Page 243 - Whole Earth Geophysics An Introductory Textbook For Geologists And Geophysicists

225 Acceleration (Fig. toward Earth’s acceleration from smaller of acceleration but of mass. two first net The milli- different from

Anomalies the gravitational (g), regardless of the than objects some distance 1) Earth the accelerate from law. varies surface (Fig. 8.4a). The combination outward equator the because equator of center the that it. increases of units in 8.4b). (Fig. below gravity in accomplished is

Gravity is the same properties of gravity. to attracted will farther The gravitational inverse square Earth's the of of at greatest the at the to (R) Notice third expressed m/s?. pole to mass in changes observations. This
Earth’s center determine have greater acceleration (m,) (feather) mass 2) (safe). the smaller an on the poles at because is poles, because is (rotation) acceleration radius the acceleration. the while commonly m/s? 0.01 1075 = cm/s? equator from changes broad the

to Earth's surface. b) The acceleration R,) fundamental mass the small mass large the R), obeys thus acceleration m/s? 9.83 the to acceleration spin /ess is increasing more equator, is = cm/s? 1073 = mGal interpret differences, station
radius (R) two on depend a resistance, a as the about compared inward the There thereby creates the at difference. (gravity) 1 = Gal 5000 to used mass from

Earth and Earth’s surface (radius illustrates not air rate same greater the field, gravity gravitational to equator equator, /ess is Earth; the 2) poles. bulging, bulge the acceleration m/s? —0.05 acceleration Gal 1 107° = mGal about by be can the see subtracted

(M) of the and above R;). does (g) of absence the at is, (that potential the of the at the There of spin the at outward of mass the observed where: 1 varies ANOMALIES Earth. To be must

mass (g) of objects at Objects at (radius equation gravity the surface mass a value 9.78 m/s? at 1) the zero added lessen the Gravitational therefore, observations the pole
a) The above to in Earth’s of center 8.3c); as The about acceleration factors. by caused to reduces Earth’s The factors is (mGal), that: Gravity, Gravity of regions to equator

FIGURE 8.3. acceleration mass of the object. c) above the surface The due 8.3b); (Fig. three the 3) effect gals so GRAVITY

i i i $

of is due
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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