The mass of the second object is [tex]5.94\cdot 10^{12} kg[/tex]
Explanation:
The magnitude of the gravitational force between two objects is given by :
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where :
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between them objects
In this problem we have:
F = 1100 N is the force
[tex]m_1 = 2500 kg[/tex] is the mass of object 1
r = 30 m is the distance between the object
Re-arranging the equation for [tex]m_2[/tex], we find the mass of the second object:
[tex]m_2 = \frac{Fr^2}{Gm_1}=\frac{(1100)(30)^2}{(6.67\cdot 10^{-11})(2500)}=5.94\cdot 10^{12} kg[/tex]
Learn more about gravitational force:
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