A satellite orbits earth at 800 m from the earth's center. Gravity at this location is 6.2 m/s^2. What is the velocity of the satellite

Respuesta :

Recall that the magnitude of the acceleration [tex]a[/tex] of a particle moving with speed [tex]v[/tex] in a circular path around a point at a distance [tex]R[/tex] away from the particle is given by

[tex]a=\dfrac{v^2}R[/tex]

So, the satellite has velocity

[tex]6.2\,\dfrac{\rm m}{\mathrm s^2}=\dfrac{v^2}{800\,\rm m}\implies v=70.4\,\dfrac{\rm m}{\rm s}[/tex]

pointing in the direction tangent to the circular path.