 108 m, and G = 6.67 x 10-11 N - m²/kg². (a) Calculate the magnitude of the earth's gravitational force on the satellite. N (b) Determine the altitude of the satellite above the earth's surface. x 10 m
- A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the sphere are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 nM. What is the mass of the unknown metal?(a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.25 ✕ 1024 kg and its moon, with mass 2.20 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m. ___N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) ___m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) ___m/s2A large spherical gas cloud of radius = 5 x109 km has a mass = 2.4 x1030 kg, and is spinning to make one revolution in 60 years (i.e. Earth years, each of 365 days of 24 hours each). Due to gravity, the cloud gets smaller to a radius = 1.2 x106 km. What will be its period of rotation in minutes?
- Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.50 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m. N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) m/s2There are two spheres each with a mass of 100 kg. If their centers are 100 meters apart, what magnitude of gravitational force does the one sphere exert on the other? The following numerical values may be helpful in this question. G = 6.67 ∙10-11 N∙m2/ kg2 Earth’s mass = 5.98 · 1024 kilograms g = 9.80 m/sec2 1 kilometer = 1000 metersScientists want to place a 4100 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 1.5 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem: mmars = 6.4191 x 1023 kg Imars = 3.397 x 10° m G = 6.67428 x 10-11 N-m²/kg? 1) What is the force of attraction between Mars and the satellite? N Submit 2) What speed should the satellite have to be in a perfectly circular orbit? m/s Submit 3) How much time does it take the satellite to complete one revolution? hrs Submit +) 4) Which of the following quantities would change the speed the satellite needs to orbit at? O the mass of the satellite the mass of the planet O the radius of the orbit Submit 5) What should the radius of the orbit be (measured from the center of Mars), if we want the satellite to take 8 times longer to complete one full revolution of its orbit? m Submit