# Chapter 8 - Exercises and Problems - Page 142: 39

#### Work Step by Step

We know that $T=2\pi\sqrt{\frac{r^3}{GM_m}}$ Where $r=R_m+130000m=1737400+130000=1867400m$ We plug in the known values to obtain: $T=2\pi\sqrt{\frac{(1867400)^3}{(6.67\times 10^{-11})(7.36\times 10^{22})}}=120.60\space minutes$ The time period while the astronaut was cut off$=\frac{T}{2}=60.3\space minutes$

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