lease see attachment for full question. I would like some assistance with the approach for this. The Schwarzschild radius ?BH for an object of mass ? is defined as   ?BH=2???2 where ? is the speed of light and ? is the universal gravitational constant. ?BH gives the radius of the event horizon of a black hole with mass ?. In other words, it gives the radius to which some amount of mass ? would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99×1030 kg. What would

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Chapter13: Gravitation
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Problem 13.11CYU: Check Your Understanding Consider the density required to make Earth a black hole compared to that...
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Please see attachment for full question. I would like some assistance with the approach for this.

The Schwarzschild radius ?BH for an object of mass ? is defined as

 

?BH=2???2

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

The mass of the Sun is about 1.99×1030 kg. What would be the radius of a black hole with this mass?
The Schwarzschild radius RBHfor an object of mass M is defined as
2GM
RBH=
where c is the speed of light and G is the universal gravitational constant. RBHgives 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.
The mass of the Sun is about 1.99 × 1030kg. What would be the radius of a black hole with this mass?
RBH=
m
The mass of the Moon is about 7.35 x 1022kg. What would be the radius of a black hole with this mass?
RBH=
m
Suppose you want to make a black hole that is roughly the size of an atom (take RBH= 1.10 × 10¬1m). What would be the
mass M of such a black hole?
M =
kg
Transcribed Image Text:The Schwarzschild radius RBHfor an object of mass M is defined as 2GM RBH= where c is the speed of light and G is the universal gravitational constant. RBHgives 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. The mass of the Sun is about 1.99 × 1030kg. What would be the radius of a black hole with this mass? RBH= m The mass of the Moon is about 7.35 x 1022kg. What would be the radius of a black hole with this mass? RBH= m Suppose you want to make a black hole that is roughly the size of an atom (take RBH= 1.10 × 10¬1m). What would be the mass M of such a black hole? M = kg
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