Two spherical objects have masses of 300 kg and 1000 kg. Their centers are separated by a distance of 5m. find the gravitational attreaction between them.
To find the gravitational attraction between two objects, you can use Newton's law of universal gravitation, which 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 their centers.
The formula for gravitational attraction is given by:
F = (G * m1 * m2) / r^2,
Where:
F is the gravitational force,
G is the gravitational constant (approximately 6.67430 × 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, the masses of the objects are given as 300 kg and 1000 kg, respectively, and the distance between their centers is 5 m.
Let's calculate the gravitational attraction between the two objects:
F = (6.67430 × 10^-11 N m^2/kg^2 * 300 kg * 1000 kg) / (5 m)^2
Now, we can simplify and calculate the result:
F = (6.67430 × 10^-11 * 300000 * 1000) / 25
= (6.67430 × 30000000) / 25
= 2002299000 / 25
= 80091960 N
Therefore, the gravitational attraction between the two objects is approximately 80,091,960 N.