Page 242 - Whole Earth Geophysics An Introductory Textbook For Geologists And Geophysicists

225
Anomalies
Gravity
i
i
of i is the gravitational Earth’s center determine to radius (R) Earth and (M) of the mass a) The FIGURE 8.3. (g), regardless of the is the same Earth's surface. b) The acceleration and above (g) of objects at acceleration than objects some distance have greater acceleration R,) Earth’s surface (radius Objects at mass of the object. c) R;). (radius above the surface Acceleration
force 8.2a): m,, mass attraction surface; mass; (a) body depends
body. The (Fig. Nm?/kg?) (m):’ with 8.2c): (Fig. Earth’s of center to their masses (m,. M2). the acceleration (a) of a

another of Gravitation (N) 107"! x objects the body the gravitational equations above Earth’s (m,), times to gravity

of objects (6.67 of by m, the or the center of that mass (r).
mass Law two mass mass 8.2b): to two Gm,m, on to point mass acceleration due
the m,m oy 2 2 the Constant of due the observed two objects is directly proportional (r).b) The to
to Newton's (kg) centers with (Fig. F=m,a m, (m/s”). 1
due by F=G between objects object mass m, combining F = mm Gm, — Pe] let: observation (F).c) The distance
body given Gravitational the the of Mation of mass Il 8.3a), acceleration of their distance the and
Isostasy one is attraction two the between on Law of object with then a 3 (Fig. Earth; the from between force

and FIELD on another of Universal of distance exerted Second object acceleration, field gravitational the of force the square gravitational attracting body (m,)
Gravity attraction on force F = i G = mass = = (F) acceleration the ~ gravity mass distance = a) The gravitational to the

8 GRAVITY the is acting m,,m, r force The Newton’s by = a of the for Earth’s a=g = u ll m, = M = R cr inversely proportional mass of the
Chapter EARTH’S Gravity body one where: given where: Solving For that: so 8.2 mass (m,), determines only on the

224 FIGURE and to
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