The gravitational force between two very large metal spheres in outer space is 57 N. How large would this force be if the mass of each sphere were

Since F=GMm/r^2, if the masses were scaled by a factor or x, then F would change by a factor of x^2

To calculate the force of gravity between two spheres, we can use the equation:

F = (G * m1 * m2) / r^2

Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2)
m1 and m2 are the masses of the two spheres
r is the distance between the centers of the spheres

In this case, the gravitational force between the two spheres is given as 57 N. Let's assume the mass of each sphere is M kg.

Now we can rearrange the formula to solve for M:

M = sqrt((F * r^2) / (G * m2))

To find the value of M, we need to know the value of m2 (mass of the other sphere) and the value of r (distance between the centers of the spheres).

Once we have these values, we can substitute them into the formula to calculate the mass of each sphere.