Two Objects exert a gravitational force on 8N on one another. What would that force be if the mass of BOTH obj

Two Objects exert a gravitational force on 8N on one another. What would that force be if the mass of BOTH objects were doubled?

Please provide steps how to do it. Thanks.

Based on Newton's law of universal gravitation, the equation for the gravitational force exerted by an object on another object is given by:
F = Gm1m2/(r^2)
where G is the universal gravitational constant, F is the gravitational force exerted, m1 is the mass of the first object, m2 is the mass of the second object, and r is the separation distance between the two objects.
If the mass of both objects were doubled, then we would have: m1' * m2' = (2m1) * (2m2) = 4m1m2. Assuming r stays constant (G is a constant so that won't change anyway), then this means that the new force will be 4 times greater, ie 8N * 4 = 32N of gravitational force.

the force of gravity is described by

F = G m1 m2 /r^2

G is a constant, m1, m2 are the masses and r is the separation

if you double both masses, the product of m1 m2 increases by a factor of 4, so the force quadruples and increases to 4 x 8N=32N