A satellite will travel indefinitely in a circular orbit around the earth if the normal component of its acceleration is equal to 2 gRr ( /), where 2 g =9.81 m/s , R = radius of the earth = 6370 km, and r = distance from the center of the earth to the satellite. Assuming that the orbit of the moon is a circle of radius 3 384 10 km, ´ determine the speed of the moon relative to the earth.

3665.46 km/hr

Explanation:

Given that :

R = radius of the earth = 6370 km = (6370 * 10^3)m

Radius from earth center, r = 384 * 10^3 km = (384 * 10^6) m

g = 9.8 m/s²

Using the relation :

V = sqrt(gR² /r)

V² = (9.81 * (6370*10^3)²) / 384 * 10^6

V² = (3.981 * 10^8 *10^6 / 384 * 10^6)

V² = 1.0367 * 10^(12 - 6)

V² = 1.0367 * 10^6

V² = 1036700

V = sqrt(1036700)

V = 1018.1846 m/s

(1018.1846 * 1/1000 * 3600) km/hr

V = 3665.46456 km/hr

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this

at right angles to each other