In a double star system, the masses of the stars are m, and m₂. They are separated by distance d. The two bodies rotate about their common centre of mass. The ratio of the area swept by the first and second star in equal time interval about their common centre of mass is:
Q: Problem 4: Two manned satellites are approaching one another at a relative speed of 0.27 m/s,…
A:
Q: ole at which the escape speed is the speed of light, 3.00 × 108^8 m/sm/s, making all escape…
A: Given:- A black hole with a mass 7.5 times the mass of the sun. Nothing can escape the event…
Q: A star, which is 1.9 x 1020 m from the center of a galaxy, revolves around that center once every…
A: Distance of the star from center of a galaxy (r) = 1.9 × 1020 mTime taken by the star to revolve…
Q: Center of Mass. b)The mass of the Earth is 6x1024 kg and the mass of the Moon is 7.4x1022kg. The…
A:
Q: The Sun, which is 2.2 * 10^20 m from the centerof the Milky Way galaxy, revolves around that center…
A: Thus,
Q: The mass of the Earth is 5.97 × 1024 kg and the mass of the Sun is 1.99 × 1030 kg. The average…
A:
Q: Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of…
A: The expression to solve for the velocity of the star is as follows: v=2πRTR=vT2π…
Q: When the escape speed from the surface of a spherical object of mass M and radius R is equal to the…
A:
Q: It is believed that there is a black hole with a mass of approximately four million times the mass…
A:
Q: Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of…
A:
Q: Plaskett's binary (also known as HD 47129) in the constellation Monoceros is a star system of two…
A: Given: Orbital speed of the stars = 250 km/sec = 250,000 m/s Period of the star = 14.4 days Suppose…
Q: Observations show that a celestial body traveling at 1.2 × 106 mi/h appears to be describing about…
A:
Q: On Oct 31 2015, massive asteroid TB145 nicknamed "Spooky" passed near the Earth vicinity. The…
A:
Q: (a) The distance between the Earth and the Moon (center to center) is approximately 239,000 miles.…
A: Part-(a) Given data: The distance between the Earth and the Moon is d=239000 miles. The mass of the…
Q: An OSU-branded squishy moon ball has a mass of 25 g and a diameter of 60 mm. Consider two squishy…
A: m=25 g=0.025 kgL=0.5 md=60 mmSince you have posted a question with more than three subparts, we will…
Q: Problem 3 A hollow sphere of mass m and radius R has its center of mass at rest as it spins at a…
A: Mass = mRadius = R
Q: Two stars in a binary system orbit around their center of mass. The centers of the two stars are…
A: The expression for find mass of smaller star is…
Q: A certain triple-star system consists of two stars, each of mass m = 6.7×1030 kg, revolving in the…
A: As force between the orbiting stars is very less than the force between the central star and the…
Q: Planet 1 has mass 3M and radius R, while Planet 2 has mass 4M and radius 2R. They are separated by…
A: Given data: Mass of the planet 1, m1=3M The radius of planet 1,r2=R Mass of the planet 2, m2=4M The…
Q: Answer the question in full details, thank you very much, Answer on the correct significant figures:…
A:
Q: The center of mass of the moon is at an average distance to the center of mass of earth at d=6.00 *…
A: Write the values of the distance between the center of masses of the moon and the Earth, and the…
Q: (a) Determine the total force on the spacecraft. N (b) What is the difference in the gravitational…
A:
Q: Two stars in a binary system orbit around their center of mass. The centers of the two stars are…
A: According to question--- Given data-- X2 = 6.26 × 1011 m. my = 3.86 × 1030 kg. Xcm = 2.21 × 1011 m.…
Q: A star orbits a black hole in a circular orbit at a distance of 3.9x1012 meters and a period of 4…
A:
Q: Stars and black holes in a binary system orbit each other in circular orbits of radius r1 and r2…
A: mass of an orbital m= 1.98x1030 kg v1 =5.36 times faster than our Sun T=30 hours r1=?,r2=?m2=?
Q: NOTE: Your answer suggests that you have assumed constant gravitational
A: Explained as, F=-GMMR+y2
Q: Black holes have three layers: the outer and inner event horizon, and the singularity. The event…
A: Black holes are fascinating and mysterious objects in space. They have three main parts: the outer…
Q: Pluto, unlike the 8 actual planets, has a very eccentric orbit around the sun (MSun = 2.0 ∗1030kg).…
A:
Q: A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1…
A: Given, Length of cylinder = 100 m Its mass with occupants is 1050 kg The distance between the nose…
Q: A. Use the definition of the center of mass to determine the maximum “wobble” velocity of a star of…
A:
Q: An African elephant is walking along when a mini-black hole suddenly appears directly above him. The…
A:
Q: Center of Mass. c) The mass of the Sun is 2x1030 kg. The distance between the Earth and the Sun is…
A: Given, The mass of the sun = 2×1030 kg = M1 The mass of the Earth = 6×1024 kg = M2 Take the center…
Q: Nothing can escape the event horizon of a black hole, not even light. You can think of the event…
A: To determine Schwarzschild radius for a black hole with a mass 7.5 times the mass of the sun.


