Calculate the force of earths Gravity on a 2.00 earth radii above the earth surface if it's mass is 1850kg.
To calculate the force of Earth's gravity on an object, we can use the formula for gravitational force:
F = (G * m * M) / r^2
where F is the force of gravity, G is the gravitational constant (approximately 6.67430 x 10^-11 m^3 kg^-1 s^-2), m is the mass of the object, M is the mass of Earth, and r is the distance between the center of the object and the center of Earth (in this case, 2.00 times the radius of Earth).
First, we need to find the mass of Earth. The mass of Earth is approximately 5.972 x 10^24 kg.
Next, we can plug all the values into the equation:
F = (6.67430 x 10^-11 * 1850 * 5.972 x 10^24) / (2 * (radius of Earth)^2)
Note: The radius of Earth is approximately 6,371 kilometers, or 6,371,000 meters.
F = (6.67430 x 10^-11 * 1850 * 5.972 x 10^24) / (2 * (6,371,000)^2)
Simplifying the equation gives us:
F = 1.5581 x 10^8 N
So, the force of Earth's gravity on an object at a distance of 2.00 Earth radii above the Earth's surface with a mass of 1850 kg is approximately 1.5581 x 10^8 Newtons.
gravity follows an inverse square relation
two radii above the surface is three times the distance from the center (of mass) to the surface
so the force would be ... g / (3^2)