two objects with masses of 2.0 kg and 5 kg, are 3.25 m apart, what is the gravitational force between them?
To calculate the gravitational force between two objects, you can use Newton's law of universal gravitation. The formula for calculating gravitational force (F) between two objects is:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67 × 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
Now, let's calculate the gravitational force between the two objects you mentioned. Given:
Mass of object 1 (m1) = 2.0 kg
Mass of object 2 (m2) = 5 kg
Distance between the objects (r) = 3.25 m
Plugging the values into the formula, we have:
F = (6.67 × 10^-11 N m^2 / kg^2) * (2.0 kg) * (5 kg) / (3.25 m)^2
Simplifying the equation:
F = (6.67 × 10^-11) * (10) / (3.25)^2
F = (6.67 × 10^-11) * 10 / 10.5625
F = 6.67 × 10^-11 / 1.05625
F ≈ 6.31 × 10^-11 N
Therefore, the gravitational force between the two objects is approximately 6.31 × 10^-11 Newtons.