A 25000 kg rock is located at a distance of 7.6 x 108 m away from a small planet of mass 7.8 x 1023 kg. What is the mutual force of attraction between these two
F = G M m /d^2
6.67*10^-11*7.8*10^23*2.5*10^4/57.8*10^16
=2.25 * 10^0 = 2.25 N
To find the mutual force of attraction between the rock and the small planet, we can use the formula for Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
Where:
F is the force of attraction between the two objects
G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2)
m1 is the mass of the first object (mass of the rock)
m2 is the mass of the second object (mass of the planet)
r is the distance between the centers of the two objects (distance between the rock and the small planet)
Plugging in the values:
m1 = 25000 kg
m2 = 7.8 x 10^23 kg
r = 7.6 x 10^8 m
F = (6.67430 × 10^-11 N(m/kg)^2) * (25000 kg) * (7.8 x 10^23 kg) / (7.6 x 10^8 m)^2
Calculating this equation will give us the mutual force of attraction between the two objects.
To calculate the mutual force of attraction between two objects, we 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 to calculate the force (F) of gravity is:
F = (G * m1 * m2) / d^2
where
F is the force of gravity,
G is the gravitational constant (approximately 6.67430 x 10^-11 N(m/kg)^2),
m1 and m2 are the masses of the two objects, and
d is the distance between the centers of the two objects.
In this case, the mass of the rock (m1) is 25,000 kg, the mass of the planet (m2) is 7.8 x 10^23 kg, and the distance between them (d) is 7.6 x 10^8 m.
Plugging these values into the formula, we get:
F = (6.67430 x 10^-11 N(m/kg)^2) * (25,000 kg) * (7.8 x 10^23 kg) / (7.6 x 10^8 m)^2
Next, we can simplify the calculation:
F = (6.67430 x 10^-11) * (25,000) * (7.8 x 10^23) / (7.6 x 10^8)^2
F = 1.32675 x 10^1 N
Therefore, the mutual force of attraction between the rock and the planet is approximately 1.33 N.