The acceleration of a satellite can be derived by equating the universal gravitational force and the centripetal force. *

1 point
True
False

True

True.

To derive the acceleration of a satellite, we can equate the universal gravitational force and the centripetal force acting on the satellite.

The universal gravitational force between two objects is given by the equation: F = (G * m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the masses.

The centripetal force acting on a satellite is given by the equation: F = (m * v^2) / r, where F is the centripetal force, m is the mass of the satellite, v is its velocity, and r is the radius of its orbit.

Equating these two forces, we have:

(G * m1 * m2) / r^2 = (m * v^2) / r

We can rearrange this equation to solve for the acceleration of the satellite (a):

a = (G * m1 * m2) / (r^2 * m)

Therefore, by equating the universal gravitational force and the centripetal force, we can derive the acceleration of a satellite.