**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