Two 200kg masses(440 lb) are separated by a distance of of 0.75m. Using Newtons law of gravitational force Find the magnitude of the gravitational exerted by one mass on the other.
To find the magnitude of the gravitational force exerted by one mass on the other, we can use Newton's law of gravitation. This law states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
The formula for Newton's law of gravitation is:
F = (G * m1 * m2) / r^2
Where:
F is the magnitude of the gravitational force
G is the gravitational constant (approximately 6.67430 x 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, the masses of the two objects are 200 kg each (440 lb) and the distance between them is 0.75 m. Let's plug these values into the formula:
F = (6.67430 x 10^-11 N m^2 / kg^2) * (200 kg) * (200 kg) / (0.75 m)^2
F = 2.2325 * 10^-7 N
Therefore, the magnitude of the gravitational force exerted by one mass on the other is approximately 2.2325 x 10^-7 Newtons.