Calculate the force of gravitational attraction between two spheres of mass 10.1kg and 45.2 kg that are 38.5m apart.
To calculate the gravitational force between two objects, we can use Newton's Law of Universal Gravitation, which states that the force of gravitational attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The formula to calculate the gravitational force (F) is:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.674 × 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects
In this case, we have:
m1 = 10.1 kg
m2 = 45.2 kg
r = 38.5 m
Plugging in these values into the formula, we get:
F = (6.674 × 10^-11 N m^2/kg^2 * 10.1 kg * 45.2 kg) / (38.5 m)^2
Now, let's calculate it step by step:
Step 1: Multiply the masses of the two objects
m1 * m2 = 10.1 kg * 45.2 kg = 456.52 kg^2
Step 2: Square the distance between the centers of the two objects
r^2 = (38.5 m)^2 = 1482.25 m^2
Step 3: Calculate the product of the masses divided by the square of the distance
(6.674 × 10^-11 N m^2/kg^2 * 456.52 kg^2) / 1482.25 m^2
Step 4: Simplify and calculate the result
F ≈ 2.05 × 10^-9 N
Therefore, the gravitational force between the two spheres of mass 10.1 kg and 45.2 kg, separated by a distance of 38.5 m, is approximately 2.05 × 10^-9 N.