Two bowling balls each have a mass of 6.8kg. the speres are located nest to one another with their centers 21.8 cm apart. what gravitational force do they exert on each other?
To determine the gravitational force between two objects, we can use Newton's law of universal gravitation. The formula is as follows:
F = G * (m1 * m2) / r^2
Where:
F = gravitational force between the objects
G = gravitational constant (approximately 6.67430 × 10^-11 N m^2/kg^2)
m1 and m2 = masses of the two objects
r = distance between the centers of the two objects
In this case, the mass of each bowling ball (m1 and m2) is 6.8 kg, and the distance between their centers (r) is 21.8 cm (which should be converted to meters). Let's calculate the gravitational force:
Step 1: Convert cm to meters:
21.8 cm = 0.218 m
Step 2: Plug the values into the formula:
F = (6.67430 × 10^-11 N m^2/kg^2) * (6.8 kg * 6.8 kg) / (0.218 m)^2
Step 3: Simplify and calculate:
F = (6.67430 × 10^-11 N m^2/kg^2) * (46.24 kg^2) / (0.047524 m^2)
≈ 4.785 × 10^-9 N
Therefore, the gravitational force that the two bowling balls exert on each other is approximately 4.785 × 10^-9 N.
To calculate the gravitational force between two objects, you can use Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force between the objects,
G is the gravitational constant (approximately 6.674 × 10^-11 N(m/kg)^2),
m1 and m2 are the masses of the objects, and
r is the distance between the centers of the objects.
In this case, both bowling balls have the same mass of 6.8 kg, so m1 = m2 = 6.8 kg. The distance between their centers, r, is given as 21.8 cm or 0.218 m.
Now, let's substitute the values into the equation:
F = (6.674 × 10^-11 N(m/kg)^2 * 6.8 kg * 6.8 kg) / (0.218 m)^2
Let's calculate the answer:
F = (6.674 × 10^-11 N(m/kg)^2 * 46.24 kg^2) / (0.047524 m^2)
= (3.11828256 × 10^-9) / (0.00225449)
= 1.382 × 10^-6 N (approximately)
Therefore, the gravitational force exerted by the bowling balls on each other is approximately 1.382 × 10^-6 Newtons.