please and thank you!! 1. For a spherical density anomaly shown below, sketch th

Question

please and thank you!!

1. For a spherical density anomaly shown below, sketch the gravity anomaly observed on the surface. Estimate the gravity anomaly observed at A and B. The volume of a sphere is 4/3r and the gravitational constant is 6.67x 10 m kg s AB-0.5 km h=1 km -2700 kg/? r-200 m p-2000 kg/m 2. Assuming there is a ring shape circular tunnel 200 meters beneath the ground. The radius of the ring is 50 meters and the radius of the tunnel is I meters. Roughly estimate the expected gravitational anomaly at the surface on top of the center of the ring.

Explanation / Answer

1. Mass of the sphere = volume * density

volume=(4/3)pi r3 = (4*3.141*2003)/3 = 33504000

mass=33504000*700=2.34*1010

G=6.67x 10-11 m3 kg-1 s-2

g=GM/r2 = GM/(x2+z2)

              =(6.67x 10-11 *2.34x1010)/(12 +0.52)

             =1.248mgal/m

2 expected gravitational anomaly =(2g/R)*h

                                                =(2*10/50)*200

                                                =80mgal/m

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