Two balls, each with a mass of 0.769 kg, exert a gravitational force of 8.62 * 10 ^ - 11 * N on each other How far apart are the balls? The value of the universal gravitational constant is 6.673*10^ -11 Nm^ 2 /kg^ 2 Answer in units of m.
F = GMm/d^2
so d^2 = F/(G*0.769^2)
now finish it off
.45779
To find the distance between the two balls, we can use Newton's law of universal gravitation. The formula for this law is:
F = G * (m1 * m2) / r^2
Where:
F is the force between the two objects,
G is the universal gravitational constant,
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
In this case, we are given:
F = 8.62 * 10^-11 N
m1 = m2 = 0.769 kg
G = 6.673 * 10^-11 Nm^2 / kg^2
We want to find the value of r.
Rearranging the equation, we have:
r^2 = (G * (m1 * m2)) / F
Now, we can substitute the given values into the equation:
r^2 = ((6.673 * 10^-11 Nm^2 / kg^2) * (0.769 kg * 0.769 kg)) / (8.62 * 10^-11 N)
Simplifying the equation, we get:
r^2 = 4.911 * 10^-3 m^3 / kg^2
Taking the square root of both sides gives us:
r ≈ 6.994 * 10^-2 m
Therefore, the distance between the two balls is approximately 6.994 * 10^-2 meters.