If a neutron star has a radius of 10 km and rotates 716 times a second, what is the speed of the surface at the neutron star's equator as a fraction of the speed of light?
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- The Millennium Falcon is approximately 35.2 m long. There are conflicting reports, but the Falcon made the Kessel Run in approximately 12.27 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult or dangerous points to jump between to make the trip so short. Let's imagine that the Millennium Falcon travels at 0.96c during the 12.27 parsec Kessel Run. What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year. X light-year What distance, in light-year, does Han Solo measure for the trip as he pilots the ship? light-year Which person measures the proper distance of the trip? Which person would measure the proper length of the Millennium Falcon?Suppose a lump of ionized matter orbits a black hole with a period of 5.70 ms and an orbital radius of 190 km. What is the mass of the black hole? The mass of the sun is M, 1.99 x 1030 kg. (Give your answer in terms of the solar mass.) s 0.0644Nothing 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.?
- A spacecraft moves at a constant speed between Earth and the center of the Milky Way, 26,000 light years away. According to the ship's passengers, the journey takes 30 years. What is the speed of the ship? Use the formula for gamma γ and express the answer in c.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?The star Epsilon Eridani is 10.4 light-years from Earth. Imagine a spaceship that travels from Earth to Epsilon Eridani at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be (10.4ly/0.921c)= 11.2 years. (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by a passenger aboard the ship? years (b) What is the distance to the star (in light years) as measured by a passenger aboard the ship?
- A square with an edge 8 cm long has an area of (8cm)(8cm) = 64 cm2. What is this area in square meters? Group of answer choices 0.64 square meters 0.0064 square meters 6400 square meters 640,000 square meters Which of the following does NOT correspond to the dimension of length? Group of answer choices fathom yard kilometer parsec angstrom light-year More than one of these is not a unit of length All of these are units of lengthA 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?A cosmic ray particle is released from an exploding star that is 2600 Light Years from Earth. If the particle traveled at 98% the speed of light, how far did it travel in its own frame of reference before hitting Earth?
- How long should it take the voices of astronauts on the Moon to reach the Earth? Assume that the only significant time is the transit time from the Earth to the Moon, at the speed of light. Suppose that the astronaut on the surface of the Moon, the receiver on the surface of the Earth, and the centers of the Earth and the Moon are aligned. The distance between the centers of the Earth and the Moon is 384×103km, the radius of the Earth is 6.38×103km, the radius of the Moon is 1.74×103km.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).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)