Calculate the Schwarzschild radius for Jupiter. (mJupiter 1.90 x 1027 kg)
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Calculate the Schwarzschild radius for Jupiter. (mJupiter 1.90 x 1027 kg)
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- Nothing can escape the event horizon of a black hole, not even light. You can think of the event horizon as being the distance from a black hole at which the escape speed is the speed of light, 3.00 ×× 1088 m/sm/s, making all escape impossible. What is the radius of the event horizon for a black hole with a mass 7.5 times the mass of the sun? This distance is called the Schwarzschild radius.?Nothing can escape the event horizon of a black hole, not even light. You can think of the event horizon as being the distance from a black hole at which the escape speed is the speed of light, 3.00×10^8 m/s, making all escape impossible. What is the radius of the event horizon for a black hole with a mass 3.5 times the mass of the sun?A non-rotating black hole has an ‘edge’ at what’s called it’s Schwartzschildradius. For a black hole of mass M, the Schwartzschild radius isRSch = 2GM/(c^2) where G is the gravitational constant and c is the speed of light. Close to black holes, we really should use Einstein’s theory of gravity (General Relativity) instead of Newton’s, but Newton’s is still a good approximation.Using Newtonian Gravity, find the gravitational force on a mass m at theSchwartzschild radius of a black hole. (Your answer for this should look likeFgrav = an expression in terms of G, M, m, c and numbers.) Is the forcesmaller or larger for a more massive black hole?
- The Oort Cloud extends out to (possibly) one light-year from the sun. Objects in the Oort Cloud are still gravitationally bound to the sun. Suppose one such iceball orbits the sun in a circle. I'm going to alter some numbers, such as the mass of the sun and even G. The gravitational force is directed toward the sun and has the following magnitude: Calculate the force on the object if these are the numbers: G = 6.1*10-11 N*m2/kg2 M = 2.7*1030 kg m = 1.5*108 kg r = 19*1015 m Calculate your answer in microNewtons (10-6 N).Please answer the question and subquestions entirely. This is one single question. According to the official guideline, I can ask two subquestions! Thank you! 1) Two point masses are placed 10.0 cm apart and attract each other with a force of 10.0 N. Find the force of gravitational attraction between the masses when they are placed 5.00 cm apart. 3.00 N 4.50 N 20.0 N 40.0 N a) The radius of the orbit of a certain asteroid is four astronomical units. What is the period (in years) of this asteroid? 2 years 4 years 6 years 8 years b) A satellite is orbiting the earth at an altitude where the acceleration due to gravity is 8.70 m/s 2. What is its speed? 2.65 x 103 m/s 7.45 x 103 m/s 7.68 x 103 m/s 7.91 x 103 m/sConsidering both special relativity and gravity, how much does Alice age if Julie ages 1 year?
- I need help with this hw problem.We would like to be able to make meaningful interpretations of variations in the acceleration due to gravity, g, as small as 0.1 mgal. How accurate must our knowledge of the latitude of our gravity stations be? (A “gravity station" is just a location at which you make a gravity measurement.) You can assume your latitude is 45°.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.
- 19A super massive black hole has a mass of 1.9 x 1039kg and a radius of 3 x 1012m. How fast must a rocket travel to escape from the black hole? Conservation of energy.A black hole is an object so massive that not even light can escape, one way to define the size of a black hole is by the Schwarzschild Radius, which is the radius at which the escape velocity is equal to the speed of light. If we were to condense the Earth into a black hole, what would be the size of its Schwarzschild Radius?