Two 6.7kg bowling balls, each with a radius of 0.14m , are in contact with one another.What is the gravitational attraction between the bowling balls?
3.8x10^-8
To calculate the gravitational attraction between the two bowling balls, we can use the formula for gravitational force:
F = G * (m1 * m2) / r^2,
where:
F is the gravitational force,
G is the gravitational constant (approximately 6.674 × 10^-11 Nm^2/kg^2),
m1 and m2 are the masses of the two bowling balls,
and r is the distance between the centers of the balls.
First, let's calculate the mass of one bowling ball:
Mass = 6.7 kg.
Next, we need to calculate the distance between the centers of the balls. Since the balls are in contact with each other, the distance between their centers is equal to twice the radius of one ball:
r = 2 * 0.14 m = 0.28 m.
Now, we can substitute the values into the formula:
F = 6.674 × 10^-11 Nm^2/kg^2 * (6.7 kg * 6.7 kg) / (0.28 m)^2.
F = 6.674 × 10^-11 Nm^2/kg^2 * 44.89 kg^2 / 0.0784 m^2.
F = 30.681 * 10^-11 Nm^2/kg * 570.6637.
F = 17.5075 * 10^-8 N.
Therefore, the gravitational attraction between the bowling balls is approximately 1.75 × 10^-7 N.
To find the gravitational attraction between the bowling balls, we can use the formula for gravitational force between two objects given by 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 6.67430 × 10^-11 N*m^2/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, the masses of the bowling balls are both 6.7 kg, and their radii are both 0.14 m. The radius is half of the diameter, so the distance between the centers of the balls is twice the radius.
Let's calculate the gravitational force:
F = (6.67430 × 10^-11 N*m^2/kg^2 * 6.7 kg * 6.7 kg) / (2 * 0.14 m)^2
Simplifying the equation:
F = (6.67430 × 10^-11 N*m^2/kg^2 * 6.7 kg * 6.7 kg) / (0.28 m)^2
F = (6.67430 × 10^-11) * 6.7^2 / 0.28^2 N
Now, using a calculator:
F ≈ 7.859 × 10^-9 N
Therefore, the gravitational attraction between the bowling balls is approximately 7.859 × 10^-9 Newtons.
F = G*M^2/X^2
X = 2R = 0.28 m is the distance between the centers
M is the universal constant of gravity. Look is up if you don't know it already.
The answer will be in Newtons