Step by step
Solved in 2 steps with 1 images

- 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?Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.49x10¹¹ m apart. The larger of the two stars has a mass of 4.15x10³0 kg, and its center is 2.38x10¹¹ m from the system's center of mass. What is the mass of the smaller star?Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star has moves in a circle of radius r1 and has orbital period T. Variations in the brightness of nearby stars suggest that the unseen companion moves in a circle of radius r2 (see the figure). Find the approximate masses (a) m1 of the visible star and (b) m2 of the dark star. Express your answer in terms of r1, r2, T, and G. I asked this question before and recieved an incorrect answer, so I'm asking again.
- Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is V = 240 km/s and the orbital period of each is 12.1 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) solar masses XCM MAs seen in the image provided, a double-star system with stars of equal mass rotate in circular orbits around their mutual center of mass that is halfway between them. One of the stars (α) is bright. The other star (β) is its unseen dark companion. Our line of sight passes through the orbital plane such that once in every period, α approaches head-on, and once ever period it recedes directly away. The same is true for β. Suppose light always moves at speed c relative to the source that emits it (i.e., if v is the orbital speed of each star, light travels toward us at speed c + v from α when it is headed toward us, and at speed c - v when it is headed away from us, as depicted). The double-star system is a distance d away from Earth. How long would take light to get to Earth from α if the light is emitted when α is (i) coming toward us, and (ii) moving away from us?At a particular instant, in a coordinate frame chosen by us, the Earth (mass = 6 x 1024 kg) is at location (-7.30 × 106, -7.80 × 106, 3.73 × 106) m and the Moon (mass = 7 x 10²² kg) is at location (-1.35 × 108, -2.50 × 10³, 2.82 × 108) m. A satellite with mass 5000 kg is at location (-1.18 × 10³, -2.73 × 10³, 3.10 × 108) m. What is the net force on the satellite? Assume that the gravitional force of the Sun is negligible. net = i i !)N
- A star with mass M and radius R collides head-on with another star of mass ¾*M and radius 4/5*R, and they coalesce to form a new start at rest whose radius is 6/5*R. Assume that initially the colliding stars had angular velocities with opposite directions but the same magnitude w. What is the magnitude and direction of the final’s stars angular velocity? (Express the magnitude as a fraction of w.)Answer the question in full details, thank you very much: A star of mass 1.87 x 10^31 kg and diameter 9.44 x 10^9 m rotates with a period of 26.0 days. Suddenly, the star changes size and rotates with a new period of 19.0 days. The mass of the star is conserved. Assuming a uniform (but different) density both before and after the size change, by what fraction doesits [diameter change? In other words, what is (new diameter)/(old diameter)?Let's say we have a M1 and M2. Let's just say. Let's examine this hypothetical situation. The first mass would be 1.50 kg and the second mass would be 2.00 kg. These two masses would then be separated by a length or we should say a distance of this L = 2.50 m. Let's say we want to place a third mass (immaterial mass) in the middle of the two masses, such that there would be no net force. Find this specific place where this would occur, and to make it easy, find the distance from the first mass towards this third mass
- CM-2 A water molecule consists of an oxygen atom with y a mass of 16.0u (u is one atomic mass unit) and two hydrogen atoms, each with a mass of 1.00u. The distance of each hydrogen atom from the center of the oxygen atom is 0.100nm (n=10"). The angle between the hydrogen atoms is 106°. Suppose that a coordinate system is used such that the x axis splits the angle between the two hydrogen atoms as shown to the right. a) Find the y coordinate of the center of mass of the water molecule. b) Find the x coordinate in nm of the center of mass of the water molecule. 0.100nm, 53.0° 53.0° 0.100nm 梦 0 hpTwo manned satellites approaching one another, at a relative speed of 0.200 m/s, intending to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. a. Calculate the final velocity (after docking) in m/s by using the frame of reference in which the first satellite was originally at rest. (Assume the second satellite moves in the positive direction. Include the sign of the value in your answer.) m/s b. What is the loss of kinetic energy (in J) in this inelastic collision? J c. Repeat both parts by using the frame of reference in which the second satellite was originally at rest. final velocity (m/s) m/sloss of kinetic energy (J) J Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.A binary-star system contains a visible star and a black hole moving around their center of mass in circular orbits with radii r1 and r2 , respectively. The visible star has an orbital speed of v=5.36x105 ms-1 and a mass of m1 =5Ms ,where Ms= 1.98x1030kg is the mass of our Sun. Moreover, the orbital period of the visible star is T = 30 hours.(a) What is the radius r1 of the orbit of the visible star?(b) Calculate the mass m2 of the black hole in terms of MS . [Hint: One root of the equation x3 = 20a(5a+x)2 , where a is a constant, is x = 28a .]