The Sun orbits around the center of the Milky Way on a circular orbit with a radius of 8 kpc, and at a speed of about 200 km/s. Suppose that the gravitational field of the Milky Way is dominated by a spherical dark matter halo. What is the mass of the halo within the radius of the solar orbit?

Q: How was the existence of gravitational waves first shown? (b) Which detectors exist around the…

A: Part a: The discovery of the binary pulsar system PSR B1913+16 by Hulse and Taylor and the…

Q: Imagine a very massive black hole with a small planet in orbit about it. The planet, has an orbital…

A: Time period (T) = 9.7 days = 9.7×24×60×60 seconds = 838080 seconds Orbital radius (R) = 5.97×108 m…

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: density to be 5650kg/m³. (a) What must the muzzle velocity for the projectile to escape the planet's…

A: we are finding Mass first ,then we calculate the part a question :

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: Part A A star with the mass (M = 2.0 × 1030 kg) and size (R = 3.5 x 10³ m) of our sun rotates once…

A: Angular momentum is a vector quantity that means it has both magnitudes as well as direction to it.…

Q: Goku's birthplace (in Dragon Ball Z universe) is planet Vegeta which has a really high surface…

A:

Q: The most mass of our Milky Way is contained in an inner region close to the core with radius Ro.…

A:

Q: The most mass of our Milky Way is contained in an inner region close to the core with radius Ro.…

A: Given, The radius of the inner region close to the core =  R0 As we know that, ρ(r)={ρ0,r≤R0…

Q: It is believed that there is a black hole with a mass of approximately four million times the mass…

A:

Q: You send a probe to orbit Mercury at 192 km above the surface. What orbital velocity (in km/s) is…

A:

Q: Q. 16: If the velocity of the electron in its first orbit of hydrogen atoms 2.1 x 106 m/s then its…

A: To find-Velocity of electron in 3rd orbit is=?Given-Velocity of orbit in first orbit is 2.1×106 m/s

Q: The Andromeda Galaxy has a mass of around 4 x 10* 42 kg and is 2.4 x 10*22 m away. What is your…

A: Given data: Mass of galaxy (M) = 4×1042 kg Distance from centre of mass (r) = 2.4×1022 m

Q: Compact objects and black-holes 2. Consider three compact objects in the form of: a white dwarf of…

A: Hence the answer..

Q: What size would you have to squeeze Jupiter down to in order to turn it into a black hole? Use a…

A: The mass of the Jupiter is M=1.898×1027 kg. Assume the speed of the light as c=3×108 m/s. Assume the…

Q: An astronaut of length 1.7 m is falling into a black hole of mass equals to 1000 times the mass of…

A: We have to calculate first expression of acceleration due to the black hole. Then find rate of…

Q: When the planet Saturn is furthest from Earth it is 1,37 x 1012 m away. The planet Saturn has a mass…

A: Write a given values of this question.

Q: If the Sun were to collapse into a black hole, the point of no return for an investigator would be…

A: The gravitational force of attraction between two massive bodies is given by, F = GMmr2 where G is…

Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…

A:

Q: In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass…

A:

Q: A star with the mass (m=2.0×10^30kg) and size (R=3.5×10^8m) of our sun rotates once every 35.0 days.…

A:

Q: n 1999, scientists discovered a new class of black holes with masses 100 to 10000 times the mass of…

A: The radius of sun is The average density of sun is The diameter of the moon is The mass of the black…

Q: We know that we can use Kepler's Laws to determine the orbits objects around one another. We also…

A:

Q: In 1999 scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of…

A: The mass of black hole,

Q: As mentioned in class, the methods used to determine the electric field can also be used to…

A:

Q: During most of its lifetime, a star maintains an equilibrium size in which the inward force of…

A: Angular momentum is a vector quantity that means it has both magnitudes as well as direction to it.…

Q: A star with the mass (M 2.0 x 100 kg) and size (R - 3.5 x 108 m) of our sun rotates once every 31.0…

A: Given,Mass of the star, m = 2×1030 kgRadius, R = 3.5×108 mSun rotates every 31 daysRadio pulse…

Q: A star with mass m = 2.624 x 1030 kg revolves around the center of mass of the Milky Way galaxy in…

A: Given, Radius of orbit is 3.7*1020 meter and velocity is 400,000 m/s

Q: (a) Determine the total force on the spacecraft. N (b) What is the difference in the gravitational…

A:

Q: Let G denote the universal gravitational constant and let M and m denote masses a distance r apart.…

A: we know the formula of law of universal gravitational constant isF = G M mr2

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: Captain James T. Kirk of Star Trek fame spent a large portion of his time mining for planets that…

A: The radius of the planet=rThe period of the orbit=TMass of ship=mThe minimum distance of his ship…

Q: The two stars Sirius A and Sirius B orbit their commoncenter of mass. Sirius A has a mass of 4.12 ×…

A: Step 1:first we have to take reference and draw the two mass about to the reference point. Step…

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: An African elephant is walking along when a mini-black hole suddenly appears directly above him. The…

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Q: Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the…

A: This is a concept of resultant force.

Q: mass of the black hole? The mass of the sun is M, = 1.99 x 1050 kg. (Give your answer in terms of…

A:

Q: Nothing can escape the event horizon of a black hole, not even light. You can think of the event…

A: Schwarzschild radius, also known as gravitational radius, the radius beneath which the gravitational…

Q: A non-rotating black hole has an ‘edge’ at what’s called it’s Schwartzschild radius. For a black…

A: Blackhole is a celestial body that has a gravitational field so strong that it doesn't even allow…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.