What is the Schwarzschild radius of a 3 kg rabbit? Hint – find the mass of...

What is the Schwarzschild radius of a 3 kg rabbit? Hint – find the mass of the rabbit in solar mass units first. 1 solar mass = 1.99 X 1030 kg

Solutions

Expert Solution

Schwarzschild radius or gravitational radius is a physical parameter corresponding to the radius defining the event horizon of a Schwarzschild black hole. In other words it is the radius below which the gravitational attraction between the particles of a body must casue it to undergo irreversible gravitational collapse.

The Schwarzschild (Rg) radius of a body of mass M is given by,

Where,

G is the universal gravitational constant = 6.67x10-11 Nm2/kg2

M is the mass of the body=3kg (as given in the question)

c is the velocity of light = 3x108 m/s

= 4.4467x10-27 m (Ans.)

If mass is to be used in terms of Solar mass, then also the equation remains the same, but final value differs,

Given,

1 solar mass = 1.99 X 1030 kg

therefore, mass of rabbit, M = 3kg =1.5x10-30 kg

= 2.2233x10-57 m (Ans.)

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?

A disk with a c value of 1/2, a mass of 3 kg, and radius of...

A disk with a c value of 1/2, a mass of 3 kg, and radius of 0.29 meters, rolls without slipping down an incline with has a length of 6 meters and angle of 30 degrees. At the top of the incline the disk is spinning at 28 rad/s. How fast is the disk moving (the center of mass) at the bottom of the incline in m/s?

3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to...

3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an angular velocity 10.0 rad/s. The sphere is dropped from a low height onto a flat platform of mass 5.00 kg. The sphere begins to skid and move along the platform until it rolls without slipping. The coefficient of kinetic friction between the sphere and the platform is 0.70. The coefficient of friction between the platform and the ground is 0.05, and the platform...

A truck with a total mass of 1.72 * 10^3 kg has wheels of radius 33.0...

A truck with a total mass of 1.72 * 10^3 kg has wheels of radius 33.0 cm and moment inertia of 0.800kg-m^2. Find the trucks (a) translational energy and (b) rotational energy when the truck is moving at a speed of 25.0 m/s Show All Your Work

Titan has a radius of 2500.0 km and a mass of 1.1 × 1023 kg. What...

Titan has a radius of 2500.0 km and a mass of 1.1 × 1023 kg. What is the escape velocity in km/s from Titan's exosphere, which begins at about 1400 km above the surface? The gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2.

A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09...

A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09 kg attached at the edge is rotating at 1.8 rev/s. The small mass suddenly flies off of the disk. What is the disk's final rotation rate (in rev/s)?

A block of mass 2 kg and a block of mass 3 kg are sliding on...

A block of mass 2 kg and a block of mass 3 kg are sliding on a frictionless surface. They collide and stick together. Before the collision the first block was travelling at 5 m/s in the positive x direction. After the collision the two blocks are travelling at 6 m/s in the negative x direction. What was the x component of the velocity of the second block before the collision?

The mass of Earth is 5.972 * 1024 kg, and the radius of Earth is 6,371...

The mass of Earth is 5.972 * 1024 kg, and the radius of Earth is 6,371 km. The mass of the moon is 7.348 * 1022 kg, and the radius of the moon is 1,737 km. The centers of the Earth and the moon are separated by 384,400 km. (3A) What is the magnitude of the gravitational acceleration (in m/s2) due to the moon at the near-side surface of Earth? (Hint: The correct answer is between 0.000001 and 5). (3B)...

a 4.00 kg mass is moving in a circular path of radius 3.20 m with a...

a 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.29 m/s. The radial force on the mass is

A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls...

A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls such that the center of mass of the wheel has a velocity of 10 m/s. a) Calculate the angular velocity of the wheel. b) Calculate the translational kinetic energy of the wheel. c) Calculate the rotational kinetic energy of the wheel. d) Calculate the total kinetic energy of the wheel by summing the two kinetic energies

Subjects