Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.1 rev/s. If such a star has a radius of 30 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation? Number Units
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Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.1 rev/s. If such a star has a radius of30 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation? Number Units
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- Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 29.5 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.95 x 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. Additionally, use 5.979 x 1024 kg for Earth's mass and 6.376 x 106 m for Earth's radius. How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)White dwarf stars are produced by the collapse of regular stars, such as our sun, toward the end of their normal life. Suppose a star initially has the same mass as our sun and the same radius as that of the sun. Suppose further that it collapses into a white dwarf with a radius of 5000km. If the initial period of the star is the same 27 day period of our sun, what is the resulting period of the white dwarf?Artificial gravity is a must for any space station if humans are to live there for extended length of time. An effective way to create artificial gravity is using a rotating enclosed cylinder. Humans walk on the inside of the outer edge of the cylinder, which has a diameter of D=3450m that is large enough such that its curvature is not readily noticeable to the inhabitants. Once the space station is rotating at the necessary angular speed w to create an artificial gravity of 1g, how many minutes would it take the space station to make one revolution?
- Kepler-10c is another exoplanet orbiting another star. It has a mass that is approximately 17.0 times the mass of the Earth. It has a radius that is approximately 2.4 times the that of the Earth. Stats for the Earth (Given): MEarth = 6×1024[kg]. REarth = 6.4×106[m]. Question: What is the escape velocity of an object sitting on the surface of Kepler-10c ? Round to the nearest [km/s] 30 [km/s] 24 [km/s] 20 [km/s] 18 [km/s] 16 [km/s] 14 [km/s] 11 [km/s] None of the answers is even close to correctA puck of mass m = 1.10 kg slides in a circle of radius r = 19.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 4.10 kg by a cord through a hole in the table. What speed keeps the cylinder at rest?Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 55 mm. Copper 1.9 R 3.4 R x i+ i j) (108) N R Titanium Answer: F = (i 27° --