Complete Question
The complete question is shown on the first uploaded image
Answer:
a) the mass of the star Alpha is =
b) the mass of the star Beta is =
c) the radius of the orbit of the orange star =
d) the radius of the orbit of the black hole
e) the orbital speed of the orange star
f) the orbital speed of the black hole
Explanation:
The generally formula for orbital speed is given as
where v is the orbital speed
R is the radius of the star
T is the orbital period
From the question we are given that
alpha star has an orbital speed of
beta star has an orbital speed of
the orbital period is 1 day is equal 86400 seconds
Making R the subject of formula we have for the radius of the alpha star as
for the radius of the Beta star as
Looking at the value obtained for
Generally the moment about the center of the mass are equal then
Thus
Generally the formula for the orbital period is given as
Then
Where G is the gravitational constant given as
Thus solving (1) and (2) equations
Mass of alpha star is
and the Mass of Beta is
Considering the equation
Making the subject
and considering this equation from above
we have that
Considering Question C
Let the Orange star be denoted by (0) and
Let the black-hole be denoted by (B)
And we are told from the question that
Mass of orange star and
Mass of black hole
And mass of sun is
Then
We are also given that the period is
Considering equation 3
Thus for V616 Monocerotis,
Considering equation 4
The black-hole is
From the formula for velocity of
the velocity of