What is the force of attraction between an 8 kg bowling ball and a 13 kg cannon ball that are sitting 2 meters apart?
To find the force of attraction between the two objects, we can use the formula for gravitational force:
F = G * (m1 * m2) / d^2
Where:
F is the force of attraction between the objects
G is the gravitational constant (approximately 6.674 × 10^-11 N.m^2/kg^2)
m1 and m2 are the masses of the objects (in this case, the bowling ball and the cannonball)
d is the distance between the centers of the two objects
In this case, the mass of the bowling ball (m1) is 8 kg, the mass of the cannonball (m2) is 13 kg, and the distance between them (d) is 2 meters.
Plugging in the values into the formula:
F = (6.674 × 10^-11 N.m^2/kg^2) * (8 kg * 13 kg) / (2 meters)^2
Now, let's calculate the force using a calculator:
F ≈ (6.674 × 10^-11) * (8 * 13) / 4
F ≈ (6.674 × 10^-11) * 104 / 4
F ≈ (6.674 × 10^-11) * 26
F ≈ 1.735 * 10^-9 N
Therefore, the force of attraction between the bowling ball and the cannonball is approximately 1.735 * 10^-9 Newtons.