Consider a pulsar, a collapsed star of extremely high density, with a mass M equal to that of the Sun (1.98 * 10^30 kg), a radius R of only 12 km, and a rotational period T of 0.041 s. By what percentage does the free-fall acceleration g differ from the gravitational acceleration ag at the equator of this spherical star?

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 typical neutron star may have a mass equal to that of the Sun but a radius of only 19 km. (a) What…

A: radius = 19 km mass of neutron star = mass of sun mass of neutron star = 1.99×1030 kg

Q: Consider a neutron star with a mass equal to the sun, a radius of 18 km, and a rotation period of…

A: Given: M=Ms=1.99*1030 kgR=18 km=18000 mperiod T = 1.0s

Q: A body revolves around a star of mass M along an elliptic orbit. At the moment when its distance to…

A: Let e be defined as the eccentricity of the orbit. Therefore, v=GM1+er-v2=GM1+er-v2rGM-1=e Here, v…

Q: The earth has a mass M = 5.972E24 kg and radius R = 6372km. Suppose your friend wanted to throw a…

A:

Q: While standing on the surface of a spherical asteriod of mass M and radius R., and astronaut thows a…

A: Mass of asteroid=MRadius=RMaximum height=h

Q: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from…

A: Given data R = 4.1 ×10^7 m M = 8.6×10^24 kg Magnitude of the centripetal acceleration = ? Speed of V…

Q: Hunting a black hole. Observations of the light from a certain star indicate that it is part of a…

A: Given: v = 270km/s T = 15days m1 = 5.7Ms

Q: The star closest to the Sun is called Proxima Centauri. Proxima Centauri has a radius of 101,000 km…

A: Let the proxima centauri is 2.45x1029 kg, and the radius is 101000 km. The expression for…

Q: The figure below shows a person in a canoe on a lake. The person's mass is 83 kg, and the canoe's is…

A:

Q: C6M.9 Astar with mass M and radius R collides with another star of massM and radius R, and coalesce…

A: Given information:Mass of star “A” (Ma) = MRadius of star A (Ra) = RAngular velocity of star A =…

Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…

A:

Q: Consider a pulsar, a collapsed star of extremely high density, with a mass M equal to that of the…

A:

Q: Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of…

A: v = 200 kmsT = 11.5 days Let the radius of orbital path followed = R

Q: Hunting a black hole. Observations of the light from a certain star indicate that it is part of a…

A: Given: Let the visible start be star-1 then data given for this stars are: Orbital speed v1 = 270…

Q: Two stars M, and M, of equal mass make up a binary star system. They move in a circular orbit that…

A: Given, Mass of both star is,  M1=M2= 1.45×solar mass=1.45×1.99×1030 kg Orbital time period of each…

Q: A typical neutron star may have a mass equal to that of the Sun (m = 1.99x1030kg) but a radius of…

A: Given: The mass of sun is m=1.99 x1030 kg. The radius is R=10 km. The distance of object on star is…

Q: Consider a pulsar, a collapsed star of extremely high density, with a mass M equal to that of the…

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: The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that…

A: Given, Rh = 2GM/c2 a. Gravitational acceleration is given byag=Gmr2dag=2Gmr3drSince, h<<48…

Q: A particle of mass m is placed at a distance r away from the center of a thin circular hoop of mass…

A: Given, mass as, m1=Mm2 =m radius=R, distance=r.

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.

Q: One way astrophysicists have identifi ed “extrasolar” planets orbiting distant stars is by observing…

A: Part (a) Given: The mass of star is ms=1.99×1030 kg. The mass of planet is mp=1.90×1027 kg. The…

Q: Hunting a black hole. Observations of the light from a certain star indicate that it is part of a…

A: Given:v = 280km/sT = 22.5daysm1 = 6.2Ms

Q: Applying Newton's second law, f = ma yields F = ma. for each star. Mv2 (2r)2 GMM Solving for the…

A: Since, You have only asked bout the calculation part M=2v3TπG Here, "v" is the velocity that is…

Q: Hunting a black hole. Observations of the light from a certain star indicate that it is part of a…

A: Given: v = 270km/s T = 15days m1 = 5.7Ms

Q: The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that…

A: The expression for the gravitational acceleration if given as, ag=-GMr2⇒daa=2GMr3dr Since h≪48…

Q: A massive black hole is believed to exist at the center of our galaxy (and most other spiral…

A:

Q: Two stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that…

A: According to the Kepler’s third law, T2=4π2GMa3

Q: One of your summer lunar space camp activities is to launch a 1130 kg rocket from the surface of the…

A: Mass of object is The altitude is Mass of moon is Radius of moon is Note:Universal gravitational…

Q: Suppose a lump of ionized matter orbits a black hole with a period of 3.50 ms and an orbital radius…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A typical neutron star may have a mass equal to that of the Sun (m =1.99x10 30 kg) but a radius of…

A: a) Let the radius of the star be R and the mass of the star be m. In this case, R = 10×103 m m =…

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.