Two balls have their centers 2.0 m apart. One ball has a mass of m1 = 8.3 kg. The other has a mass of m2 = 5.9 kg. What is the gravitational force between them? (Use G = 6.67 10-11 N · m2/kg2.)
To calculate the gravitational force between two objects, we can use the formula:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force between the two objects,
G is the gravitational constant (6.67 * 10^-11 N * m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Given that m1 = 8.3 kg, m2 = 5.9 kg, and the distance between their centers is 2.0 m, we can substitute these values into the formula:
F = (6.67 * 10^-11 N * m^2/kg^2) * (8.3 kg * 5.9 kg) / (2.0 m)^2
First, let's calculate the values inside the parentheses:
F = (6.67 * 10^-11 N * m^2/kg^2) * (48.97 kg^2) / (4.0 m^2)
Next, let's multiply the two numbers:
F = (6.67 * 10^-11 N * m^2/kg^2) * 48.97 kg^2 / 4.0 m^2
F = (6.67 * 10^-11) * 48.97 / 4.0 * (N * m^2/kg^2)
F ≈ 8.13974 * 10^-11 N
Therefore, the gravitational force between the two balls is approximately 8.13974 * 10^-11 N.
To calculate the gravitational force between two objects, you can use the formula:
F = (G * m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (6.67 * 10^-11 N · m^2 / kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers.
In this case, m1 = 8.3 kg, m2 = 5.9 kg, and the distance between their centers is 2.0 m.
Plugging these values into the formula:
F = (6.67 * 10^-11 N · m^2 / kg^2) * (8.3 kg * 5.9 kg) / (2.0 m)^2
First, we calculate the numerator:
(8.3 kg * 5.9 kg) = 48.97 kg^2
Next, we calculate the denominator:
(2.0 m)^2 = 4.0 m^2
Now, we can substitute these values into the formula:
F = (6.67 * 10^-11 N · m^2 / kg^2) * (48.97 kg^2) / (4.0 m^2)
F = 3.92 * 10^-10 N
Therefore, the gravitational force between the two balls is approximately 3.92 * 10^-10 Newtons.
73
(6.67*10^-11 N*m^2/kg^2)(8.83kg)(5.9kg)/((2m)^2)
8.7*10^-10 Newtons