An astronaut orbiting the earth is preparing to dock with a westar vi satellite. the satellite is in a circular orbit 500 km above the earth's surface, where the free-fall acceleration is 8.25 m/s2. take the radius of the earth as 6400 km. determine the speed of the satellite.

As the satellite is in free fall, therefore we use the formula

Here, v is the orbital speed, r is radius of Earth plus satellite is in a circular orbit 500 km above the earth's surface and g is the satellite free-fall acceleration    .

Given   and

Substituting these values in above equation we get,

Thus, the speed of satellite in  order to maintain the  orbit is

electrical potential energy =0.072 j

explanation:

electrical potential energy is given by

u= q δv

q= charge=6 c

δv= potential difference and is given by

δv= e d

e= electric field

d= distance=5 mm=0.005 m

δv=2.4 (0.005)=0.012 v

now electric potential energy= u= q δv

u=6 (0.012)

u=0.072 j

the doppler effect is used by weather forecasters to measure 

moving clouds