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 altractive force between them? h FSEtimes 10^14 8.54times 10^24 9.99times 10^37 1.1times 10^20
Solution
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(246 Votes)
Zadie
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. The formula is:
where:-
is the gravitational force,-
is the gravitational constant, approximately \( 6.674 \times 10^{-11} \, \text{N}\cdot(\text{m/kg})^2 \),-
and
are the masses of the two stars,-
is the distance between the centers of the two masses.Given:-
,-
.Substitute these values into the formula:
Calculate the numerator:
Calculate the denominator:
Now divide the results:
Therefore, the gravitational attractive force between the two stars is approximately
. However, this does not match any of the provided options exactly. Please check if there might be a typographical error in the options or if additional context is needed.