Two balls, each with a mass of 0.819 kg,
exert a gravitational force of 8.76 × 10^−11 N on each other.
How far apart are the balls? The value
of the universal gravitational constant is
6.673 × 10−11 Nm2/kg2.
Answer in units of m.
Try solving the law of gravity equation:
8.76*10^-11 N = G *(0.819 kg)^2/R^2
to get the value of R. With your value of G, you will get R in meters.
To find the distance between the two balls, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force between the balls,
G is the universal gravitational constant,
m1 and m2 are the masses of the balls,
and r is the distance between the balls.
In this case, we are given the mass of each ball (0.819 kg), the gravitational force (8.76 × 10^−11 N), and the value of the universal gravitational constant (6.673 × 10−11 Nm^2/kg^2). We need to solve for r.
Rearranging the formula, we have:
r = √((G * m1 * m2) / F)
Plugging in the given values:
r = √((6.673 × 10−11 Nm^2/kg^2 * 0.819 kg * 0.819 kg) / (8.76 × 10^−11 N))
Calculating this expression will give us the distance between the two balls in meters.