a) Planet X is a sphere made entirely of the mythical metal exoferrum, which has

Question

a) Planet X is a sphere made entirely of the mythical metal exoferrum, which has density ? = 3180 kg/m3. Find ?, the period of orbit for a satellite in circular orbit just above the surface of Planet X. (That's right: I did not give you the mass or the radius of the planet!)
1 hr

b) Logs of a certain wood (density ? = 594 kg/m3) are cylinders of radius r = 0.0657 m and length L = 3.32 m. Find N, the minimum number these logs needed to create a raft that will support mass m = 849 kg when it floats in fresh water.
NOTE: The answer has to be a whole number of logs, and you must round upward, no matter what the decimal: an answer of 10.2 logs must be changed to 11.
2 logs

Explanation / Answer

b)let min number be N so vol under water=N*pi*r^2*h=x*pi*.0657^2*3.32=.045 N so N*.045*1000=849*9.8+.045 N*594 so N=455.4 so N=456

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