20. Determine the force of gravitational attraction on a particle of mass m located in P(0, 0, b) due to a homogeneous cylinder, x^2 + y^2 ≤ a^2 ,0 ≤zsh, whose mass is M. Note that the gravitational interaction force between two particles of masses m_1 and m_2, separated by a distance r, is given by F=G" m1m2 7-2 G=6.66 x 10¹¹ Nm²/kg².
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- H2 plsWhat must the separation be between a 5.2 kg particle and a 2.4 kg particle for their gravitational attraction to have a magnitude of 2.3×10^-12N?Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres are isolated from the rest of the Universe.
- Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres are isolated from the rest of the Universe.Two stars of masses 2M and 5M are separated by a distance D. Determine the distance (measured from 2M) to a point at which the net gravitational force on a third mass would be zero. Question 9 options: 0.35 D 0.39 D 0.45 D 0.27 D 0.12 DNothing 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.?
- One way astrophysicists have identifi ed “extrasolar” planets orbiting distant stars is by observing redshifts or blueshifts in the star’s spectrum due to the fact that he star and planet each revolve around their common center of mass. Consider a star the size of our sun (mass 1.99 x 1030 kg), with a planet the size of Jupiter(1.90 x 1027 kg) in a circular orbit of radius 7.79 x 1011 m and a period of 11.9 years. (a) Find the speed of the star revolving around the system’s center of mass. (b) Assume that Earth is in the planet’s orbital plane, so that at one point in its orbit the star is moving directly toward Earth, and at the opposite point it moves directly away from Earth. How much is 550-nm light redshifted and blueshifted at those two extreme points?2). One of the first docking attempts in space was the Gemini 8 module (m = 3187 kg) with the Agena test craft (m 8200 kg). There was an almost fatal problem during the docking but Neil Armstrong's coolness kept the crew alive e, which is why he got the nod to be in the first landing on the Moon. If the Agena craft is initially not moving and %3! the Gemini 8 module moves in at 1.23 m/s, fails to dock and bounces back at 0.5 m/s, what is the final speed of the Agena test craft?Three uniform spheres of masses m1 = 2.50 kg, m2 = 4.00 kg, and m3 = 7.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres are isolated from the rest of the Universe. in terms of I hat and j hat. ( î + ĵ )x10−11
- ) Several planets possess nearly circular surrounding rings, perhaps composed of material that failed to form a satellite. In addition, many galaxies contain ringlike structures. Consider a homogeneous ring of mass M and radius R. a) What gravitational attraction does it exert on a particle of mass m located a distance x from the center of the ring along its axis? b) Suppose the particle falls from rest as a result of the attraction of the ring of matter. Find an expression for the speed with which it passes through the center of the ring. (a: see notes from class, b: Use the definition of potential energy.)A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 48,300 ly (light-years) from the galactic center and has a speed of 275 km/s. Estimate the total mass of the galaxy based on the motion of the star. Gravitational constant is 6.674×10−11 m3/(kg·s2) and mass of the Sun Ms=1.99 × 1030 kg. dont provide hand written solutionThree uniform spheres of masses m₁ = 3.00 kg, m₂ = 4.00 kg, and m3 = 5.00 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m₂, m2 assuming the spheres are isolated from the rest of the Universe. Î + × 10-11 N y (0, 3.00) m m (-4.00, 0) m 12 Mg F 32 Ο m2 x