The Schwarzschild radius RBH for an object of mass M is defined as(See image.)where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole. 1. The mass of the Sun is about 1.99 × 1030 kg. What would be the radius of a black hole with this mass? 2. The mass of Mars is about 6.42 × 1023 kg. What would be the radius of a black hole with this mass? 3. Suppose you want to make a black hole that is roughly the size of an atom (take RBH = 1.10 x 10-10 m). What would be the mass M of such a black hole? The mass of Mars is about 6.42 × 10²3 kg. What would be the radius of a black hole with this mass?RBH=Suppose you want to make a black hole that is roughly the size of an atom (take RBH 1.10 × 10-¹0 m). What would be themass M of such a black hole?M =mkg The Schwarzschild radius RBH for an object of mass M is defined asRBHRBH-where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a blackhole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in orderto form a black hole.2GMc²The mass of the Sun is about 1.99 × 10³0 kg. What would be the radius of a black hole with this mass?=m

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University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 65P: Using data from Potential Energy of a System...

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The Schwarzschild radius R_BH for an object of mass M is defined as

(See image.)

where c is the speed of light and G is the universal gravitational constant. R_BH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole.

1. The mass of the Sun is about 1.99 × 10³⁰ kg. What would be the radius of a black hole with this mass?

2. The mass of Mars is about 6.42 × 10²³ kg. What would be the radius of a black hole with this mass?

3. Suppose you want to make a black hole that is roughly the size of an atom (take R_BH= 1.10 x 10^-10m). What would be the mass M of such a black hole?

The mass of Mars is about 6.42 × 10²3 kg. What would be the radius of a black hole with this mass?
RBH
=
Suppose you want to make a black hole that is roughly the size of an atom (take RBH 1.10 × 10-¹0 m). What would be the
mass M of such a black hole?
M =
m
kg

The Schwarzschild radius RBH for an object of mass M is defined as
RBH
RBH
-
where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black
hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order
to form a black hole.
2GM
c²
The mass of the Sun is about 1.99 × 10³0 kg. What would be the radius of a black hole with this mass?
=
m

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