Answer:
108N
Step-by-step 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