The mean diameters of planets A and B are 9.1 × 103 km and 1.4 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.74. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?
Using whatever means you wish (Excel, MatLab, IDL, python, abacus...) make up a spreadsheet of data for all 8 planets plus Pluto with the following information for each planet: Distance from Sun (in AU), Radius of the planet (in km), Mass of the planet (in 10^24 kg) and then calculate from these data (a) gravitational acceleration (m/s^2) at the surface (or 1 bar level for gas giants) of each planet; (b) escape speed (km/s) for each planet.
A black hole has an event horizon radius of 4.00×103 m . A) What is its mass? B) Determine the gravitational acceleration it produces at a distance of 4.01×103 m from its center. C) Determine the escape speed at a distance of 4.01×103 m from its center.
Gravitational Fields: a) What is the escape velocity for a stationary object (of mass 100 kg) from a planet if an object dropped on its surface falls 5m in 1.4 seconds. (diameter of planet is 12,000 km) b) What is the objects velocity at a distance of 60, 000 km if the velocity is 1.2 times the escape velocity? Please show and explain as much work as possible. Thank you!
Gravitational Fields: a) What is the escape velocity for a stationary object (of mass 100 kg) from a planet if an object dropped on its surface falls 5m in 1.4 seconds. (diameter of planet is 12,000 km) b) What is the objects velocity at a distance of 60, 000 km if the velocity is 1.2 times the escape velocity? Please show and explain as much work as possible. Thank you!
Suppose that you have a planet in a circular orbit about a star with the mass of the Sun. The orbital speed is 141 km/s. If you could increase the planet’s speed, what speed would you need to make it to escape the gravitational pull of its parent star?
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A distant star named α of mass M 1031 kg and radius 108 m has only 2 small planets named X and Y and none others. The two planets have circular orbits with periods T and 9T, respectively, where T- 3.14159 x 107s. What is the radius of the inner planet's orbit rx? What is the radius of the outer planet's orbit ry? If the orbital velocity of planet Y is 2540...
Planet Z is 8000 km in diameter. The free-fall acceleration on Planet Z is 9.00 m/s2 . a) What is the mass of Planet Z? b) What is the free-fall acceleration 1.00×104 km above Planet Z's north pole?
What is the escape speed on a spherical asteroid whose radius is 387 km and whose gravitational acceleration at the surface is 0.595 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 568 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 2376 km above the surface?
Planet Z is 1.03×104 km in diameter. The free-fall acceleration on the surface of Planet Z is 5.30 m/s2 . Part A What is the mass of Planet Z? Part B What is the free-fall acceleration 1.00×104 kmabove Planet Z's north pole?
12. A hypothetical planet's radius is 6500 km and its' surface gravity is 10.0 m/s2. a. What is the escape velocity on the hypothetical planet? b. What is the mass of this planet? c. What is the average density of this planet? d. How high will a particle rise off of the planet's surface if it leaves the surface of the planet with a vertical velocity of 3000 m/s?