Chapter 14, Problem 104P

(a)

To determine

To show that the force on the particle $x$ distance from the center of the tunnel is $-\frac{Gm{M}_E}{R_E^3}x$ .

(b)

To determine

To show that the period of the motion is given by $T=2\pi \sqrt{R_E/g}$ .

(c)

To determine

The numerical value of period.