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## Homework Statement

The astronaut orbiting the Earth in Figure P4.32 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 700 km above the Earth's surface, where the free-fall acceleration is 8.12 m/s2. Take the radius of the Earth as 6400 km.

2.

**Relevant equations**

T=2(pi)radius/velocity

radial acceleration=V^2/radius

I am not sure if this is relevant, but the distance from the the satellite to the center of the earth is 6400km+700km=7100km.

Next I try to find the time it takes the satellite to reach the center:

First I find velocity from the radial acceleration equation. I set a=8.12m/s^2 (not sure if this is right)

Next I solve for velocity=sqrt(a*r) where r=6400

v=7208m/s

Next I use the velocity to calculate the time it takes for the object to reach the center using the equation T=2(pi)radius/velocity

=2pi*6400000/7208

=92.98 min (I already converted it back to minutes from seconds)

I am not sure what I am doing wrong.