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

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me