Neglecting the mass of the first satellite of Jupiter, calculate the mass of that planet in...
Neglecting the mass of the first satellite of Jupiter, calculate the mass of that planet in terms of Earth's mass using only the following:
The radius of Earth: 3,900 mi
Earth's gravitational acceleration: 32.2 ft/s^2
Period f the first satellite: 1 d, 18 h, 28 min
Mean distance of the first satellite from Jupiter's center: 267,000 mi
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Neglecting the mass of the first satellite of Jupiter,
calculate the mass of that planet in...
Acceleration due to gravity on board of your spaceship that orbits Jupiter is 25.89 m/s. How...
Acceleration due to gravity on board of your spaceship that orbits Jupiter is 25.89 m/s. How high is your spaceship above Jupiter's cloud tops? Express your answer in kilometers and round it to the nearest integer. M Jupiter = 1.90 x 104 kg; R Jupiter = 69,911 km. Your cosmic journey brought you into the vicinity of a neutron star. In fact, you are orbiting this neutron star at an orbital distance of 22.424 kilometers. The neutron star has mass...
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1) The planet Jupiter has a satellite, Io, which travels in an orbit of radius 4.220×108 m with a period of 1.77 days. Calculate the mass of Jupiter from this information. 2) The masses and coordinates of three spheres are as follows: 14 kg, x = 0.75 m, y = 1.50 m; 36 kg, x = -1.25 m, y = -3.00 m; 62 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on...
The planet shown has a mass of M, and the satellite is in a circular orbit...
The planet shown has a mass of M, and the satellite is in a circular orbit of radius r. a) In terms of M, r, and the universal gravitational constant G, what is the period Tof the satellite? Derive the formula. b) By what factor would the period change if the mass of the planet doubled? c) By what factor would the period change if the radius of the orbit doubled?
Problem 3 The planet shown has a mass of M, and the satellite is in a...
Problem 3 The planet shown has a mass of M, and the satellite is in a circular orbit of radius r a) In terms of M, r, and the universal gravitational constant G, what is the period T of the satellite? Derive the formula b) By what factor would the period change if the mass of the planet doubled? c) By what factor would the period change if the radius of the orbit doubled?
(a) Calculate the magnitude of the gravitational force exerted on a 424-kg satellite that is a...
(a) Calculate the magnitude of the gravitational force exerted on a 424-kg satellite that is a distance of 1.66 earth radii from the center of the earth. (b) What is the magnitude of the gravitational force exerted on the earth by the satellite? (c) Determine the magnitude of the satellite's acceleration. (d) What is the magnitude of the earth's acceleration?
A planet has a gravitational acceleration on its surface of 0.5 times Earth's gravitational acceleration on...
A planet has a gravitational acceleration on its surface of 0.5 times Earth's gravitational acceleration on its surface. The planet's radius is two times Earth's radius. What is the mass of the planet, in terms of Earth masses, ME? Hint: Write equations for the gravitational acceleration on the surface of the planet and on Earth's surface in terms of their respective masses and radii. Then write the relationships between Earth's and the planet's gravitational accelerations, and between the Earth's and...
(a) Calculate the magnitude of the gravitational force exerted on a 1,412-kg satellite that is a...
(a) Calculate the magnitude of the gravitational force exerted on a 1,412-kg satellite that is a distance of two earth radii from the center of the earth. ________ N (b) What is the magnitude of the gravitational force exerted on the earth by the satellite? __________ N (c) Determine the magnitude of the satellite's acceleration. _______ m/s2 (d) What is the magnitude of the earth's acceleration? _______ ms2
A comet is deflected by the planet Jupiter into an orbit that puts it on a...
A comet is deflected by the planet Jupiter into an orbit that puts it on a collision course with Earth. When the comet is 2.00 x 10km from Earth, it is headed directly toward Earth with a speed of 30.0 km/s. What will be the speed of the comet just before it hits Earth's atmosphere at a distance of 6.40 x 10 km from the center of the Earth? The mass of Earth is 5.97 x 10 kg. (a) 31.9...
Suppose a satellite was orbiting the Earth just above the surface. What is its centripetal acceleration?...
Suppose a satellite was orbiting the Earth just above the surface. What is its centripetal acceleration? Smaller thang Equal to 3 Larger than Impossible to say without knowing the mass A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of the acceleration due to gravity at the Earth? The acceleration of gravity on the Moon is...
A satellite m = 500 kg orbits the earth at a distance d = 218 km,...
A satellite m = 500 kg orbits the earth at a distance d = 218 km, above the surface of the planet. The radius of the earth is re = 6.38 × 106 m and the gravitational constant G = 6.67 × 10-11 N m2/kg2 and the Earth's mass is me = 5.98 × 1024 kg. What is the speed of the satellite in m/s?
Acceleration due to gravity on board of your spaceship that orbits Jupiter is 25.89 m/s. How high is your spaceship above Jupiter's cloud tops? Express your answer in kilometers and round it to the nearest integer. M Jupiter = 1.90 x 104 kg; R Jupiter = 69,911 km. Your cosmic journey brought you into the vicinity of a neutron star. In fact, you are orbiting this neutron star at an orbital distance of 22.424 kilometers. The neutron star has mass...
Problem 3 The planet shown has a mass of M, and the satellite is in a circular orbit of radius r a) In terms of M, r, and the universal gravitational constant G, what is the period T of the satellite? Derive the formula b) By what factor would the period change if the mass of the planet doubled? c) By what factor would the period change if the radius of the orbit doubled?
A comet is deflected by the planet Jupiter into an orbit that puts it on a collision course with Earth. When the comet is 2.00 x 10km from Earth, it is headed directly toward Earth with a speed of 30.0 km/s. What will be the speed of the comet just before it hits Earth's atmosphere at a distance of 6.40 x 10 km from the center of the Earth? The mass of Earth is 5.97 x 10 kg. (a) 31.9...
Suppose a satellite was orbiting the Earth just above the surface. What is its centripetal acceleration? Smaller thang Equal to 3 Larger than Impossible to say without knowing the mass A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of the acceleration due to gravity at the Earth? The acceleration of gravity on the Moon is...
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