Bataglay From Wikipedia: "Various sources state the first Death Star has a diameter of approximately 140 kilometers." A) In order to stand on the surface of the Death Star and experience the familiar gravitational acceleration of g = 9.8 m/s², what is the required mass of the Death Star? Calculate the density as well (yikes!) B) An escape pod is now launched from the surface of the Death Star at speed v₁ = 760 m/s. How fast is the pod moving when it reaches a distance of 130 km from the center of the Death Star?

Bataglay From Wikipedia: "Various sources state the first Death Star has a diameter of approximately 140 kilometers." A) In order to stand on the surface of the Death Star and experience the familiar gravitational acceleration of g = 9.8 m/s², what is the required mass of the Death Star? Calculate the density as well (yikes!) B) An escape pod is now launched from the surface of the Death Star at speed v₁ = 760 m/s. How fast is the pod moving when it reaches a distance of 130 km from the center of the Death Star?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A space probe of mass 3.9 x 103 kg is orbiting a star of mass 3.6 x 1030 kg in a circular orbit at a distance of 1.7 x 1011 m from its center. Calculate the minimum energy, in units of 109 J, required to transfer the probe to a circular orbit 5.5 x 1011 m from the star. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)
Consider the observation that the acceleration due to the gravitational force acting on a mass around a host planet decreases with the square of the separation between the objects. We can ask ourselves: why is it still accurate to consider a gravitational acceleration value of 9.8\frac{m}{s^2}9.8s2m for all of our projectile motion problems and all of our gravitational potential energy from prior modules? Let's analyze a situation and justify this analysis method: consider an object being launched from ground level to an altitude of 10,000 meters, roughly the cruising altitude of most jet liners, and far above our everyday experiences on Earth's surface. Compare the gravitational acceleration of the object at Earth's surface (the radius of Earth is about r_E=6.37\times10^6mrE=6.37×106m) to the acceleration value at the 10,000 meter altitude by determining the following ratio: g10,000m/gsurface
Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 km. How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, mE=5.96×1024kg)
Black holes are difficult to observewith telescopes because they, bydefinition, don’t emit or reflect any light. They can be found by look-ing for other nearby objects orbit-ing them, however. Here is a dia-gram of a star in a circular orbit around a black hole. a. The period of the star’s orbit is 90 days, and its orbital radius around the black hole isobserved to be 3.6 : ×10^11 m. Find the orbital velocity of the star in units of m/s. (You need to convert 90 days to seconds, first). The circumference of a circle is 2πr. b. The mass of the star is known to be 4 × 10^30 kg. Find the centripetal acceleration of thestar and the strength of the gravitational force on the star. c. Find the mass of the black hole.
The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.
A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. (a) One of these stars is believed to be in an approximātely circular orbit with a radius of about 1.50 x 10° AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting. kg (b) What is the speed of this star? V star m/s How does it compare with the speed of the Earth in its orbit? V star VEarth How does it compare with the speed of light? V star
(Astronomy) Black Hole Gravity II. If a person was falling feet first into a 10-solar-mass black hole and his feet were at the Schwarzschild radius, what is the gravitational acceleration at his head? Assume the person is 2 m tall. Express your answer in units of m/s2. Assume gravitational acceleration is g=GM/r^2
Two planets orbit a star in circular orbits, as shown. The mass of the star is 8 * 101 kg. The mass of planet 1 is 8 * 10ª kg. The orbital radius of planet 2 is 2 x 1o1ºm. When the planets are in the configuration shown F=(-9.34 * 1024 i + 1.28 * 1027 j) N. X- a. What is the orbital radius of planet 1? b. What is the mass of planet 2? c. What is the orbital period of planet 2?
A typical neutron star may have a mass equal to that of the Sun but a radius of only 14 km. (a) What is the gravitational acceleration at the surface of such a star? (Enter the magnitude.) m/s2 (b) How fast would an object be moving if it fell from rest through a distance of 1.9 m on such a star? (Assume the star does not rotate.) m/s
Black Hole Gravity III. If a person is falling feet first into a black hole, her feet are at the Schwarzschild radius, and her head is outside the radius by an additional 2 m, what is the approximate ratio of the gravitational acceleration felt at her feet compared to the gravitational acceleration felt at her head? Would she be stretched and squished differently at her head and feet? Assume the gravitational acceleration is g = GM⁄r2.
(D Page view A Read aloud V Draw y Highlight Erase
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 5.1✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar masses