Two objects have a gravitational force of 1100N. If the two objects are 30m apart and the mass of one object is 2500kg, what is

Question

3 years ago

7

the mass of
the second object?
x Cent
-Undo
Redo

1 answer:

AysviL [449] · Answer 1 · 2022-07-25T06:06:46+03:00

The mass of the second object is $5.94\cdot 10^{12} kg$

Explanation:

The magnitude of the gravitational force between two objects is given by :

$F=G\frac{m_1 m_2}{r^2}$

where :

$G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}$ 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

$m_1 = 2500 kg$ is the mass of object 1

r = 30 m is the distance between the object

Re-arranging the equation for $m_2$ , we find the mass of the second object:

$m_2 = \frac{Fr^2}{Gm_1}=\frac{(1100)(30)^2}{(6.67\cdot 10^{-11})(2500)}=5.94\cdot 10^{12} kg$

Learn more about gravitational force:

#LearnwithBrainly