What are three elements that are in the same group
1 answer:
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a) The mass of the black hole is
b) The black hole is 5 times more massive than the sun
Explanation:
a)
The magnitude of the gravitational force between the black hole and the star is:
where :
is the gravitational constant
m is the mass of the star
M is the mass of the black hole
r is the separation between the objects
According to Newton's second law, the force acting on the star can be also written as
where a is the acceleration
Combining the two equations,
where:
is the distance between the two objects
is the acceleration of the star
Solving for M, we find the mass of the black hole:
b)
The mass of the Sun is:
while the mass of the black hole in this problem is
Therefore, the mass of the black hole written in terms of the solar mass is:
So, the black hole is 5 times more massive than the sun.
Learn more about gravitational force:
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