Question
Two stars are 1.3times 10^3 m apart. Each star has a mass of 3.8times 10^15 kg. What is the gravitational attractive force between them? 569times 10^14 8.54times 10^24 9.99times 10^37 1.1times 10^28
Solution
4.2
(207 Votes)
Sofia
Master ยท Tutor for 5 years
Answer
To find the gravitational attractive force between the two stars, we can use Newton's law of universal gravitation, which is given by the formula:
where:-
is the gravitational force,-
is the gravitational constant, approximately
,-
and
are the masses of the two objects,-
is the distance between the centers of the two objects.Given:-
,-
.Substitute these values into the formula:
First, calculate the numerator:
Now, calculate the denominator:
Now, divide the results:
The closest option to this result is
, which simplifies to
.Therefore, the gravitational attractive force between the two stars is approximately
.