Objects 1 and 2 attract each other with a gravitational force of 36.0 units. if the mass of object 2 is tripled, then the new gravitational force will be units.

108N

Explanation:

According to law of gravitation which states that "the force

of attraction between two masses in a gravitational field is directly proportional to the product of their masses and inversely proportional to the square of their distance between them.

Mathematically, F = Gm1m2/r²

Where;

m1 and m2 are the masses of the object

G is the gravitational constant

r is the distance between the masses

If Objects 1 and 2 attract each other with a gravitational force of 36.0 units, we will have;

36 = Gm1m2/r²... (1)

If the mass of Object 2 is tripled, the gravitational force becomes

F = Gm1(3m2)/r²

F = 3Gm1m2/r²... (2)

Dividing equation 1 by 2, we will have;

36/F = {Gm1m2/r²}/3Gm1m2/r²

36/F = Gm1m2/r²×r²/3Gm1m2

36/F = 1/3

Cross multiplying we have

F = 36×3

F = 216N

Therefore, the gravitational force when the second object is tripled is 108N

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