Aless-than-successful inventor wants to launch small satellites into orbit by launching them straight up from the surface of the earth at very high speed. a. with what speed should he launch the satellite if it is to have a speed of 500 m/s at a height of 400 km? ignore the air resistance.

2763.53411 m/s

Explanation:

M = Mass of Earth = 5.972 × 10²⁴ kg

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

r = Radius of Earth = 6371000 m

= Launch velocity

= Final velocity = 500 m/s

h = Altitude = 400 km

m = Mass of satellite

As the energy of the system is conserved we have

The launch speed of the satellite should be 2763.53411 m/s

the assestment will probley apele with cause and effect