Question

a satellite is to be put into orbit 500km above the earths surface.if its vertical velocity after launching is 2000m/s at this height calculate the magnitude and direction of the impulse required to put the satellite directly into its orbit,if its mass is 50kg

Answer 1

$$F=m \times a=\frac{m \times v^2}{R}$$

$$F=G \times \frac{m \times Mearth}{R^2}$$

Equalize these equations and find v:

$$v= (\frac{G \times M}{R})^\frac{1}{2}= 7550 meter/sec$$

Required speed to enter orbit 500 kilometers, at an initial velocity of 2000 meters per second, it will not enter a given orbit