7. Bonus Figure 1 shows a tunnel in a uniform planet of mass M and radius R. At a distance r from the center, the gravit

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7 Bonus Figure 1 Shows A Tunnel In A Uniform Planet Of Mass M And Radius R At A Distance R From The Center The Gravit 1 (51.46 KiB) Viewed 30 times

7. Bonus Figure 1 shows a tunnel in a uniform planet of mass M and radius R. At a distance r from the center, the gravitational attraction is due only to the sphere of radius r. Thus F GmM(r) mgr 72 R where M(r) = 1/73/R and g = GN/RShow by Newton's 2nd law for the motion along the tunnel leads to the differential equation for SHM: x"(t) + z(t) = 0. Estimate the period of the oscillation for the earth. R