Calculate the force of gravity on a 12 kg mass if it were 6.4 106 m above Earth's surface (that is, if it were 2 Earth radii from Earth's center.)
To calculate the force of gravity on a mass, we can use the formula:
F = (G * m1 * m2) / (r^2)
Where:
F is the force of gravity
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 involved
r is the distance between the centers of the two objects
In this case, we are calculating the force of gravity on a 12 kg mass located 6.4 x 10^6 m above Earth's surface (2 Earth radii from Earth's center).
Let's start by calculating the distance between the two objects. If the mass is located 2 Earth radii from Earth's center, we can calculate the distance as follows:
Radius of Earth = 6.371 x 10^6 m (approximately)
Distance from Earth's center = 2 * Radius of Earth = 2 * 6.371 x 10^6 m
Now we can substitute the values into the formula to calculate the force of gravity:
F = (G * m1 * m2) / (r^2)
F = (6.674 × 10^-11 N m^2/kg^2 * 12 kg * mass of Earth) / (2 * 6.371 x 10^6 m)^2
You can now plug in the values and calculate the force of gravity.